List of Data Envelopment Analysis subject articles

Open Access Article

1 - An approach to rank efficient DMUs in DEA based on combining Manhattan and infinity norms
شکرالله زیاری مناف شریف زاده

In many applications, discrimination among decision making units (DMUs) is a problematic technical task procedure to decision makers in data envelopment analysis (DEA). The DEA models unable to discriminate between extremely efficient DMUs. Hence, there is a growing int More

In many applications, discrimination among decision making units (DMUs) is a problematic technical task procedure to decision makers in data envelopment analysis (DEA). The DEA models unable to discriminate between extremely efficient DMUs. Hence, there is a growing interest in improving discrimination power in DEA yet. The aim of this paper is ranking extreme efficient DMUs in DEA based on exploiting the leave-one out idea and combining of Manhattan and infinity norms with constant and variable returns to scale. The proposed method has been able to overcome the existing difficulties in some ranking methods. Manuscript profile

Open Access Article

2 - Alternative ranking method in Dynamic Data Envelopment Analysis (DDEA)
مهناز مقبولی امید یعقوبی اگره زهرا محمدزاده

The motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases th More

The motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases the best operating unit is important to be sampled for the others in under evaluated time periods. However, in this special concept of DEA, quasi-fixed inputs or intermediate products are the source of inter temporal dependence between consecutive periods. Hence, in order to have suitable ranking for units operating in dynamic environment the minimum and maximum efficiency values of each DMU in dynamic state are computed. Also, we assume that the sum of efficiency values of all DMUs in dynamic state is equal to unity. Thereafter, the rank of each DMU is determined through the combination of its maximum and minimum efficiency values. A real case of Iranian gas companies highlights the applicability of the proposed method in Dynamic framework. Manuscript profile

Open Access Article

3 - Sensitivity Analysis in Two-Stage DEA
آتنا فرقانی اسماعیل نجفی

Data envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outp More

Data envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outputs used as the inputs of the second stage to produce final outputs. One important issue in two-stage DEA is the sensitivity of the results of an analysis to perturbations in the data. The current paper looks into combined model for two-stage DEA and applies the sensitivity analysis to DMUs on the entire frontier. In fact, necessary and sufficient conditions for preserving a DMU's efficiency classiffication are developed when various data changes are applied to all DMUs. Manuscript profile

Open Access Article

4 - Supplier selection among alternative scenarios by Data envelopment analysis
محسن واعظ قاسمی

A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have More

A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers.A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers. Manuscript profile

Open Access Article

5 - Ranking efficient DMUs using the variation coefficient of weights in DEA
Mojtaba Ziari Shokrollah Ziari

One of the difficulties of Data Envelopment Analysis(DEA) is the problem of de_ciency discrimination among efficient Decision Making Units(DMUs) and hence, yielding large number of DMUs as efficient ones. The main purpose of this paper is to overcome this inability. One More

One of the difficulties of Data Envelopment Analysis(DEA) is the problem of de_ciency discrimination among efficient Decision Making Units(DMUs) and hence, yielding large number of DMUs as efficient ones. The main purpose of this paper is to overcome this inability. One of the methods for ranking efficient DMUs is minimizing the Coefficient of Variation (CV) for inputs-outputs weights. In this paper, it is introduced a nonlinear model for ranking efficient DMUs based on the minimizing the mean absolute deviation of weights and then we convert the nonlinear model proposed into a linear programming form. Manuscript profile

Open Access Article

6 - An Integrated DEA and Data Mining Approach for Performance Assessment
علیرضا علینژاد

This paper presents a data envelopment analysis (DEA) model combined with Bootstrapping to assess performance of one of the Data mining Algorithms. We applied a two-step process for performance productivity analysis of insurance branches within a case study. First, usin More

This paper presents a data envelopment analysis (DEA) model combined with Bootstrapping to assess performance of one of the Data mining Algorithms. We applied a two-step process for performance productivity analysis of insurance branches within a case study. First, using a DEA model, the study analyzes the productivity of eighteen decision-making units (DMUs). Using a Malmquist index, DEA determines the productivity scores but cannot give details of factors depend on regress and progress productivity. The proposed model presents anew latent variable radial input-oriented technology and simultaneously reduces inputs and undesirable outputs in a single multiple objective linear programming. On the other hand, classification and regression tree allow DMU to extract rules for exploring and discovering meaningful and hidden information from the vast databases. The results provide a set of rules that can be used by policy makers to explore reasons behind the progress and regress produc-tivities of DMUs. Manuscript profile

Open Access Article

7 - Ranking efficient DMUs using the infinity norm and virtual inefficient DMU in DEA
شکراله زیاری مناف شریف زاده

In many applications, ranking of decision making units (DMUs) is a problematic technical task procedure to decision makers in data envelopment analysis (DEA), especially when there are extremely efficient DMUs. In such cases, many DEA models may usually get the same eff More

In many applications, ranking of decision making units (DMUs) is a problematic technical task procedure to decision makers in data envelopment analysis (DEA), especially when there are extremely efficient DMUs. In such cases, many DEA models may usually get the same efficiency score for different DMUs. Hence, there is a growing interest in ranking techniques yet. The purpose of this paper is ranking extreme efficient DMUs in DEA based on exploiting the leave-one out and minimizing the maximum distance between DMU under evaluation and boundary efficient in input and output directions. The proposed method has been able to overcome the lacks of infeasibility and unboundedness in some DEA ranking methods. Manuscript profile

Open Access Article

8 - Ranking of bank branches with undesirable and fuzzy data: A DEA-based approach
سهراب کردرستمی علیرضا امیرتیموری منیره جهانی صیاد نویری

Banks are one of the most important financial sectors in order to the economic development of each country. Certainly, efficiency scores and ranks of banks are significant and effective aspects towards future planning. Sometimes the performance of banks must be measured More

Banks are one of the most important financial sectors in order to the economic development of each country. Certainly, efficiency scores and ranks of banks are significant and effective aspects towards future planning. Sometimes the performance of banks must be measured in the presence of undesirable and vague factors. For these reasons in the current paper a procedure based on data envelopment analysis (DEA) is introduced for evaluating the efficiency and complete ranking of decision making units (DMUs) where undesirable and fuzzy measures exist. To illustrate, in the presence of undesirable and fuzzy measures, DMUs are evaluated by using a fuzzy expected value approach and DMUs with similar efficiency scores are ranked by using constraints and the Maximal Balance Index based on the optimal shadow prices. Afterwards, the efficiency scores of 25 branches of an Iranian commercial bank are evaluated using the proposed method. Also, a complete ranking of bank branches is presented to discriminate branches. Manuscript profile

Open Access Article

9 - Comparison of the Efficiency of Power Transmission Companies in the Electric Power Industry of Iran Applying Conventional and Network Data Envelopment Analysis Methods
کامبیز شاهرودی محمد رضا خسروی

This study is an applied study conducted to evaluate and compare the efficiency of Iran's regional power companies using conventional and network Data Envelopment Analysis methods. Iran's regional power companies use two- phased process to transmit power. Using applied More

This study is an applied study conducted to evaluate and compare the efficiency of Iran's regional power companies using conventional and network Data Envelopment Analysis methods. Iran's regional power companies use two- phased process to transmit power. Using applied approach, the performance and efficiency of these companies were measured with network and conventional methods, and they were compared with each other (input-oriented BCC). It was indicated that network models have wider application compared with other method since it provides vivid picture of the efficiency of regional power companies. The Wilcoxon test result shows there is significant difference between efficiency scores of Iran's regional power companies using BCC and network methods, and investigation of the quality of difference of scores also indicate that efficiency of companies in the network model is lower than efficiency scores of BCC model. In general, network models have higher application than to provide a vivid picture of the efficiency of regional electricity companies and more accurate comparison of them. Manuscript profile

Open Access Article

10 - Data Envelopment Analysis from simulation on the Lattice QCD using CCR model
محمد حسین درویش متولی

One of the most serious principles in production theory in economic is the principle of "efficiency". Simply put, efficiency can be defined as the demand that the desired goals (outputs) are achieved with the minimum use of the available resources (inputs). In order to, More

One of the most serious principles in production theory in economic is the principle of "efficiency". Simply put, efficiency can be defined as the demand that the desired goals (outputs) are achieved with the minimum use of the available resources (inputs). In order to, distinguish the relative efficiency of organizational units with multiple inputs to produce multiple outputs, "Data Envelopment Analysis" (DEA) method was introduced by Charnes, Cooper and Rhodes. In fact, DEA is a linear mathematical programming which calculates the efficiency of an organization within a group relative to observed best practice within that group. Unlike common statistical analysis which are based on central tendencies, it is a methodology directed at the frontier. Recently, DEA has become one of the most favorite fields in operations research. The background was a motivation for us to in this paper, via running the CCR model in "DEA-Solver Software", present data envelopment analysis from simulation on the lattice QCD with temporal extent N_τ=4,6, respectively. Astonishingly, results are derived for both cases, indicating the fact that efficient data set belong to the areas of high temperature (deconfinement phase). It is very interesting to highlight that even an efficient data has not reported at low temperature (confinement phase). Note that the data obtained at the critical temperature is also efficient. As expected from practical lattice QCD, the DEA-CCR model presented in this paper also confirms the fact which the best data set arises from simulation in continuum limit a→0. Indeed, by taking the limit of vanishing lattice spacing, the efficiency of algorithms can be further. Manuscript profile

Open Access Article

11 - Choosing weights for a complete ranking of DMUs in DEA and cross-evaluation
پریچهر زمانی

Conventional data envelopment analysis (DEA) assists decision makers in distinguishing between efficient and inefficient decision making units (DMUs) in a homogeneous group. However, DEA does not provide more information about the efficient DMUs. One of the interesting More

Conventional data envelopment analysis (DEA) assists decision makers in distinguishing between efficient and inefficient decision making units (DMUs) in a homogeneous group. However, DEA does not provide more information about the efficient DMUs. One of the interesting research subjects is to discriminate between efficient DMUs. The aim of this paper is ranking all efficient (extreme and non-extreme) DMUs based on defining the new index which is obtained from basic definitions of models. The proposed method has been able to remove the existing deficiencies in some ranking methods and therefore makes a new contribution to DEA ranking. Manuscript profile

Open Access Article

12 - Malmquist Productivity Index Using Two-stage DEA Model in Heart Hospitals
علی رضا علینژاد میرپویا میرمظفری

Abstract Heart patients displays several symptoms and it is hard to point them. Data envelopment analysis (DEA) provides a comparative efficiency degree for each decision-making units (DMUs) with several inputs and outputs. Evaluating of hospitals is one of the major ap More

Abstract Heart patients displays several symptoms and it is hard to point them. Data envelopment analysis (DEA) provides a comparative efficiency degree for each decision-making units (DMUs) with several inputs and outputs. Evaluating of hospitals is one of the major applications in DEA. In this study, a comparison of additive model with standard input oriented and output oriented Malmquist productivity index (MPI) are used. The MPI is calculated to measure productivity growth relative to a reference technology. Two primary subjects are addressed in computation of MPI growth. What are generally referred to as a “catching-up” effect or technical efficiency change (TEC) and a “frontier shift” effect or technological change (TC). The data covers a six-year span from 2011 to 2016 for 15 local heart hospitals. Two inputs, one intermediate element and two outputs are chosen in two-stage model and these factors reflect the main function of hospitals. Conversion of two-stage to single-stage model is introduced. This model is proposed to fix the efficiency of a two-stage process, and avoid the dependence to various weights. Finally, the results indicated that geometry average of MPI in input oriented pure technical efficiency (PTE) in the tenth Hospital (2.1517) is introduced as the highest performance hospital with highest productivity growth. Manuscript profile

Open Access Article

13 - Performance Evaluation of Bank Branches by the DEA-Tobit Model: The Case of Agricultural Bank Branches in Guilan Province
حمیدرضا علیپور غلامرضا محفوظی محسن شفیعیان شیوا رضاییان

This paper uses data envelopment analysis (DEA) to examine the technical, pure technical, and scale efficiencies of 12 branches of the agricultural bank in Guilan province, Iran over the period of 2012-2016. The first results indicated that scale inefficiency contribute More

This paper uses data envelopment analysis (DEA) to examine the technical, pure technical, and scale efficiencies of 12 branches of the agricultural bank in Guilan province, Iran over the period of 2012-2016. The first results indicated that scale inefficiency contributed more to overall technical inefficiency than pure technical inefficiency over the studied period. Results of return to scale reveal that decreasing return to scale is the main form of scale inefficiency. Then, overall technical efficiency scores obtained from DEA was regressed over four factors determining bank efficiency (including bank size, profitability, capital adequacy, and liquidity) by the Tobit method. These four variables influenced efficiency differently. Branch size showed a negative, insignificant relationship with technical efficiency. So, it had no impact on efficiency. Profitability was the main parameter in branch efficiency following by liquidity. Profitability and liquidity influenced efficiency positively and significantly. In other words, larger and more profitable branches have higher technical efficiency. Manuscript profile

Open Access Article

14 - The application of super efficiency technics in measuring the efficiency of bank branches (Case study: Melli Bank of Gilan Province)
میترا صفری منصور صوفی مهدی همایونفر

In today's competitive world, many manufacturing and service firms, including banks, have been forced to use new managerial approaches, and methods for assessing organizational performance. The Data Envelopment Analysis (DEA) approach is one of these approaches, which h More

In today's competitive world, many manufacturing and service firms, including banks, have been forced to use new managerial approaches, and methods for assessing organizational performance. The Data Envelopment Analysis (DEA) approach is one of these approaches, which has been used to evaluate the performance of organizations since 1978. The purpose of this research is to use the technology super-efficiency in measuring the efficiency of bank branches (Case Study: Melli Bank of Gilan Province). In this research, the input-vector model of data envelopment analysis, in the form of constant return-to-equilibrium, and Anderson-Pearson (AP) superclass, have been used to measure the efficiency of branches 1, 2 and 3 degrees in the Melli Bank of Gilan Province, in 2015. In summary, the results showed that the average of the efficiency score of the surveyed branches in 2015 is 0.75. The grade of a branch of Golsar, Rasht, was introduced as the most efficient case, and Kish Shahr Bandar was introduced as the most inefficient branch, due to a score of 0.8, lower than the average of the total number of branches. The results showed that the most important factor in the weakness of cost management in inefficient branches is the cost of advertising and marketing, and the most weakness in the planning of the field of staff training of the inefficient branches. Manuscript profile

Open Access Article

15 - Performance Evaluation of Supply Chain under Decentralized Organization Mechanism
علیرضا علی نژاد

Abstract Nowadays among many evaluation methods, data envelopment analysis has widely used to evaluate the relative performance of a set of Decision Making Units (DMUs). Data Envelopment Analysis (DEA(is a mathematical tool for evaluating the relative efficiency of a se More

Abstract Nowadays among many evaluation methods, data envelopment analysis has widely used to evaluate the relative performance of a set of Decision Making Units (DMUs). Data Envelopment Analysis (DEA(is a mathematical tool for evaluating the relative efficiency of a set Decision Making Units (DMUs), with multiple inputs and outputs. Traditional DEA models treat with each DMU as a “black box" thus, the performance measurement may be not effective. So, there are necessities for network DEA models. The objective of this paper is to propose a new network DEA model for measuring the efficiency of two- supplier and one manufacturer chains under the decentralized organization mechanism. In this mechanism, each section of supply chain is controlled under unique decision maker with his/her own interest. We proposed that, in comparison with CCR model, for the supply chain under decentralized organization mechanism, it is not appropriate to ignore the internal structure and treat as a “black box”, while there is more than one decision maker with different interests. Furthermore, the relation between the supply chain efficiency and division efficiency is investigated. Numerical example demonstrates the application of the proposed model. Manuscript profile

Open Access Article

16 - An input-oriented radial measure for returns to scale aggregation.
رضا کاظمی متین رزا عزیز مهدی میرجابری

In production theory, it is necessary to be capable of predicting the production func- tion’s long-run behaviors. Hereof, returns to scale is a helpful concept. Returns to scale describes the reaction of a production function to the proportionally scaling all its More

In production theory, it is necessary to be capable of predicting the production func- tion’s long-run behaviors. Hereof, returns to scale is a helpful concept. Returns to scale describes the reaction of a production function to the proportionally scaling all its input variables. In this regard, Data envelopment analysis (DEA) provides a com- prehensive framework for returns to scale evaluation. A sequence of attempts has been made on the subject of returns to scale in DEA literature which cause DEA to be ex- panded to widespread applications. Centralization of carried out studies in firm level, on one hand, and the importance of economical inter-operation in performance analysis in industry level, on the other hand, were the main motivation to start a new range of studies around identifying the return to scale in industry level. This paper collaborates interesting relations between firms and industry technology with performance analysis techniques to extract a relation between returns to scale status of firms and system-wide unit based on the reference set method. Manuscript profile

Open Access Article

17 - Continuous Energy Values of 3-Amino-4-Nitraminofurazan Molecule by Modern Optimization Techniques
Ahmet Sahiner Fatih Ucun Sumeyya Koman

The conformational energy values of 3-amino-4-nitraminofurazan (C2N4O3H2) molecule changing with two torsion angles were firstly calculated using density functional theory (DFT) with Lee-Young-Parr correlation functional and 6-31 G(d) basis set on Gaussian Program. And More

The conformational energy values of 3-amino-4-nitraminofurazan (C2N4O3H2) molecule changing with two torsion angles were firstly calculated using density functional theory (DFT) with Lee-Young-Parr correlation functional and 6-31 G(d) basis set on Gaussian Program. And then, these obtained discrete data were made continuous by using Fuzzy Logic Modelling (FLM) and Artificial Neural Network (ANN). This allowed us to make predictions about the untested data and, to obtain the optimized energy value depending on two torsion angles with reasonable computational cost, great efficiency and high accuracy. The obtained results were compared with the DFT results by using regression analysis. Manuscript profile

Open Access Article

18 - Eco-Efficiency Evaluation in Two-Stage Network Structure: Case Study: Cement Companies
Mirpouya Mirmozaffari

20.1001.1.25885723.2019.11.2.6.7

The cement industry, as a primary trade, plays an important role in the development of a country's organization. This industry in Iran, however, despite of profuse benefits such as high-value mines, faces many challenges. Problems such as exploitation of the production More

The cement industry, as a primary trade, plays an important role in the development of a country's organization. This industry in Iran, however, despite of profuse benefits such as high-value mines, faces many challenges. Problems such as exploitation of the production require the need for doing research into this area. The main purpose of this paper is to examine the Eco-efficiency in Iran's 22 local cement companies over 2012-2016. This paper develops a Charnes, Cooper & Rhodes input oriented (CCRIO) Data Envelopment Analysis (DEA) approach for measuring the efficiency of decision processes which can be separated into two stages. The first stage uses its specific inputs to produce outputs, which part of them are consequently considered as the inputs of the second stage. The first stage is considered as the production stage and the second stage as the pollution control stage. A novel converting two-stage to one stage model is proposed to obtain the Eco-efficiency. Consequently, Malmquist productivity index (MPI) is computed to assess productivity. Although DEA is a respected method for evaluating, it fails to extract unknown information. In this study data mining decision tree and Apriori algorithms are used to extract hidden rules, and to remove unrelated data. Manuscript profile

Open Access Article

19 - Inputs and Outputs Estimation in Inverse DEA
سعید قبادی

The present study addresses the following question: if among a group of decision making units, the decision maker is required to increase inputs and outputs to a particular unit in which the DMU, with respect to other DMUs, maintains or improves its current efficiencyle More

The present study addresses the following question: if among a group of decision making units, the decision maker is required to increase inputs and outputs to a particular unit in which the DMU, with respect to other DMUs, maintains or improves its current efficiencylevel, how much should the inputs and outputs of the DMU increase? This question is considered as a problem of inverse data envelopment analysis, and a method is introduced toanswer this question. Using (weak) pareto solutions of multiple-objective linear programming, necessary and sufficient conditions for inputs and outputs estimation are established.An application of inverse DEA using real data (for choosing a suitable strategy for spreading educational departments in a university) is presented. In addition, two new optimal notions are introduced for multiple-objective programming problems: semi-pareto and semi-weak pareto optimal notions. The aforementioned solutions are used to answer the above question. Manuscript profile

Open Access Article

20 - A Hybrid model based on neural network and Data Envelopment Analysis model for Evaluation of unit Performance
صادق حیدری احسان زنبوری حمید پروین

Efficiency and evaluation is one of the main and most important demands of organizations, companies and institutions. As these organizations deal with a large amount of data, therefore, it is necessary to evaluate them on the basis of scientific methods to improve their More

Efficiency and evaluation is one of the main and most important demands of organizations, companies and institutions. As these organizations deal with a large amount of data, therefore, it is necessary to evaluate them on the basis of scientific methods to improve their efficiency. Data envelopment analysis is a suitable method for measuring the efficiency and performance of organizations. This paper has been conducted to evaluate the performance and efficiency of decision making units. First, using the data envelopment analysis, the BCC output oriented model, these units are ranked and the shortcoming of the model in terms of efficacy measurement and separation are determined. Then, to overcome such problems, a combined method of data envelopment analysis; the BCC output oriented model and artificial neural network are used to evaluate the efficiency of these units and finally the results of the two models are compared.Given the efficiency obtained with the BCC output oriented method, it was observed that the amount of efficiency for some units which leads for these units not to be ranked but using the proposed NEURO-DEA method, no two units have the same efficiency and given the obtained efficiency, these units can be evaluated and ranked. Manuscript profile

Open Access Article

21 - Reallocation of the Organization Forces by the Super Effective Model Despite the Limitations on Number and the Way of Transferring the Forces of Some Units
مریم خطیبی بیژن رحمانی پرچیکلایی

In this paper, the efficiency of the performance of some independent units of police organization was evaluated to optimize the total used inputs and the total produced outputs of each unit. For this purpose, with regard to the efficiency and inefficiency of each unit, More

In this paper, the efficiency of the performance of some independent units of police organization was evaluated to optimize the total used inputs and the total produced outputs of each unit. For this purpose, with regard to the efficiency and inefficiency of each unit, based on the location of the units to one another, and also due to the limitations on number and the way of transferring the forces of some units, and using the super effective model, a model was presented to reallocate the inputs of the organization units in order to increase and improve the efficiency of inefficient units and to emphasize maintaining the efficiency of efficient units. Manuscript profile

Open Access Article

22 - Supplier selection in the sustainable supply chain: The application of analytic hierarchy process and fuzzy data envelopment analysis
حمیدرضا رضایی محمد طالقانی محسن شفیعیان تارا نیک اندام

20.1001.1.25885723.2019.11.1.5.4

The development and management of an effective and efficient supply chain involve the selection of the suppliers. Only economic criteria, including cost and delivery, once used to be considered in the process of supplier selection. But, they do not suffice for the evalu More

The development and management of an effective and efficient supply chain involve the selection of the suppliers. Only economic criteria, including cost and delivery, once used to be considered in the process of supplier selection. But, they do not suffice for the evaluation of suppliers anymore due to the rapidly changing environment, and different perspectives are needed to be considered. The present paper aims to present a hybrid method based on fuzzy data envelopment analysis for sustainable supplier selection. At first, the criteria for sustainable supplier selection are derived from the relevant literature. Then, the hierarchy of the criteria and their preferential interrelations are specified by analytic hierarchy process. Eventually, the performance of the suppliers is evaluated using fuzzy data envelopment analysis. The presented DEA model has been inspired by the concept of ideal and anti-ideal decision-making units (DMUs) in the evaluation of cross-efficiency. According to this concept, a DMU is efficient if it is close to the ideal DMU’s performance and far from the anti-ideal DMU’s performance. Manuscript profile

Open Access Article

23 - Ranking World Cup 2014 Football Matches by Data Envelopment Analysis Models with Common Weights
سید محمد عرب زاد نگین برجیس هادی شیرویه زاد

Football is one of the most popular and exciting sports fields throughout the world. Today, in addition to the result, the number of goals and points, attraction and quality of the played matches are important for club management staff, coaching staff, the players and e More

Football is one of the most popular and exciting sports fields throughout the world. Today, in addition to the result, the number of goals and points, attraction and quality of the played matches are important for club management staff, coaching staff, the players and especially the fans. Beside number of goals, there are different criteria such as successful passes, attacks, defenses, tackles and etc. can determine the quality of matches. Therefore, in this survey, researchers consider the quality of World Cup 2014 football matches. For this purpose, after the review on research literature, the quality criteria of football matches are determined. Afterward, related data of each criterion are extracted. Then, the DEA common weight analysis (DEA-CWA) is used in order to evaluate and rank the quality of competitions. Results show that the match between the national teams of Argentina and Nigeria was elected as the highest-quality match in Brazil's 2014 World Cup first round. Manuscript profile

Open Access Article

24 - A Recurrent Neural Network Model for solving CCR Model in Data Envelopment Analysis
معصومه عباسی عباس قماشی

20.1001.1.25885723.2019.11.1.1.0

In this paper, we present a recurrent neural network model for solving CCR Model in Data Envelopment Analysis (DEA). The proposed neural network model is derived from an unconstrained minimization problem. In the theoretical aspect, it is shown that the proposed neural More

In this paper, we present a recurrent neural network model for solving CCR Model in Data Envelopment Analysis (DEA). The proposed neural network model is derived from an unconstrained minimization problem. In the theoretical aspect, it is shown that the proposed neural network is stable in the sense of Lyapunov and globally convergent to the optimal solution of CCR model. The proposed model has a single-layer structure. A numerical example shows that the proposed model is effective to solve CCR model in DEA. Manuscript profile

Open Access Article

25 - Merging DMUs Based on of the idea Inverse DEA
الهه زین الدین سعید قبادی

20.1001.1.25885723.2019.11.2.1.2

In this paper, we propose a novel method using multiple-objective programming problems to answer the following question: if among a group of decision making units (DMUs), a subset of DMUs are required to merge and form a new DMU with specific input/output levels and a p More

In this paper, we propose a novel method using multiple-objective programming problems to answer the following question: if among a group of decision making units (DMUs), a subset of DMUs are required to merge and form a new DMU with specific input/output levels and a predefined efficiency target, how much should be the outputs/inputs of the merged DMU? This question answered according to the concept of inverse DEA. Sufficient conditions are established for input/output-estimation of the merged DMU using multiple-objective programming problems. A numerical example with real data is presented to illustrate the goals of this paper. Manuscript profile

Open Access Article

26 - An Analysis of the COVID-19 Contagion Growth in European Countries
هادی شیرویه زاد جاوید جوزدانی مزدک خدادادی کریموند

20.1001.1.25885723.2020.12.1.2.8

The COVID-19 pandemic has affected many people around the globe. Europe, as one of the most seriously affected continents, has been struggling with the novel coronavirus for several months. Obviously, outbreak response management plays a critical role in the impact of t More

The COVID-19 pandemic has affected many people around the globe. Europe, as one of the most seriously affected continents, has been struggling with the novel coronavirus for several months. Obviously, outbreak response management plays a critical role in the impact of the disease. Therefore, in this paper, Malmquist Productivity Index is used to evaluate the performance of the most severely affected European countries based on the average contagion rate. The results rank the countries and provides insight for the future. Manuscript profile

Open Access Article

27 - A Review of Metaheuristic Algorithms and Data Envelopment Analysis
Mohsen Vaez-ghasemi Zohreh Moghaddas Hamid Askari Feloora Valizadeh

20.1001.1.25885723.2020.12.1.12.8

Today, many activities from businesses to engineering design, routing on the Internet, and even routing of foodstuff trucks require programming and optimization. Many of these problems have no determinate solution and cannot be solved easily. To solve these problems, al More

Today, many activities from businesses to engineering design, routing on the Internet, and even routing of foodstuff trucks require programming and optimization. Many of these problems have no determinate solution and cannot be solved easily. To solve these problems, algorithms have been developed inspired by nature based on particle intelligence, biological, physical, and chemical systems, and even human communities and have been named after their inspiration source. A metaheuristic optimization algorithm is an innovative way that can be applied to various optimization problems by slight modifications. These algorithms can improve the capability of finding high-quality answers for difficult optimization problems significantly. The present paper reviews the application of various metaheuristic algorithms and data envelopment analysis (DEA) to optimization problems in the literature published in recent years. Descriptions are provided about the application of metaheuristic algorithms in DEA along with their applications, the field of activity, overlaps, and the integration of these two robust methods to find the optimal answer. Manuscript profile

Open Access Article

28 - Efficiency score assessment of Iranian Mining, Wood and Textile Industries
Malek Hassanpour

20.1001.1.25885723.2019.11.2.15.6

The Iranian Environment Protection Agency (IEPA) in collaboration with Iranian Industries Organization (IIO) need to design a relevant database for the industries information based on the initial screening of Iranian Evaluator Team (IET) in certain clusters. However, we More

The Iranian Environment Protection Agency (IEPA) in collaboration with Iranian Industries Organization (IIO) need to design a relevant database for the industries information based on the initial screening of Iranian Evaluator Team (IET) in certain clusters. However, we aware of this fact that all industrial projects should go through the Environmental Impact Assessment (EIA) after and along with screening levels. Therefore, current research concise the three clusters of Iranian industries data to further assessment towards Data Envelopment Analysis (DEA) empirically. To calculate the efficiency score were employed the Additive Ratio ASsessment (ARAS) model in combination with the DEA model along with using Friedman and Kendall tests as weighing systems. Using SPSS software led to estimate the values of weight regarding the inputs and outputs of materials flow. The combination of both mentioned models has expanded the path for determination of DEA score for the Iranian Wood and Cellulose Industries (IWCI), Iranian Mining and Aggregate Industries (IMAI) and Iranian Textile and Leather Industries (ITLI). Manuscript profile

Open Access Article

29 - Financial efficiency evaluation in a network with feedbacks
Zohreh Moghaddas

20.1001.1.25885723.2019.11.2.5.6

Financial efficiency evaluations in a network system, considering intermediate products, nowadays consideres great importance for managers. In the process of doing business analysis, each stage of in a network is of particular importance. In this paper, with the help of More

Financial efficiency evaluations in a network system, considering intermediate products, nowadays consideres great importance for managers. In the process of doing business analysis, each stage of in a network is of particular importance. In this paper, with the help of Data Envelopment Analysis (DEA), the performance of a network with feedbacks are considerd. In this assessment, financial efficiency is being assessed for a network with with inputs, outputs, intermediate products. As an example, the application of data from petrochemical companies is considered and implemented to a supply chain for evaluation and analysis the efficiencies. Manuscript profile

Open Access Article

30 - How to Target Balanced Scorecard Indicators in a DEA-BSC Integrated Model
محمد فلاح اسماعیل نجفی

20.1001.1.25885723.2020.12.1.1.7

Performance measurement is always one of the most important tasks of managers, so knowledge management is measurement knowledge, and if we can measure something, we can no doubt control it, and therefore we cannot manage it. In this paper, according to the Malmquist pro More

Performance measurement is always one of the most important tasks of managers, so knowledge management is measurement knowledge, and if we can measure something, we can no doubt control it, and therefore we cannot manage it. In this paper, according to the Malmquist productivity index, an index is used to determine the progress and regress of a unit. This index is defined by the boundary changes resulting from the inputs of the units and their efficiency changes, which we call the Malmquist Productivity Index. After calculating the Malmquist changes, we were able to determine the rate of increase or decrease in the indicators for the following period. Manuscript profile

Open Access Article

31 - Trust optimization in the single web services using a neuro‌-fuzzy system
بهارک شاکری اسکی Abolfazl Toroghi Haghighat Mehran Mohsenzadeh

20.1001.1.25885723.2020.12.2.5.3

Due to improvement of Internet, employing web services is developed. By utilizing web services, distributed applications can exchange information. Trust is a main criterion to choose the proper web service as web services selection is a main issue which is still absorbi More

Due to improvement of Internet, employing web services is developed. By utilizing web services, distributed applications can exchange information. Trust is a main criterion to choose the proper web service as web services selection is a main issue which is still absorbing researchers to conduct research works on this field and analyze it. Due to the significant of this problem, neuro-fuzzy system is used to optimize the trust of single web services. Eight factors such as QoS, user preferences, subjective perspectives, objective perspectives, credibility of raters, bootstrapping, dynamic computing of trust and independency are considered in the considered neuro-fuzzy system. To achieve a trust optimization, 8 membership function various neuro-fuzzy systems are considered in this paper. Ultimately, the obtained results illustrates that the root mean square error, the precision amount, the recall amount and the F score amount of the neuro-fuzzy system is: 0.0873 %, 0.986, 0.988 and 0.987. Manuscript profile

Open Access Article

32 - Efficiency Evaluation of Railway Freight Stations by Using DEA Approach
Davoud Haghighi رضا بابازاده

20.1001.1.25885723.2020.12.2.4.2

Railway freight stations roles as points in which traffic processes can be merged and diverged are of paramount importance. Numerous activities such as train formation, alighting and interchanging, technical checks are also done at these points. Due to the great importa More

Railway freight stations roles as points in which traffic processes can be merged and diverged are of paramount importance. Numerous activities such as train formation, alighting and interchanging, technical checks are also done at these points. Due to the great importance of using railway infrastructures and rolling stocks facilities efficiently, the efficiency studies in this area are considered as a demanding task more than ever. Therefore, we implement a methodology based on data envelopment analysis to address this issue. The suggested methodology in this research can be used for measuring the efficiency of railway freight stations and ranking them by using DEA and Anderson & Peterson methods. This methodology can be used for analyzing the relative ‘technical efficiency’ of railway freight stations to manage train stops regarding the current station capacity. We applied this model in a case study of the 12 busiest train stations in Isfahan railway to measure and rank their efficiency and assess the effect of traffic type on the results by using robust regression. Manuscript profile

Open Access Article

33 - Earthwork Volume Optimization Using Imperialistic Competitive Algorithm to Minimize Energy Consumption of Agricultural Land Leveling
Isham Alzoubi

20.1001.1.25885723.2020.12.2.7.5

Land leveling is one of the most important steps in soil preparation for consequent objectives. Parallel policies need to take both energy and environmental subjects into the account as well as certain financial development and eco-friendly protection. Energy is one of More

Land leveling is one of the most important steps in soil preparation for consequent objectives. Parallel policies need to take both energy and environmental subjects into the account as well as certain financial development and eco-friendly protection. Energy is one of the most important elements in agricultural sector. Nevertheless, pollution is linked with the usage of fossil fuels (particularly gasoline) as an energy source. Earthwork optimization plays an important role in reducing the total cost of highway projects. In this research, ICA has been followed to optimize earthwork volume for minimizing energy consumption of agricultural land leveling compared to minimum least squares, genetic algorithm, particle swarm optimization (PSO) have been employed for developing of optimization the energy related and other parameters. The study was specified based on the proposed land leveling project in district of Ahwaz, Iran. The study farm was a 70 ha area and located in the west of Iran. Topography of the farm was mapped in the scale of mapping as fine as 1:500. The outputs of the plan were length, width and height of points (coordinates of x, y and z) and the grid size in the region was 20 m×20 m. The aim of this work was use of new techniques and specifically optimization methods such as Imperialist competitive algorithm, genetic algorithms and PSO in modeling the leveling plane to minimize cut and fill volume and consequently the amount of energy consumption of leveling operations. It has been assumed that soil cut and fill volumes are equal and no need to move/ remove excessive soil. Therefore, there is no need to define a cut/fill variable in the model based on ICA. The results indicated that ICA offers a plan of earthwork, minimizing energy consumption of land leveling more efficiently than minimum least squares, genetic algorithm and PSO. Manuscript profile

Open Access Article

34 - Application of DEA to measure the efficiency of Open Source software projects
Ehsan Zanboori فاطمه رستمی سعید قبادی

20.1001.1.25885723.2021.13.1.5.8

This paper evaluates the relative performance of open source software projects by evaluating multiple project inputs and multiple project outputs by using data envelopment analysis (DEA) model. The DEA model produces an efficiency score for each project based on project More

This paper evaluates the relative performance of open source software projects by evaluating multiple project inputs and multiple project outputs by using data envelopment analysis (DEA) model. The DEA model produces an efficiency score for each project based on project inputs and outputs. One of the important issues in data envelopment analysis is ranking DMUs. In this paper, open source software projects (OSS) are considered as decision making units which consume inputs to generate outputs. In this article, three standard Data Envelopment Analysis (DEA) models are used to evaluate the open source software projects. Also, super-efficiency model are used for ranking. Due to the inability of the models to rank projects, the AP-super efficiency model (the most important and popular method for ranking units) has been used for ranking OSS projects.The result of this research is a practical model that can be used by OSS project developers in order to evaluate the relative performance of their projects and make decision for their sources. Also, OSS projects can now be adequately ranked and evaluated according to project performance. Manuscript profile

Open Access Article

35 - Implementing Fuzzy DEA into the PEM Model for Performance Evaluation of Project-based Organizations: A case study
اویس ترابی محمّدمیلاد احمدی روح‌الله تولایی

20.1001.1.25885723.2021.13.4.5.4

Project-based organizations in upstream industries hold a large share of national resources and play an important role in the development of a country. Performance evaluation of project-based organizations can help managers to use inputs effectively and smooth their way More

Project-based organizations in upstream industries hold a large share of national resources and play an important role in the development of a country. Performance evaluation of project-based organizations can help managers to use inputs effectively and smooth their way to achieving goals. There are many qualitative and quantitative indices to performance evaluation of project-based organizations. Efficiency calculation through Data Envelopment Analysis (DEA) is a common index for performance assessment in such firms. In the traditional DEA model crisp data is needed while, in the real world, most of the data are imprecise and uncertain. A major cause of uncertainty related to the non-quantifiable, incomplete, and unachievable information that caused fuzzy logic and fuzzy sets merge in different models like DEA. The main idea of the present study is to combine quantitative and qualitative approaches in performance appraisal to take advantage of both and achieve more accurate results; therefore, in this paper, a hybrid model based on Fuzzy Data Envelopment Analysis (FDEA) and Project Excellence Model (PEM) is proposed for performance evaluation in project-based organizations. First, performance assessment by the PEM model of Fuzzy data is accomplished. Then, implementing Fuzzy DEA into the PEM model is performed in which the inputs and outputs of the FDEA model are the PEM model criteria. The proposed hybrid model is used to evaluate 30 petrochemical companies in Iran. The comparison of the results of both models indicates a correlation coefficient of almost 0.90 at the significance level of 0.01 that shows an appropriate correlation between the two models. Manuscript profile

Open Access Article

36 - An Entropy Based Shapley Value for Ranking in Data Envelopment Analysis
رضا فلاح نژاد ساناز اسدی رحمتی کیوان مرادی پور

In traditional DEA, DMUs are divided into Efficient and inefficient, but the score of all efficient units are equal to one and there is no discrimination between them. Thus many ranking methods are proposed to increase discrimination power. This paper proposes an integr More

In traditional DEA, DMUs are divided into Efficient and inefficient, but the score of all efficient units are equal to one and there is no discrimination between them. Thus many ranking methods are proposed to increase discrimination power. This paper proposes an integrated framework of cooperative games and entropy to rank efficient units by considering efficient units as players in a cooperative game, A subset of these players is defined as the coalition of S. The sum of the efficiency of inefficient DMUs with respect to the frontier of production possibility set contain inefficient DMUs and the member of coalition S is defined as the characteristic function of the coalition S, which is used to determine the marginal effect of efficient DMUs. Then, a new Shapley Value resulted from aggregating the marginal effects of efficient DMUs weighted by Shannon entropy is used for ranking efficient DMUs. For the first time, we use the entropy to create a Shapley value for calculating the rank of efficient units.. Two examples are provided to illustrate the applicability of proposed model. Manuscript profile

Open Access Article

37 - Centralized resource allocation with the possibility of downsizing to evaluate two-stage production system with shared inputs
Amir Yadollahi رضا کاظمی متین Farhad Hosseinzadeh Lotfi

20.1001.1.25885723.2021.13.2.1.6

This paper proposes a centralized network data envelopment analysis model that combines the centralized data envelopment analysis model with possibility of downsizing and two-stage network data envelopment analysis. In the proposed model, this paper also considers the s More

This paper proposes a centralized network data envelopment analysis model that combines the centralized data envelopment analysis model with possibility of downsizing and two-stage network data envelopment analysis. In the proposed model, this paper also considers the situation in which shared inputs are jointly consumed in each stage. We also assume some outputs can be produced by the first and second stages by using separate inputs. The proposed model is illustrated in an empirical example of twenty sale representatives in two provinces of Golestan and Mazandaran. The results provide valuable information for the centralized decision-maker on how to reallocate resources among the units. Manuscript profile

Open Access Article

38 - Factors affecting deviations of efficiency in distance-based Common Set of Weight -DEA models
سعید شاه قبادی

20.1001.1.25885723.2021.13.1.4.7

There are different approaches to generate a common set of weights in DEA based on the p - distance measure. Deviation of an efficiency score derived from a CSW from target efficiency score may be related to the model and the parameter p. In this study, we try to clarif More

There are different approaches to generate a common set of weights in DEA based on the p - distance measure. Deviation of an efficiency score derived from a CSW from target efficiency score may be related to the model and the parameter p. In this study, we try to clarify points about choosing p, model, and data set if it is necessary to produce an efficiency score with the least deviation by a CSW. Two improved linear models are developed by analyzing the result of available models. The results of the proposed models have smaller individual and overall efficiency than corresponding prior ones that It has been confirmed with numerical examples and simulation analysis. Manuscript profile

Open Access Article

39 - DEA models with out explicit inputs or outputs: radial and nonradial approaches
Zohreh Moghaddas

Many applications and studies are concerns about studying DEA mod-els without explicit inputs or outputs for performance evaluation ofDecision Making Units (DMUs). On basis of what provided in DEAliterature in this paper it has been veried that in the mentioned ap-proa More

Many applications and studies are concerns about studying DEA mod-els without explicit inputs or outputs for performance evaluation ofDecision Making Units (DMUs). On basis of what provided in DEAliterature in this paper it has been veried that in the mentioned ap-proach convexity assumption has not been properly dealt with. Thus,a modied approach has been presented and for clarity, an applicationof the DEA models without inputs and outputs are presented. Manuscript profile

Open Access Article

40 - A Bounded Additive Model for Efficiency Evaluation in Two-Stage Production Systems With Negative Data
حمیدرضا بابائی اصیل رضا کاظمی متین محسن خون سیاوش زهره مقدس

Data Envelopment Analysis (DEA) is a method for assessing the efficiency of Decision Making Units (DMUs). Traditional DEA models do not examine the potential differences between two stages caused by intermediate operations. As a result, DEA has been extended to evaluate More

Data Envelopment Analysis (DEA) is a method for assessing the efficiency of Decision Making Units (DMUs). Traditional DEA models do not examine the potential differences between two stages caused by intermediate operations. As a result, DEA has been extended to evaluate the efficiency of two-stage processes. In these processes, all outputs of the first stage are intermediate operations that comprise the inputs of the second stage. The input data in real-world applications may have negative values. In this study, considering the importance of network production processes, we deal with the efficiency evaluation of two-stage production units with negative data. Also, we extend CRS (constant returns to scale) bounded additive model for the efficiency evaluation of the two-stage units in the presence of negative data. For illustration, we evaluate the efficiency and ranking of 36 airlines by applying the new model. Manuscript profile

Open Access Article

41 - Evaluation of Countries Environmental Efficiency Using Data Envelopment Analysis
مینا مشفق محسن رستمی مال خلیفه

20.1001.1.25885723.2021.13.4.3.2

Over the last few decades, there has been a dramatic increase in public attention to environmental issues. As a consequence of the growing concerns about environmental quality, climate change, and pollutant emission, which are key elements of sustainable development, on More

Over the last few decades, there has been a dramatic increase in public attention to environmental issues. As a consequence of the growing concerns about environmental quality, climate change, and pollutant emission, which are key elements of sustainable development, one of the main challenges is measuring environmental efficiency. The main purpose of this study is to evaluate the ecological efficiency of countries and rank countries based on data envelopment analysis (DEA) method, considering the favorable and unfavorable outputs (7 inputs and 7 outputs) affecting climate change in 2020 in 176 countries. The units were evaluated by CCR model and Also AP model in order to ranking both efficient units and inefficient units. The results show that the environmental efficiency of the selected countries is 80.60% on average, of which Iran ranks 140th with an efficiency of 0.58 and Iceland, Singapore and Lesotho have the highest environmental efficiency, respectively, as well as Sierra Leon, the Philippines, and Pakistan have the lowest environmental performance, respectively. Manuscript profile

Open Access Article

42 - Analysis of evaluation model of organizational units' performance with Sink-Tuttle approach using data envelopment analysis
نازیلا ادب آوازه احمد عدالت پناه مهرزاد نوابخش

20.1001.1.25885723.2021.13.4.2.1

The existence of a performance evaluation system is inevitable due to the dramatic changes in the business environment. The comprehensive performance evaluation attempts to identify institutional units' potential strength and role in influencing the organizations' perfo More

The existence of a performance evaluation system is inevitable due to the dramatic changes in the business environment. The comprehensive performance evaluation attempts to identify institutional units' potential strength and role in influencing the organizations' performance. This study aims to analyze the performance evaluation according to seven dimensions of the Sink and Tuttle model using data envelopment analysis. The result of the seven dimensions of the Sync-Tuttle model is the creation of a comprehensive performance evaluation system in organizations, which leads to the improvement of organizational performance. The proposed model covers all essential performance indicators and takes steps with more generalizability and more realistic evaluation than other performance evaluation systems.In this research, the performance of eight organizational units of the NIPA Company has been evaluated. A total of seven variables of the Sink-Tuttle model are input, and the performance level of organizational units is the output of the proposed model. Coordination between strategies, organizational learning, and knowledge management is recommended to improve organizational performance. The overlap of the evaluation results in the sink and Tuttle model and the data envelopment analysis indicates the validity of the proposed model.Action in the inefficient units can be taken by implementing training, changing key people, developing a participatory system, establishing a performance evaluation system with appropriate criteria, and developing management based on purpose. The results of the proposed performance evaluation model can be used as the main part of formulating and implementing organizations' policies. Manuscript profile

Open Access Article

43 - Eco-Efficiency in two-stage structure;A DDF Approach
منیره ذریه حبیب مهناز مقبولی

The importance of environment protection always raises a considerable among the researchers especially when pollutant and undesirable outputs are present. The non-parametric Data Envelopment Analysis (DEA) literature on network-structured performance analysis normally f More

The importance of environment protection always raises a considerable among the researchers especially when pollutant and undesirable outputs are present. The non-parametric Data Envelopment Analysis (DEA) literature on network-structured performance analysis normally fail to express the undesirable intermediate production in the process. From the production efficiency point of view, symmetrically handling both of the desirable and the undesirable outputs in the assessment process in the two stage network structure is developed in this paper. The motivation of this study is the application of the directional distance function (DDF) to modeling the two-stage network structure with the undesirable intermediate measures upon employing Stackelberg theory. A real case on the thirteen poultry units in Iran has been illustrated to verify the applicability of the proposed approach. Manuscript profile

Open Access Article

44 - Non-dominated DEA cross efficiency scores; a secondary goal approach
سعید شاه قبادی عباس قماشی فرهاد مرادی

Data envelopment analysis (DEA) is a non-parametric programming method for evaluating the relative efficiency of a set of peer decision-making units (DMUs) with multiple inputs and multiple outputs. The DEA cross-efficiency method is a well-known method that use to eval More

Data envelopment analysis (DEA) is a non-parametric programming method for evaluating the relative efficiency of a set of peer decision-making units (DMUs) with multiple inputs and multiple outputs. The DEA cross-efficiency method is a well-known method that use to evaluate and ranking a set of peer decision-making units. Whenever a DMU intends to evaluate other DMUs, it faces the problem of non-uniqueness optimal weights of DEA models. Because different weights give us different cross-scores and subsequently different cross-efficiencies scores and this will confuse the decision-maker to make an ultimate decision. The main drawback of this method is the alternate optimal solution set of the DEA model. The main purpose of this study is to propose an approach to this problem to generate non-dominated DEA cross-efficiency scores. We propose a linear programming secondary goal model to select a set of optimal weights for each DMU. Our proposed method is not only simpler than other methods presented with the same purpose, but also does not go beyond the main method. Manuscript profile

Open Access Article

45 - Evaluation of the Performance in Dynamic Network Data Envelopment Analysis with Undesirable Outputs
محمد نجاری الموتی رضا کاظمی متین محسن خون سیاوش زهره مقدس

20.1001.1.25885723.2021.13.3.2.9

Data Envelopment Analysis (DEA) is a mathematical technique to assess the performance of Decision Making Units (DMUs) with similar inputs and outputs. The traditional DEA models disregard the internal structure of units and have a “black box” view. Thus, to More

Data Envelopment Analysis (DEA) is a mathematical technique to assess the performance of Decision Making Units (DMUs) with similar inputs and outputs. The traditional DEA models disregard the internal structure of units and have a “black box” view. Thus, to evaluate the structures with more than one stage, the network DEA (NDEA) models expanded. On the other hand, the dynamic optimization models have been presented to eliminate the limitations of static models in optimization. In the article, for the first time, a systematic approach is used to present a dynamic NDEA with constant inputs and undesirable outputs. First, we used an axiomatic approach in DEA with undesirable output and presented an NDEA model with undesirable output. Then, we extended the proposed approach and presented a dynamic NDEA with undesirable output and a constant input. Afterward, we applied this model to evaluate hospitals’ performance in an experimental study to estimate the efficiency of their dynamic network. Manuscript profile

Open Access Article

46 - Analysis and evaluation of the legislation performance of different periods of the Islamic Parliament based on Data Envelopment Analysis
Alireza Amirteimoori K. Shahroudi Mehrdad Goodarzvand Chegini Ahmad Ghanbarian Boroojeni

Legislation constitutes one of the most critical responsibilities of the Islamic Parliament. Given its pivotal role in addressing the country's political, economic, and social issues, evaluating this institution and identifying factors that influence its performance tak More

Legislation constitutes one of the most critical responsibilities of the Islamic Parliament. Given its pivotal role in addressing the country's political, economic, and social issues, evaluating this institution and identifying factors that influence its performance takes on particular significance. This necessitates the development of a suitable model for assessing its performance. Therefore, the primary aim of this research is to provide an efficiency measurement model for evaluating the legislative performance of the Islamic Parliament. To achieve this goal, considering that the Islamic Parliament primarily operates as a service-oriented institution where the consumption of inputs is not of utmost importance, we have utilized the technique of Data Envelopment Analysis (DEA) without explicit input data. Additionally, in consideration of the existence of undesirable outputs, we have applied the assumption of managerial disposability. Based on these considerations, we have determined and compared the legislative performance of the Islamic Parliament over eight periods (from the third to the tenth period) using models assuming efficiency on both constant and variable scales. Manuscript profile

Open Access Article

47 - The Investment Policy for the Sustainability of the Electricity Supply Chain: A Case in the Power Industry
مژگان پورعلیزاده

Abstract: The waste of available resources and the harmful effects of toxic emissions play a fundamental role in the sustainability assessment of energy, production, transmission, and distribution sectors in the power industry. Investing in appropriate capacity allocati More

Abstract: The waste of available resources and the harmful effects of toxic emissions play a fundamental role in the sustainability assessment of energy, production, transmission, and distribution sectors in the power industry. Investing in appropriate capacity allocation and accurate resource control can significantly reduce the negative effects of pollutant gas emissions and wasted energy in the electricity supply chain. The current paper introduces a DEA-based model for sustainability evaluation of the electricity supply chain through harmful substances management and greenhouse gas (GHG) control in the energy, power plant, transmission, and distribution sectors. The study aims to determine the limited and effective investment regions of supply chain divisions for pollutant gas abatement. Indeed, the proposed approach distinguishes between effective and limited investment opportunities for 10 supply chain divisions, as the investment increases in the divisions with a high level of investment opportunities provide a significant decrease in flare gas and greenhouse gases (GHG) in the energy and power plant sectors and wasted energy harness in transmission and distribution lines. In 60% of supply chains, the results show that there is a distribution line network with a high level of good investment opportunities. Manuscript profile

Open Access Article

48 - Merger analysis using inverse DEA: the case of variable returns to scale
مجتبی غیاثی

In a dynamic economy, mergers and consolidations of economic and finance sectors likebanks, etc. becoming more common. One of the applications of the inverseDEA is the merger analysis of a series of production units. Data envelopment analysis (DEA) measures the efficien More

In a dynamic economy, mergers and consolidations of economic and finance sectors likebanks, etc. becoming more common. One of the applications of the inverseDEA is the merger analysis of a series of production units. Data envelopment analysis (DEA) measures the efficiency score of a decision making unit (DMU) considering its input and output level. On the other side, the inverse DEA approach aims to find required input levels for DMU to produce a presumed output level preserving the efficiency score. In a rather recent paper, (Gattoufi, Amin, & Emrouznejad, 2014) introduced an interesting application of inverse DEA models for merger analysis. The current paper extends this work by developing a generalized inverse DEA model assuming variable returns to scale. In contrast with (Gattoufi et al., 2014), it is shown that proposed models are always feasible and bounded. The idea is illustrated using a methodical argument and two numerical examples. An empirical study of financial institutes shows the strength and the applicability of the proposed methods. Manuscript profile

Open Access Article

49 - A new robust optimization approach to most efficient formulation in DEA
Reza Akhlaghi Mohsen Rostamy-Malkhalifeh Alireza Amirteimoori Sohrab Kordrostami

In this article, we investigate a new continuous linear model with constraints for the direct selection of the most efficient unit in the analysis of data coverage presented by Akhlaghi et al. (2021) on uncertainty robust optimization. Considering the importance of inco More

In this article, we investigate a new continuous linear model with constraints for the direct selection of the most efficient unit in the analysis of data coverage presented by Akhlaghi et al. (2021) on uncertainty robust optimization. Considering the importance of incorporating uncertainty into performance evaluation models in the real world and its increasing application in various problems, we propose a robust optimization approach. Given the discrete and non-convex nature of the introduced models for selecting the most efficient decision-making unit, examining the dual and finding an optimistic scenario is practically impossible. Therefore, by utilizing the linear model presented by Akhlaghi et al. (2021) with constraints for identifying the most efficient unit, we can investigate the robustness of the desired model using(BS )Bertsimas and Sim's (2004) robust estimation method while also considering uncertainty. We aim to demonstrate that employing a robust formulation leads to reliable performance in uncertain conditions Manuscript profile

Open Access Article

50 - Common weights determination in data envelopment analysis
علیرضا امیرتیموری سهراب کردرستمی

In models of data envelopment analysis (DEA), an optimal set of weights is generally assumed to represent the assessed decision making unit (DMU) in the best light in comparison to all the other DMUs, and so there is an optimal set of weights corresponding to each DMU. More

In models of data envelopment analysis (DEA), an optimal set of weights is generally assumed to represent the assessed decision making unit (DMU) in the best light in comparison to all the other DMUs, and so there is an optimal set of weights corresponding to each DMU. The present paper, proposes a three stage method to determine one common set of weights for decision making units. Then, we use these weights to rank efficient units. We demonstrate the approach by applying it to rank gas companies. Manuscript profile

Open Access Article

51 - Using lexicographic parametric programming for identifying efficient hyperpalnes in DEA
فرهاد حسین زاده لطفی ف. رضایی بالف A. تقوی

This paper investigates a procedure for identifying all efficient hyperplanes of production possibility set (PPS). This procedure is based on a method which recommended by Pekka J. Korhonen[8]. He offered using of lexicographic parametric programming method for recogniz More

This paper investigates a procedure for identifying all efficient hyperplanes of production possibility set (PPS). This procedure is based on a method which recommended by Pekka J. Korhonen[8]. He offered using of lexicographic parametric programming method for recognizing all efficient units in data envelopment analysis (DEA). In this paper we can find efficient hyperplanes, via using the parameterization of the right hand side vector of the envelopment problem of each efficient unit. Manuscript profile

Open Access Article

52 - Important Issues in Multiple Response Optimization
محمد طالقانی

There have been many productive methods developed so far for optimization of multiple response surface (MRS) problems. This paper tends to review the most seminal approaches in MRS and discuss the strength and weakness of each of the approaches through existing aspects More

There have been many productive methods developed so far for optimization of multiple response surface (MRS) problems. This paper tends to review the most seminal approaches in MRS and discuss the strength and weakness of each of the approaches through existing aspects in MRS. A numerical example is included to compare results by different methods. Finally some of the prominent areas for future research discussed by different researchers are presented. Manuscript profile

Open Access Article

53 - Chebyshev Acceleration Technique for Solving Fuzzy Linear System
س.ح ناصری H. عطاری

In this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, More

In this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, Gauss-Sidel, SOR and conjugate gradient is divergent, our proposed method is applicable and the acquired results are illustrated by some numerical examples. Manuscript profile

Open Access Article

54 - The interval Malmquist productivity index in DEA
ف. رضایی بالف ف. حسین زاده لطفی م. علیزاده افروزی

One of the most popular approaches to measuring productivity changes is basedon using Malmquist productivity indexes. In this paper we propose a method forobtaining interval Malmquist productivity index (IMPI). The classical DEAmodels have been before used for measuring More

One of the most popular approaches to measuring productivity changes is basedon using Malmquist productivity indexes. In this paper we propose a method forobtaining interval Malmquist productivity index (IMPI). The classical DEAmodels have been before used for measuring the Malmquist productivity index.The current article extends DEA models for measuring the interval Malmquistproductivity index by utilize the bounded DEA models instead of classical DEAmodels. Manuscript profile

Open Access Article

55 - Portfolio Selection using Data Envelopment Analysis with common weights
A. علینژاد M. Zohrebandian ف. دهدار

The stock evaluation process plays an important role in portfolio selectionbecause it is the prerequisite for investment and directly influences on the stockallocation. This paper presents a methodology based on Data EnvelopmentAnalysis for portfolio selection, decision More

The stock evaluation process plays an important role in portfolio selectionbecause it is the prerequisite for investment and directly influences on the stockallocation. This paper presents a methodology based on Data EnvelopmentAnalysis for portfolio selection, decision making units which can be stocks orother financial assets. First, DMUs efficiencies are computed based oninput/output common weights, and then the generation of a portfolio is carried outby a mathematical model. Finally the methodology is illustrated numerically onthe market of Iran stock exchange. Manuscript profile

Open Access Article

56 - Some Results on facets for linear inequality in 0-1 variables
D. Sashi Bhusan B. Bagaban J.P. Tripathy

The facet of Knapsack ploytope, i.e. convex hull of 0-1 points satisfying a givenlinear inequality has been presented in this current paper. Such type of facetsplays an important role in set covering set partitioning, matroidal-intersectionvertex- packing, generalized a More

The facet of Knapsack ploytope, i.e. convex hull of 0-1 points satisfying a givenlinear inequality has been presented in this current paper. Such type of facetsplays an important role in set covering set partitioning, matroidal-intersectionvertex- packing, generalized assignment and other combinatorial problems.Strong covers for facets of Knapsack ploytope has been developed in the first partof the present paper. Generating family of valid cutting planes that satisfyinequality with 0-1 variables through algorithms are the attraction of this paper. Manuscript profile

Open Access Article

57 - The cost and income efficiency models with MOLP structure
G.R. جهانشاه لو م.ر مظفری Z. سبحان

In this paper, the cost and income efficiency models have been considered withregard to the multiple objective programming structures. For finding the efficientpoints in purposed MOLP problem, some various methods like Lexicography &the weighted sum can be used. So More

In this paper, the cost and income efficiency models have been considered withregard to the multiple objective programming structures. For finding the efficientpoints in purposed MOLP problem, some various methods like Lexicography &the weighted sum can be used. So by introducing the MOLP problem the cost &income efficiencies will be achieved. In the present study, the MOLP problem isconverted to an objective function by the weighted sum of the objective function.So we determine the efficient hyperplanes gradient by finding the dual linearprogramming (LP) problem. Manuscript profile

Open Access Article

58 - Performance Evaluation of Banks Using DEA (Case study: Guilan Saderat Bank Branches)
ک. شاهرودی Sh. Assimi

Performance evaluation has been developed in the form of management schoolsalong by managerial thought development. Banks and financial institutes are oneof the most important economic sections to each country which by receipts andpayments directing and organizing facil More

Performance evaluation has been developed in the form of management schoolsalong by managerial thought development. Banks and financial institutes are oneof the most important economic sections to each country which by receipts andpayments directing and organizing facilitate business and commercialtransactions and develop markets and economic growth and as the main pillars indirecting and managing dispersed funds toward production units and regulatecash flow, have specific place in economic growth and inflation control.Therefore, it is necessary for banks to be aware about their branches efficiencyand take revision techniques into account for their future planning. In this paperBCC and CCR models (output-oriented) have been used to evaluate the efficiencyof 29 sample Saderat bank branches in Guilan Province. Manuscript profile

Open Access Article

59 - Inverse DEA Model with Fuzzy Data for Output Estimation
A. محمودی راد ر. دهقان ف. حسین زاده لطفی

In this paper, we show that inverse Data Envelopment Analysis (DEA) modelscan be used to estimate output with fuzzy data for a Decision Making Unit (DMU)when some or all inputs are increased and deficiency level of the unit remainsunchanged.

In this paper, we show that inverse Data Envelopment Analysis (DEA) modelscan be used to estimate output with fuzzy data for a Decision Making Unit (DMU)when some or all inputs are increased and deficiency level of the unit remainsunchanged. Manuscript profile

Open Access Article

60 - Improving supply chain collaborations and performance of inefficient supply chain
م. صانعی S. Mamizadeh-Chatghayeh

Modern manufacturing enterprises are required to collaborate by theirbusiness partners through their business process operations such as design,manufacture, distribution, and aftersales services. And furthermore performanceevaluation is of great importance for effective More

Modern manufacturing enterprises are required to collaborate by theirbusiness partners through their business process operations such as design,manufacture, distribution, and aftersales services. And furthermore performanceevaluation is of great importance for effective supply chain management. Therefore, DEA can help companies to remove some of the inefficiencies in operational processes in order to become more effective. Thecurrent paper develops one approach for determining the DEA projectionsfor inefficient supply chains. Meanwhile this approach aims at providingan easy, efficient and more practical approach based on the performanceevaluation for the multi-member supply chain. And ultimately, this modelis illustrated by an numerical example of Chinese commercial bank, andcase study application to provide of machine-making supply chain. Manuscript profile

Open Access Article

61 - A statistical test for outlier identification in data envelopment analysis
Morteza Khodabin Reza Kazemi Matin

In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results. In these ‘‘deterministic’’ frontier models, statistical theory is now mostly a More

In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results. In these ‘‘deterministic’’ frontier models, statistical theory is now mostly available. This paper deals with the statistical pared sample method and its capability of detecting outliers in data envelopment analysis. In the presented method, each observation is deleted from the sample once and the resulting linear program is solved, leading to a distribution of efficiency estimates. Based on the achieved distribution, a pared test is designed to identify the potential outlier(s). We illustrate the method through a real data set. The method could be used in a first step, as an exploratory data analysis, before using any frontier estimation. Manuscript profile

Open Access Article

62 - Obtaining a Unique Solution for the Cross Efficiency by Using the Lexicographic method
گ.ر. جهانشاه لو ر. فلاح نژاد

Cross efficiency is a method with the idea of peer evaluation instead of self-evaluation, and is used for evaluation and ranking Decision Making Units (DMUs) in Data Envelopment Analysis (DEA). Unlike most existing DEA ranking models which can only rank a subset of DMUs More

Cross efficiency is a method with the idea of peer evaluation instead of self-evaluation, and is used for evaluation and ranking Decision Making Units (DMUs) in Data Envelopment Analysis (DEA). Unlike most existing DEA ranking models which can only rank a subset of DMUs, for example non-efficient or extreme efficient DMUs, cross efficiency can rank all DMUs, even non-extreme ones. However, since DEA weights are generally not unique, cross-efficiency which uses optimal weights corresponding to evaluation of DMUs may not be unique either. This deficiency renders the cross efficiency method useless. However, the secondary goals proposed to deal with this deficiency of cross efficiency have such drawbacks themselves as well. In this paper we present a new secondary goal for cross efficiency method based on the lexicographic method. The main advantage of the proposed method is that with the possibility of existence of alternative optimal weights at the end of the secondary goal problem, the performance and the rank of DMUs will be constant, while the previous secondary goal methods don't offer any suggestions to deal with their alternative optimal weights. Manuscript profile

List of articles (by subject) Data Envelopment Analysis