List of articles (by subject) Operation Research
-
Open Access Article
1 - A combined evaluation method to rank alternatives based on VIKOR and DEA with BELIEF structure under uncertainty
امیر امینی علیرضا علینژادThis paper processes a combined method, based on VIKOR and Data Envelopment Analysis (DEA) to select the units with most efficiency. We utilize the VIKOR as compromise solution method. This research is a two-stage model designed to fully rank the alternatives, where eac MoreThis paper processes a combined method, based on VIKOR and Data Envelopment Analysis (DEA) to select the units with most efficiency. We utilize the VIKOR as compromise solution method. This research is a two-stage model designed to fully rank the alternatives, where each alternative has multiple inputs and outputs. The problem involves BELIEF parameters in the solution procedure. First, the alternative evaluation problem is formulated by Data Envelopment Analysis (DEA) and in the second stage; we use the opinion of experts with belief parameter to be applied into a model of group Decision-Making (DM) called the aggregated fuzzy belief decision matrix. . In this method weight of efficiency witch obtained from VIKOR is multiply with weight of CCR model of data envelopment analysis. Finally, to illustrate the proposed method, an illustrative example is provided. Manuscript profile -
Open Access Article
2 - An analysis of factors affecting on customers’ adoption of internet-banking services using the graph theory
Ali Sharifi Mahdi HomayounfarThe rapid development of Internet and electronic businesses have stimulated the banking sector towards encouraging customers to internet banking (IB), However, the evidence indicates a lack of interest in the use of IB services. Therefore, this paper aims to identify af MoreThe rapid development of Internet and electronic businesses have stimulated the banking sector towards encouraging customers to internet banking (IB), However, the evidence indicates a lack of interest in the use of IB services. Therefore, this paper aims to identify affecting factors on customer adoption from IB and measure the influence of each factor on IB adoption. Based on an explorative literature review, numbers of factors were considered as affecting factors on customer adoption of IB. Then, these factors were sent to a sample of IB customers in form of a questionnaire. Having collected the filled questionnaires and based on a statistical test, the more important factors explored among all. Hence, many of these factors have relationship with each others; a graph theory based technique (DEMATEL) with feedback structure is used to explore the direct and indirect effects of factors on the other factors and the whole system. The results indicate that: responsiveness (effective handling of problems), accessibility to IB services (hardware necessities), speed of network, ease of use and no need to physical attendance in bank branch, respectively, are the most critical factors. Manuscript profile -
Open Access Article
3 - Animal Diet Formulation with Floating Price
سید هادی ناصری داود درویشیIn the process of milk production, the highest cost relates to animal feed. Based on reports provided by the experts, around seventy percent of dairy livestock costs included feed costs. In order to minimize the total price of livestock feed, according to the limits of MoreIn the process of milk production, the highest cost relates to animal feed. Based on reports provided by the experts, around seventy percent of dairy livestock costs included feed costs. In order to minimize the total price of livestock feed, according to the limits of feed sources in each region or season, and also the transportation and maintenance costs and ultimately milk price reduction, optimization of the livestock nutrition program is an essential issue. Because of the uncertainty and lack of precision in the optimal food ration done with existing methods based on linear programming, there is a need to use appropriate methods to meet this purpose. Therefore, in this study formulation of completely mixed nutrient diets of dairy cows is done by using a fuzzy linear programming in early lactation. Application of fuzzy optimization method and floating price make it possible to formulate and change the completely mixed diets with adequate safety margins. Therefore, applications of fuzzy methods in feed rations of dairy cattle are recommended to optimize the diets. Obviously, it would be useful to design suitable software, which provides the possibility of using floating prices to set feed rations by the use of fuzzy optimization method. Manuscript profile -
Open Access Article
4 - Investigating the Theory of Survival Analysis in Credit Risk Management of Facility Receivers: A Case Study on Tose'e Ta'avon Bank of Guilan Province
مریم عاملی رضا آقاجان نشتاییNowadays, one of the most important topics in risk management of banks, financial, and credit institutions is credit risk management. In this research, the researchers used survival analytic methods for credit risk modeling in terms of the conditional distribution funct MoreNowadays, one of the most important topics in risk management of banks, financial, and credit institutions is credit risk management. In this research, the researchers used survival analytic methods for credit risk modeling in terms of the conditional distribution function of default time. As a practical task, the authors considered the reward credit portfolio of Tose'e Ta'avon Bank of Guilan Province and estimate the bank’s probability of default based on the survival analysis method. In order to analyze and verify the research hypothesis, firstly, the researcher estimated the survival analysis, survival function, and then the value of the probability of default function by three parametric, semi-parametric (proportional hazards model), and non-parametric methods. Finally, the author compared these three methods by using the ROC method. In order to analyze data, SPSS, SAS, R, and Minitab softwares were used. The results revealed that the parametric model was better and more suitable than the other models. After the parametric model, it was observed that, the semi-parametric model (proportional hazards model) and then the non-parametric model proved to be the best models. The results of this research suggest using rating or credit score in banks, because, in addition to the proper management of allocation of facility to customers, using a credit score as an explanatory variable can result in more efficient and more accurate estimations of default probability. Manuscript profile -
Open Access Article
5 - An Improved Optimization Model for Scheduling of a Multi-Product Tree-Like Pipeline
Mehrnoosh TaherkhaniIn the petroleum supply chain, oil refined products are often delivered to distribution centers by pipelines since they provide the most reliable and economical mode of transportation over large distances. This paper addresses the optimal scheduling of a complex pipelin MoreIn the petroleum supply chain, oil refined products are often delivered to distribution centers by pipelines since they provide the most reliable and economical mode of transportation over large distances. This paper addresses the optimal scheduling of a complex pipeline network with multiple branching lines. The main challenge is to find the optimal sequence and time of product injections/deliveries at input /output nodes in order to satisfy product demands with minimum costs. We propose a mixed integer linear problem (MILP) approach that is capable of detecting the interface volumes in any pipeline and handling the simultaneous deliveries to distribution depots. Numerical examples are solved to validate the proposed model. Manuscript profile -
Open Access Article
6 - The impact of organizational innovation through innovation capabilities in process and product on the performance of manufacturing firms
حجت سفالچیان فرهنگ حسین علیزاد آبکناری مهدی فداییAbstract Innovation is considered as a critical factor for organizations to create value and ‎sustainable competitive advantage in today's complex and changing environment. ‎Organizations with more innovation, in response to the changing environments and ‎cr MoreAbstract Innovation is considered as a critical factor for organizations to create value and ‎sustainable competitive advantage in today's complex and changing environment. ‎Organizations with more innovation, in response to the changing environments and ‎creating development of new capabilities that allows them to achieve better ‎performance will be more successful. The aim of current study is to investigate the ‎impact of organizational innovation through innovation capabilities in process and ‎product on the performance of manufacturing firms in Rasht Industrial Town. This ‎research paper is a kind of descriptive and correlation study. The statistical population ‎includes all companies in the industrial city of Rasht (n = 157). Simple random ‎sampling method has been applied, and SPSS 20 and warp pls5 software has been ‎used in order to analyze acquired data. The results indicated that there is a positive ‎relationship between organizational innovation and process innovation capabilities. ‎There was also a positive relationship between organizational innovation and ‎performance through process innovation capabilities. Also a positive relationship ‎between product innovation and company performance and a positive relationship ‎between organizational innovation and performance through product innovation ‎capabilities were observed. ‎ Manuscript profile -
Open Access Article
7 - Improved Automatic Clustering Using a Multi-Objective Evolutionary Algorithm With New Validity measure and application to Credit Scoring
مجید محمدی راد مهدی افضلیIn data mining, clustering is one of the important issues for separation and classification with groups like unsupervised data. In this paper, an attempt has been made to improve and optimize the application of clustering heuristic methods such as Genetic, PSO algorithm MoreIn data mining, clustering is one of the important issues for separation and classification with groups like unsupervised data. In this paper, an attempt has been made to improve and optimize the application of clustering heuristic methods such as Genetic, PSO algorithm, Artificial bee colony algorithm, Harmony Search algorithm and Differential Evolution on the unlabeled data of an Iranian bank with the credit scoring approach. A survey was also used to measure the clustering validity index which resulted in a new validity index. Finally, the results were compared to identify the best algorithm and validity measure. Manuscript profile -
Open Access Article
8 - An Optimal Dynamic Control Method for an Isolated Intersection Using Fuzzy Systems
اسماعیل ابراهیم زاده کویخی Gholamhossen EkbatanifardTraffic flow systems are nonlinear and uncertain, so it is very difficult to find their optimal points. In traditional traffic control systems, the traffic lights of crossings change in a fixed time period that is not optimal. On the other hand, most proposed systems ar MoreTraffic flow systems are nonlinear and uncertain, so it is very difficult to find their optimal points. In traditional traffic control systems, the traffic lights of crossings change in a fixed time period that is not optimal. On the other hand, most proposed systems are sufficiently capable of coping with the uncertainties of traffic flow. To solve this problem, there is a need to develop expert systems that can manage the traffic flow of intersections in terms of its actual conditions in a normal and emergency situation. This paper introduces an optimal dynamic and smart eight-phase traffic light control system using fuzzy controllers in which the capability of fuzzy systems with human-like decision-making process is exploited. This algorithm reduces the waiting time of the vehicles in intersection queues and in traffic congestion by the strategy of optimal green light durations and dynamic phasing based on the lanes with heavier traffic and the critical conditions like the entrance of emergency vehicles into the intersection. At the same time, it keeps the simplicity and avoids computational complexity. This method is simulated for an isolated intersection based on the traffic feature and the random data input rate to determine the dynamic timing of the traffic light and optimal phases with the smart fuzzy method using MATLAB Software Package (Matlab, 2013). This approach assessed the proposed method of intersection traffic control in terms of efficiency and traffic density against the constant-timing system and four-phase system proposed by some researchers. The results show that the proposed method can be effective in improving intersection traffic control systems. Manuscript profile -
Open Access Article
9 - Analysis for Quadrupled Fixed Point of Contractive-Type Multi-Valued Operators
Samuel AnikiThis work considered the existence, uniqueness and data dependence of quadrupled fixed point theorems for contractions in metric spaces, equipped with vector-valued metrics whose approach is primarily based on Perov-type fixed point of contractive-type multi-valued mapp MoreThis work considered the existence, uniqueness and data dependence of quadrupled fixed point theorems for contractions in metric spaces, equipped with vector-valued metrics whose approach is primarily based on Perov-type fixed point of contractive-type multi-valued mapping in Cauchy spaces. This work obtained results that complement recent and available results in literature. Manuscript profile -
Open Access Article
10 - On solving possibilistic multi- objective De Novo linear programming
Hamiden KhalifaMulti-objective De Novo linear programming (MODNLP) is problem for designing optimal system by reshaping the feasible set (Fiala [3] ). This paper deals with MODNLP having possibilistic objective functions coefficients. The problem is considered by inserting possibilist MoreMulti-objective De Novo linear programming (MODNLP) is problem for designing optimal system by reshaping the feasible set (Fiala [3] ). This paper deals with MODNLP having possibilistic objective functions coefficients. The problem is considered by inserting possibilistic data in the objective functions coefficients. The solution of the problem is defined and established under the using of efficient and necessary condition. Also, the relation between possibilistic levels corresponding to the solution is constructed. A solution procedure for solving the problem is proposed. A numerical example is given for illustration. Manuscript profile -
Open Access Article
11 - Determining the Key Indicators affecting Electronic Customer Relationship Management (e-CRM) Using an integration of balanced scorecard and fuzzy screening techniques (Case Study: Companies Covered by Parsian Data-Processors Group)
abbas shahnavazi Mehran Nemati Gonbaghi Seyedeh Faezeh Teymouri Bahman Ghasemi dakdareNowadays, increasing competition among companies and the huge cost of attracting new customers has led to companies seeking to retain existing customers rather than looking to attract new customers. These factors together have led to the emergence of customer relationsh MoreNowadays, increasing competition among companies and the huge cost of attracting new customers has led to companies seeking to retain existing customers rather than looking to attract new customers. These factors together have led to the emergence of customer relationship management. Thanks to the development of information and communication technology, especially the Internet, the use of customer relationship management has expanded and facilitated, and electronic customer relationship management has been formed. Customer Relationship Management (EMS) seeks to deepen and empower customer relationships by utilizing a variety of information and communication technologies such as websites. With the aim of identifying key indicators of performance and improving the performance of the Balanced Scorecard, this research paper has attempted to integrate it with Yager’s Fuzzy screening technique. This integrated model was implemented to develop a balanced scorecard for customer relationship management evaluation of companies covered by Parsian Data-Processors Group. The scale of “very important” was set as an acceptable scale for going through the screening process and for agreeing between managers and experts on the most important indicators. The results showed that the five indicators of customer viewpoint including increasing customer support during Purchasing Process and Afterward, Increasing Brand Confidence and Credibility , Participating in the Online Environment, Enhancing Customer Service After Sales, Increasing Customer Satisfaction, Increasing Site Usage and Various Site Capabilities, the four indicators of learning and innovating viewpoint including continuous improvement and modernization of the company's current services, the ability to use the new technologies, knowledge management capabilities in the organization and the ability of the company to learn from the market and to react it, the four indicators of financial viewpoint including Increased profitability; Increased share of online sales, flexibility in financing and increased annual sales , and the four indicators of exchange (processes) viewpoint including increased software update, increased use of advanced technologies compared to competitors; increased and improved use of Technology and Increasing Diversity of Services Offered on the Site (E-mail) have extracted as Key Indicators of Balanced Card Relationship Management Evaluation. Manuscript profile -
Open Access Article
12 - Identification and Prioritization of Factors Affecting Authentic Leadership Deployment at the University of Medical Sciences by AHP
مهرزاد عبداله زاده لاله دشتی مهرداد گودرزوند چگینی حمیدرضا رضایی کلیدبریAuthentic leadership is a pattern of leadership behavior that, by possessing positive psychological abilities, can create a special place for service organizations. The purpose of this study was to identify and prioritize the factors influencing the establishment of aut MoreAuthentic leadership is a pattern of leadership behavior that, by possessing positive psychological abilities, can create a special place for service organizations. The purpose of this study was to identify and prioritize the factors influencing the establishment of authentic leadership in the University of Medical Sciences through hierarchical analysis. The purpose of the study is practical and based on qualitative-quantitative approach. The statistical population of the study consisted of Philosophers of Management and Experimental Experts at the University of Medical Sciences who were selected by purposeful sampling and snowball technique until theoretical saturation was reached. The data collection tool was semi-structured interview. Based on the theme analysis technique, MAXQDA11 software identified effective factors on authentic leadership approach and then identified the factors identified by AHP using Expert Choice11 software. The findings showed that among the 13 effective factors considered by experts, the factor of supportive authenticity has the most influence on the implementation of authentic leadership approach in medical sciences university and economic conditions have the least weight or importance. Based on this, it is possible to establish a authentic leadership approach in the University of Medical Sciences by establishing a flexible, service-oriented and flexible structure, in addition to creating a transparent and reliable atmosphere. Manuscript profile -
Open Access Article
13 - A New Hybrid Conjugate Gradient Method Based on Secant Equation for Solving Large Scale Unconstrained Optimization Problems
نصیرو صلیحو Mathew Odekunle Mohammed Waziri Abubakar HaliluThere exist large varieties of conjugate gradient algorithms. In order to take advantage of the attractive features of Liu and Storey (LS) and Conjugate Descent (CD) conjugate gradient methods, we suggest hybridization of these methods in which the parameter is computed MoreThere exist large varieties of conjugate gradient algorithms. In order to take advantage of the attractive features of Liu and Storey (LS) and Conjugate Descent (CD) conjugate gradient methods, we suggest hybridization of these methods in which the parameter is computed as a convex combination of and respectively which the conjugate gradient (update) parameter was obtained from Secant equation. The algorithm generates descent direction and when the iterate jam, the direction satisfy sufficient descent condition. We report numerical results demonstrating the efficiency of our method. The hybrid computational scheme outperform or comparable with known conjugate gradient algorithms. We also show that our method converge globally using strong Wolfe condition. Manuscript profile -
Open Access Article
14 - Using Theory of Constraints in Production Management and Scheduling (A Case Study)
Ahmad Hooshmand Ali Reza Mehrazeen Ali Reza Davoody Mohamad Reza ShorvarziIn manufacturing institutes the only access way to maximum profit is identifying the production mix of the products based on the limitations such as policies and politics, demand and production processes. This study identifies the constraints of a tile-manufacturing com MoreIn manufacturing institutes the only access way to maximum profit is identifying the production mix of the products based on the limitations such as policies and politics, demand and production processes. This study identifies the constraints of a tile-manufacturing company including constraints in its production and demand line using LINGO software version 15, and identifying production bottleneck, i.e. furnace, production scheduling was provided and sensitivity analysis was con-ducted on the variables and right hand items. Positive shadow price of furnace shows efficiency of every unit on throughput. Also, in demand constraint, negative shadow price of product 16 shows decreasing effect of increase of every unit on throughput. Allowable increase and decrease of right hand items show allowable increase in furnace section and limitlessness of allowable decrease of product 16. Changes in this range causes that the current basis remains optimal changes in which causes changes in the optimal value of the target function regarding shadow prices. Manuscript profile -
Open Access Article
15 - The Impact of Green Supply Chain Management on Export Performance of Exporters of Guilan Province Due to the Mediating Role of Environmental Performance
مجتبی روشنی دلیوند سید محمود شبگو منصفThe purpose of this study was to evaluate the effect of environmental performance mediator role on the effect of green supply chain management on export performance of exporting companies in Guilan province. The purpose of the study is applied and descriptive - survey t MoreThe purpose of this study was to evaluate the effect of environmental performance mediator role on the effect of green supply chain management on export performance of exporting companies in Guilan province. The purpose of the study is applied and descriptive - survey type. The statistical population of the study consisted of the selected exporting companies in Guilan province in the year 1977. The data collection tool was a standard questionnaire whose validity was confirmed by content validity and its reliability by Cronbach's alpha test. Structural equation modeling based on partial least squares approach was used for data analysis by Smart PLS3 statistical software. The findings showed that green supply chain management has a positive and significant effect on environmental performance and export performance of exporting companies in Guilan province. The impact of environmental performance on export performance of exporting companies was also confirmed. The mediating role of environmental performance on the impact of green supply chain management on export performance of exporting companies of Guilan province was also proved. Overall, it can be said that by improving environmental performance, the impact of green supply chain management on the export performance of exporting companies in Guilan province will improve. Manuscript profile -
Open Access Article
16 - MULTIMOORA Decision Making Algorithm for Expansion of HVDC and EHVAC in Developing Countries (A Case Study)
Ali Aranizadeh Mehrzad Kazemi Homayoun Barahmandpour mirpouya mirmozaffariThese days, as the residents of urban areas grow, the requirement for consumption rises too. This quantity of consumption needs power generation cores with large volume utilizing that it needs to be big enough which guides technology in the direction of wholesale power MoreThese days, as the residents of urban areas grow, the requirement for consumption rises too. This quantity of consumption needs power generation cores with large volume utilizing that it needs to be big enough which guides technology in the direction of wholesale power transmission systems. Consequently, two kinds of power transmission systems including HVDC and EHVAC can be considered. However, since none of the aforementioned technologies has been used in developing countries, a decision should be made to present and progress any of these technologies. Applying both of these technologies concurrently would not be economic. Therefore, this paper studies deciding on the introduction and development of HVDC and EHVAC in a developing country, Iran. A decision-making development needs the principles of conflicting purposes for alternatives and the selection of the best alternative based on the needs of decision-makers. Multi-objective optimization methods may well provide a solution for this selection. To this end, measures of this selection are described in more specifics and then, MULTIMOORA, one of the recognized MCDM approaches, is used to make the ultimate result. Manuscript profile -
Open Access Article
17 - Numerical Optimal Control of The Wave Equation
Hassan Zarei Ali ZafariIn this paper, we present a spectral method for approximating the boundary optimal control problems of a well-known wave equation by the linear optimal control problems. The method is based upon constructing the Mth degree interpolation polynomials, using Chebyshevs nod MoreIn this paper, we present a spectral method for approximating the boundary optimal control problems of a well-known wave equation by the linear optimal control problems. The method is based upon constructing the Mth degree interpolation polynomials, using Chebyshevs nodes, to approximate the wave equation. Necessary conditions for optimal control functions are obtained by using the Pontryagin's maximum principle. Moreover, the control parameterization enhancing technique (CPET) is used to obtain the piecewise constant sub-optimal control functions. Finally, the efficiency of the proposed method is confirmed by a numerical example. Manuscript profile -
Open Access Article
18 - Stability Theorem and Results for Quadrupled Fixed Point of Contractive Type Single Valued Operators
Samuel Aniki Kamilu RaufThis paper present the existence and uniqueness of quadrupled fixed point theorems, whose method is quite primarily based definitely on Perov-type fixed point theorem for contraction in metric spaces equipped with vector-valued matrices. Furthermore, the study consist o MoreThis paper present the existence and uniqueness of quadrupled fixed point theorems, whose method is quite primarily based definitely on Perov-type fixed point theorem for contraction in metric spaces equipped with vector-valued matrices. Furthermore, the study consist of Ulam-Hyers stability results for quadrupled fixed points of contractive type single valued mappings on complete metric spaces will be obtained. Manuscript profile -
Open Access Article
19 - A metaheuristic algorithm for optimizing strategic and tactical decisions in a logistics network design problem
رضا بابازادهTodays, industries are seeking the ways to improve their competitiveness and responsiveness in order to achieve the most share of markets and customer satisfaction. Optimization of strategic and tactical decisions in a logistics network would improve total performance o MoreTodays, industries are seeking the ways to improve their competitiveness and responsiveness in order to achieve the most share of markets and customer satisfaction. Optimization of strategic and tactical decisions in a logistics network would improve total performance of the supply chain in a long term planning horizon. This paper presents a Mixed-integer linear programming (MILP) model to optimize logistics networks under real limitations such as demand, capacity, and budget constraints. Due to NP-hard nature of the proposed model a Differential Evolutionary (DE) algorithm is proposed to solve the large sizes of the presented model in reasonable time. Finally, the computational results obtained through the DE algorithm are compared with the solutions obtained by GAMS optimization software. The results reveal that the proposed methodology is an efficient tool to optimize large scale logistics networks. Manuscript profile -
Open Access Article
20 - Efficiency Evaluation in Presence of Undesirable and Negative Factors
مهناز مقبولی مهدی عینی فرهاد طاهرData envelopment analysis (DEA) has been proven as an excellent data-oriented efficiency analysis method for comparing decision making units (DMUs) with multiple inputs and multiple outputs. In conventional DEA models, it is assumed that the input or output variables ar MoreData envelopment analysis (DEA) has been proven as an excellent data-oriented efficiency analysis method for comparing decision making units (DMUs) with multiple inputs and multiple outputs. In conventional DEA models, it is assumed that the input or output variables are all non-negative and desirable. However, in some situations, a performance measure can take positive quantity for some DMUs and negative value for others. Also, undesirable (bad) inputs and outputs may be presented in the production process. Hence, the standard model cannot directly reflect the efficiency score. The paper proposes a modified model in which both undesirable and negative data are treated to improve the relative efficiency of the DMU under evaluation. The focus of this paper is on treating the negative data on the definition of the two non-negative variable and the decreasing of undesirable outputs. A real example of 20 bank branches shows applicability of the proposed approach Manuscript profile -
Open Access Article
21 - meta-heuristic algorithms to solve the problem of terminal facilities on a real scale
مهدی فضلی فرزین مدرس خیابانی بهروز دانشیانa b s t r a c tOur main goal in this article is to arrange terminal facilities, place different departments, stores and units in predefined areas in such a way as to minimize the cost of moving customers and transportation staff. Especially in large-scale terminals with Morea b s t r a c tOur main goal in this article is to arrange terminal facilities, place different departments, stores and units in predefined areas in such a way as to minimize the cost of moving customers and transportation staff. Especially in large-scale terminals with several different transport segments, it is important for terminal performance to be close to interactive units. Today, meta-heuristic methods are often used to solve optimization problems such as facility design. in this study; The design of the various units, stores, and rooms of a large-scale real terminal was organized using three meta-heuristic algorithms: Migratory Bird Optimization (MBO), Taboo Search (TS), and Simulated Simulation (SA). The results were compared with the existing terminal design. As a result, MBO and SA metaheuristic algorithms have provided the best results, which improve the efficiency of the existing terminal design to an acceptable level. Manuscript profile -
Open Access Article
22 - Grading of Decision-Making Units with Multi-Period Two-Stage Network Structure: a Method Based on Relative Data Envelopment Analysis
مقصود احمد خانلو قراخانلو نیما آذرمیر شتربانی قاسم توحیدی شبنم رضویان روح اله عباسیData envelopment analysis is always considered as a non-parametric method for measuring the efficiency of a set of decision units. The efficiency number obtained from standard models is a criterion for comparing the performance of each decision unit with other units. De MoreData envelopment analysis is always considered as a non-parametric method for measuring the efficiency of a set of decision units. The efficiency number obtained from standard models is a criterion for comparing the performance of each decision unit with other units. Despite the many strengths of these models, one of their weaknesses is the lack of distinction between efficient units. Also, these models do not pay attention to the internal structure of the units and have a black box view. To solve these problems, relational data envelopment analysis models are used, which are much more cost-effective in terms of time and cost; But these models are static and do not take time into evaluation. In this paper, a method has been proposed for grading of the decision making units with multi- period two stages network structure using relative data envelopment analysis. Three different perspective are introduced for assessment of efficiency in time periods via relative data envelopment analysis. Proportionate with each perspective, an efficiency number is obtained for any decision making unit. Then three efficiency numbers obtained in the mentioned method is combined with Shannon entropy method and a total efficiency criterion is defined for each unit. Finally, this measure is considered as the main indicator for the units grading. The results of implementation of the mentioned algorithm on the real example and comparison with the similar methods clarify the strength of this algorithm. Manuscript profile -
Open Access Article
23 - Stability and Iterative Procedures for Quadrupled Fixed Point in Partially Ordered Metric Spaces
Samuel AnikiThe concept of fixed point is of great interest in mathematics as well as in many areas of applied sciences. Previously, the question of fixed points in partially ordered metric spaces had been studied, and quadrupled fixed point theorem is a continuation of the tripled MoreThe concept of fixed point is of great interest in mathematics as well as in many areas of applied sciences. Previously, the question of fixed points in partially ordered metric spaces had been studied, and quadrupled fixed point theorem is a continuation of the tripled fixed point theorem. This work presents the stability for quadrupled fixed point iterative procedure with the aid of some mathematical analysis properties, and establishes results for mixed monotone mappings which satisfy its contractive-type conditions. The results of this work extend some of the results in literature. Manuscript profile -
Open Access Article
24 - Use whale algorithm and neighborhood search metaheuristics with fuzzy values to solve the location problem
مهدی فضلی فرزین مدرس خیابانی بهروز دانشیانIn this paper, a facility location model with fuzzy value parameters based on the meta-heuristic method is investigated and solved. The proposed method and model uses fuzzy values to investigate and solve the problem of location allocation. The hypotheses of the problem MoreIn this paper, a facility location model with fuzzy value parameters based on the meta-heuristic method is investigated and solved. The proposed method and model uses fuzzy values to investigate and solve the problem of location allocation. The hypotheses of the problem in question are considered as fuzzy random variables and the capacity of each facility is assumed to be unlimited. This article covers a modern, nature-inspired method called the whale algorithm and the neighborhood search method. The proposed method and related algorithm are tested with practical optimization problems and modeling problems. To evaluate the efficiency and performance of the proposed method, we apply this method to our location models in which fuzzy coefficients are used. The results of numerical optimization show that the proposed method performs better than conventional methods. Manuscript profile -
Open Access Article
25 - Prioritization of the influential factors of corporate social responsibility in Iranian airline industry by CRITIC and COPRAS methods
مهدی فدایی حامد غیب دوستNowadays, corporate social responsibility (CSR) has a significant role in the airline industry. The purpose of the present paper is to prioritize the factors influencing CSR in the airline industry. The present study prioritizes the factors influencing CSR in Iran's air MoreNowadays, corporate social responsibility (CSR) has a significant role in the airline industry. The purpose of the present paper is to prioritize the factors influencing CSR in the airline industry. The present study prioritizes the factors influencing CSR in Iran's airline industry by using criteria importance through inter-criteria correlation (CRITIC) and Complex proportional assessment (COPRAS) to find the best airline among five Iranian airlines in Iran in 2021. Factors influencing this study include 4 main criteria and 15 sub-criteria. The results show that energy consumption is the most influential factor among influence factors, and airline 3 obtained the first rank. The present study helps airline managers to improve the performance of CSR by influencing factors in the airline industry. Manuscript profile -
Open Access Article
26 - Sequential Optimality Conditions for Bilevel Multiobjective Fractional Programming Problems with Extremal Value Function
Laghdir MohamedIn this paper, we consider a bilevel multiobjective fractional programming problem $(\mathcal{BMFP})$ with an extremal value function. We provide necessary and sufficient optimality conditions characterizing (properly, weakly) efficient solutions of the considered probl MoreIn this paper, we consider a bilevel multiobjective fractional programming problem $(\mathcal{BMFP})$ with an extremal value function. We provide necessary and sufficient optimality conditions characterizing (properly, weakly) efficient solutions of the considered problem. These optimality conditions are obtained in terms of sequences and based on sequential calculus rules for the Br\o ndsted-Rockafellar subdifferential of the sum and the multi-composition of convex functions, without constraint qualifications. Manuscript profile -
Open Access Article
27 - A novel solving method for multi-objective decision making problems under fuzzy conditions
Alireza Alinezhad ابوالفضل کاظمی Mojgan KhorasaniThis paper proposes a satisfying optimization method for fuzzy multiple objective optimization problem. Actually, the presented method realizes the trade-off between optimization and fuzzy importance requirement. Generally, the main aim of the presented approach is to m MoreThis paper proposes a satisfying optimization method for fuzzy multiple objective optimization problem. Actually, the presented method realizes the trade-off between optimization and fuzzy importance requirement. Generally, the main aim of the presented approach is to make the more important objective achieving the higher desirable satisfying degree. In practice, vagueness and imprecision of the goals, constraints and parameters in this problem make the decision-making complicated for decision makers who have to deal with the parameters to make the optimized decision. Hence, the reformulated optimization models based on goal programming is proposed for different fuzzy relations and fuzzy importance. In fact, decision makers can select the appropriate alternative considering their determinations from variety of solutions using parameter λ. Applying the proposed model, not only the satisfying results of all the objectives can be acquired, but also the fuzzy importance requirement can be simultaneously actualized. In addition, a numerical example is provided to illustrate how the model is applied. Finally, the conclusions and recommendations are presented. Manuscript profile -
Open Access Article
28 - Legendre Wavelet Method for a Class of Fourth-Order Boundary Value Problems
سرکوت عبدی آرام عزیزی محمود شفیعی جمشید سعیدیانIn this paper we apply an approximate method based on Galerkin approach with Legendre wavelets basis, on a class of fourth order boundary value problems. The approach reduces the main equation to a system of linear algebraic equations that could be solved numerically. T MoreIn this paper we apply an approximate method based on Galerkin approach with Legendre wavelets basis, on a class of fourth order boundary value problems. The approach reduces the main equation to a system of linear algebraic equations that could be solved numerically. The operational matrix of the method is obtained, and the convergence of the method is proved. we approximate the solution and its higher order derivatives, for some special examples and compare the results with some other numerical methods. The results show the effectiveness of the proposed method. Manuscript profile -
Open Access Article
29 - Technology Decomposition and Energy Intensity in OPEC Countries: DEA-Malmquist Approach
مهدی فلاح جلودار سمیه صادقیReduction of energy intensity through gaining energy efficiency is a global agenda for sustainable development goals. The evidence show that the energy intensities of most energy exporting countries (such as OPEC) have historically been very high compared with energy im MoreReduction of energy intensity through gaining energy efficiency is a global agenda for sustainable development goals. The evidence show that the energy intensities of most energy exporting countries (such as OPEC) have historically been very high compared with energy importing and industrialized economies. Hence, the understanding of the main determinants (or drivers) of energy intensity in energy exporting countries is important for economic researchers and policymakers. Therefore, this paper investigates the role of technology and its components on energy intensity changes in OPEC countries using a DEA-Malmquist over the period of 2000-17. The findings show that technological progress has played a significant role in reducing of energy intensity. Moreover, the results after TFP decomposing using DEA method indicates that the negative effect of technical change on energy intensity is much larger than of the efficiency change effect, Although, the estimated values of these components are is relatively weak. Next, we investigate what is main driving of technological progress in the OPEC countries. The findings imply that trade openness is a main factor to causes to improve the productivity. Manuscript profile -
Open Access Article
30 - Analysis of environmental efficiency and marginal rate of substitution in the presence of undesirable factors: A DEA-based approach
منصور صوفی فاطمه بزرگی گردویشه مهدی همایون فر علیرضا امیرتیموریThe balance between environmental regulations and economic issues has always been one of the main challenges of governments, because with the growth of industrialization, environmental pollution has also increased. Along with the desired outputs in the production proces MoreThe balance between environmental regulations and economic issues has always been one of the main challenges of governments, because with the growth of industrialization, environmental pollution has also increased. Along with the desired outputs in the production process, may also produce undesirable outputs which have a great impact on organizations efficiency and environmental pollution. On the other hand, dealing with the impact of undesirable factors on the inputs and desirable outputs, valuable information for making strategies and organizational decisions could be achieved. Considering undesirable factors, this paper aims to calculate the relative efficiency and marginal ratios of environmental systems using weak and managerial disposability models of data envelopment analysis (DEA). This study is conducted in two phases. In the first one, the regions were classified into efficient and inefficient groups using a developed DEA model. In the second step, the marginal rate of undesirable outputs on the inputs and desirable outputs in efficient areas were calculated. The results showed that the change in the amount of undesirable outputs has a significant effect on other variables. Manuscript profile -
Open Access Article
31 - A Constructive Scheme for Tripled Fixed Point Problems in Hilbert Space
Samuel AnikiTripled fixed point is an extension to coupled fixed point theory. The idea of tripled fixed point has largely become a focus of research interest in the area of mathematical analysis, especially for their vast application. This research presents a common tripled fixed MoreTripled fixed point is an extension to coupled fixed point theory. The idea of tripled fixed point has largely become a focus of research interest in the area of mathematical analysis, especially for their vast application. This research presents a common tripled fixed point iteration for approximating tripled fixed points in linear spaces which is in the context of a Hilbert space. Here, a tripled Mann iterative scheme is defined and applied to resolve the problem of common tripled fixed points of certain mappings. Hence, this work is an extension to recent research in the literature. Manuscript profile -
Open Access Article
32 - Upgrading inefficient decision making units (with negative data) towards common weights (using DEA)
حسین عباسیانThe main purpose of this paper is to upgrade and improve inefficient units by common weights obtained from all units studied. In fact, we consider the common weight vector as the direction in which inefficient units rise. The methodology of this research is to consider MoreThe main purpose of this paper is to upgrade and improve inefficient units by common weights obtained from all units studied. In fact, we consider the common weight vector as the direction in which inefficient units rise. The methodology of this research is to consider the semi-essential radial model and we want to use the duality of this model to find the common weights of inputs and outputs, some of which are negative. For this purpose, we present a multi-objective problem of generating common weights and use ideal programming to solve it, which leads to the production of a nonlinear problem, which for this particular problem, by a linearization method, is called We turn a linear programming problem. Since the necessary and sufficient condition for the boundary of the semi-essential radial model in the nature of input (output) is that there is an input (output) with at least one positive value, so we observe this condition here. Finally, we will explain our method with an example and the remarkable thing about the promotion method in the present study is that negative data is promoted and improved as negative data. Manuscript profile -
Open Access Article
33 - Ranking Tehran Stock Exchange Industries using a Combined FCM-ELECTRE III-LA Method
مجتبی موحدی مهدی همایونفر مهدی فدایی اشکیکی منصور صوفیOne of the most complex decision-making issues for stock exchange investors is the evaluation of companies' performance and their ranking in the next step, which can be done based on different approaches. In the paper, the industries of Tehran Stock Exchange (TSE) evalu MoreOne of the most complex decision-making issues for stock exchange investors is the evaluation of companies' performance and their ranking in the next step, which can be done based on different approaches. In the paper, the industries of Tehran Stock Exchange (TSE) evaluated during the years 2010 to 2019 and ranked by a combined fuzzy cognitive map (FCM), Electere III and linear assignment (LA) method. To this aim, first based on the literature review, 21 more cited criteria were selected as the main criteria in performance analysis of the TSE. Then, fuzzy cognitive map as a qualitative analytical tool, was applied to rank financial eavaluation criteria based on their intractions. Applying FCM, five criteria were determined as more important criteria for performance evaluation. In the the next step, all of the industries in TSE were evaluated in 10 years from 2011 to 2020 using the ELECTRE III as a powerfull MCDA method. Finally, LA method was applied for integrating the rank of industry in the 10 years period. The results indicate that insurance and pension industries, Industrial multidisciplinary and Food (except sugar), placed at the first to third ranks. Manuscript profile -
Open Access Article
34 - Assessing the value efficiency of each unit in relation to the tangent hyper plane in DEA (units including negative data with interval scale)
حسین عباسیان سید علی کاظمی پورIn data envelopment analysis, value efficiency is an efficiency concept that uses the decision maker's priorities to calculate it. In this article, data with interval scale is the difference of two different data of inputs and outputs with a ratio scale, and one of the MoreIn data envelopment analysis, value efficiency is an efficiency concept that uses the decision maker's priorities to calculate it. In this article, data with interval scale is the difference of two different data of inputs and outputs with a ratio scale, and one of the innovations of this research is that it calculates the value efficiency of units that include negative data with an interval scale. In real value efficiency, the indifference curve of the value function is used, which is unknown, and another innovation of this research is that we approximate this curve with the tangent hyper plane at the point with most preferences and with the proposal of the decision maker, we consider one of the technical efficiency units as the point with the most preferences. To find this tangent hyper plane, we use the dual problem of radial models, which have returns to variable scale. Finally, the distance of each decision-making unit to the tangent hyper plane shows the value efficiency of that unit. In the presented numerical example, the obtained results are very close to the results of Halme and his colleagues’ models, and this method can provide a suitable approximation for value efficiency. Manuscript profile -
Open Access Article
35 - Efficiency Evaluation of Economic Enterprise in Presence of Interval Undesirable and Negative Data
MAHNAZ MAGHBOULI مهدی عینی فرهاد طاهر FATEMEH GHOMANJANIData envelopment analysis (DEA) as a non-parametric method has covered a wide range of applications in measuring comparative efficiency of decision making units (DMUs) with multiple incommensurate inputs and outputs. The standard DEA method requires that all input and o MoreData envelopment analysis (DEA) as a non-parametric method has covered a wide range of applications in measuring comparative efficiency of decision making units (DMUs) with multiple incommensurate inputs and outputs. The standard DEA method requires that all input and output variables be known as semi positive. In many real situations, the presence of undesirable and even negative data are inevitable. In DEA literature there have been various approaches to enable DEA to deal with negative data. On the other hand, the structure of interval data has recently attracted considerable attention among DEA researchers. According to importance of interval data, this paper proposes a radial measure which permits the presence of undesirable and negative data with interval structure. The proposed model can evaluate the efficiency of all DMUs and leads to improve the inefficient unit with interval negative and undesirable data. To elucidate the details of the proposed method an illustrative example of a private bank in IRAN explores the applicability of the proposed method. Manuscript profile -
Open Access Article
36 - Optimization of the Private Sector Cooperative Approach in Investment Projects of the National Iranian Oil Company Using Game Theory Approach
شادی صفری منصور صوفی علیرضا امیرتیموری مهدی فداییThe aim of this research is to design scenarios based on cooperative game theory scenarios to examine the rewards and penalties observed from sharing or not sharing knowledge among companies. The statistical population of the study includes managers and experts from 10 MoreThe aim of this research is to design scenarios based on cooperative game theory scenarios to examine the rewards and penalties observed from sharing or not sharing knowledge among companies. The statistical population of the study includes managers and experts from 10 subsidiary companies of the National Iranian Oil Company, among whom 10 senior managers were selected for pairwise comparisons using the snowball sampling method. The research method is classified as descriptive, applied, interpretive, exploratory, with a quantitative and qualitative nature. This study emphasizes the importance of efficient knowledge sharing as a means to foster cooperative in the investment portfolios of the National Iranian Oil Company to compete with foreign competitors during sanctions. By reviewing the results of the four scenarios derived from the game, it was observed that the rewards companies receive from sharing knowledge are dependent on the behavior resulting from knowledge sharing by other companies. The more capable an organization is in influential factors related to knowledge transfer and innovation; the more benefits companies will gain if they cooperate. Sensitivity analysis regarding the costs of project cooperative, which arises due to the difficulty of implementing joint projects, showed that as the costs increase, companies tend to shift from a cooperative strategy towards a retaliation strategy and then towards a non-cooperative strategy. The impact of companies' intellectual capital status on the selection of cooperative strategies was observed. Companies that decide to collaborate, if equipped with higher intellectual capital due to experience and empowerment, tend to prefer an optimal strategy towards cooperative. Manuscript profile -
Open Access Article
37 - Sensitivity Analysis in Linear-Plus-Linear Fractional Programming Problems
ب. خیرفامIn this paper, we study the classical sensitivity analysis when the right - hand – side vector, and the coefficients of the objective function are allowed to vary.In this paper, we study the classical sensitivity analysis when the right - hand – side vector, and the coefficients of the objective function are allowed to vary. Manuscript profile -
Open Access Article
38 - Variational Iteration Method for Fredholm integral equations of the second kind
ج. بی آزار H. ابراهیمیIn this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and sim MoreIn this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution. Manuscript profile -
Open Access Article
39 - A Nonlinear Mathematical model for Asthma: Effect of Environmental Pollution
NARESHA RAM Agraj TripathiIn this paper, we explore a nonlinear mathematical model to study the spread of asthma due to inhaled pollutants from industry as well as tobacco smoke from smokers in a variable size population. The model is analyzed using stability theory of differential equations and MoreIn this paper, we explore a nonlinear mathematical model to study the spread of asthma due to inhaled pollutants from industry as well as tobacco smoke from smokers in a variable size population. The model is analyzed using stability theory of differential equations and computer simulation. It is shown that with an increase in the level of air pollutants concentration, the asthmatic (diseased) population increases. It is also shown that along with pollutants present in the environment, smoking (active or passive) also helps in the spread of asthma. Moreover, with the increase in the rate of interaction between susceptibles and smokers, the persistence of the spread of asthma is higher. A numerical study of the model is also performed to see the role of certain key parameters on the spread of asthma and to support the analytical results. Manuscript profile -
Open Access Article
40 - Solution of fuzzy differential equations under generalized differentiability by Adomian decomposition method
ت. اللهویرانلو ل. جمشیدیAdomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by using the stron MoreAdomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by using the strongly generalized differentiability. Also one concrete application for ordinary fuzzy differential equation with fuzzy input data are given. Manuscript profile -
Open Access Article
41 - The Use of Semi Inherited LU Factorization of Matrices in Interpolation of Data
محمدعلی فریبرزی عراقی امیر فلاح زادهThe polynomial interpolation in one dimensional space R is an important method to approximate the functions. The Lagrange and Newton methods are two well known types of interpolations. In this work, we describe the semi inherited interpolation for approximating the valu MoreThe polynomial interpolation in one dimensional space R is an important method to approximate the functions. The Lagrange and Newton methods are two well known types of interpolations. In this work, we describe the semi inherited interpolation for approximating the values of a function. In this case, the interpolation matrix has the semi inherited LU factorization. Manuscript profile -
Open Access Article
42 - Designing an optimization model for preventing the waste time in the activity cycle of an organization
م. طالقانی ی. مدبریانThis article proposes an optimization model for preventing the waste of time in the educational and research activities' cycle of an organization such as a university. For this purpose and in order to increase efficiency and prevent the waste of time; the graph theory m MoreThis article proposes an optimization model for preventing the waste of time in the educational and research activities' cycle of an organization such as a university. For this purpose and in order to increase efficiency and prevent the waste of time; the graph theory models have been used. The educational and research activities diagrams of a supposed university is drawn by the use of graphs theory model, and then these graphs are analyzed, then in order to design a model, the units, activities and the time of doing each activity are symbolized, and the collected data are presented in the form of matrix. In this article two procedures are suggested for optimization; using subgraphs for every activity cycle in order to shorten the activity cycles and minimizing the time of doing each work. The algorithm of time minimizing is based on recognizing and determining the edges with the most weight as the maximum time. Also the influential factors on the waste of time in activity cycle are recognized and then replaced or omitted. Manuscript profile -
Open Access Article
43 - Well- posedness of the Rothe difference scheme for reverse parabolic equations
Allaberen Ashyralyev Ayfer Dural Yaşar SözenWe consider the Rothe difference scheme for approximate solution of the abstract parabolic equation in a Hilbert space with the nonlocal boundary condition. Theorems on stability estimates, coercivity and almost coercivity estimates for the solution of this difference s MoreWe consider the Rothe difference scheme for approximate solution of the abstract parabolic equation in a Hilbert space with the nonlocal boundary condition. Theorems on stability estimates, coercivity and almost coercivity estimates for the solution of this difference scheme are established. In application, new coercivity inequalities for the solution of multi-point nonlocal boundary value difference equations of parabolic type are obtained. Manuscript profile -
Open Access Article
44 - A note on the averaging method for differential equations with maxima
Victor Plotnikov Olga KichmarenkoSubstantiation of the averaging method for differential equations with maxima is presented. Two theorems on substantiates for differential equations with maxima are established.Substantiation of the averaging method for differential equations with maxima is presented. Two theorems on substantiates for differential equations with maxima are established. Manuscript profile -
Open Access Article
45 - Comparing Numerical Methods for the Solution of the Damped Forced Oscillator Problem
ع.ر وحیدی ق. اسدی کردشولی ز. عظیم زادهIn this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this pr MoreIn this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply. Manuscript profile -
Open Access Article
46 - Integrating Case-Based Reasoning, Knowledge-Based Approach and TSP Algorithm for Minimum Tour Finding
حسین عرفانیImagine you have traveled to an unfamiliar city. Before you start your daily tour around the city, you need to know a good route. In Network Theory (NT), this is the traveling salesman problem (TSP). A dynamic programming algorithm is often used for solving this problem MoreImagine you have traveled to an unfamiliar city. Before you start your daily tour around the city, you need to know a good route. In Network Theory (NT), this is the traveling salesman problem (TSP). A dynamic programming algorithm is often used for solving this problem. However, when the road network of the city is very complicated and dense, which is usually the case, it will take too long for the algorithm to find the shortest path. Furthermore, in reality, things are not as simple as those stated in AT. For instance, the cost of travel for the same part of the city at different times may not be the same. In this project, we have integrated TSP algorithm with AI knowledge-based approach and case-based reasoning in solving the problem. With this integration, knowledge about the geographical information and past cases are used to help TSP algorithm in finding a solution. This approach dramatically reduces the computation time required for minimum tour finding. Manuscript profile -
Open Access Article
47 - Solving Nonlinear Klein-Gordon Equation with a Quadratic Nonlinear term using Homotopy Analysis Method
H. جعفری م. سعیدی م. عرب فیروزجاییIn this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method MoreIn this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple. Manuscript profile -
Open Access Article
48 - Application of Exp-function method to the (2 + 1)-dimensional Calogero Bogoyavlanskii Schiff equation.
Z. آیتی ج. بی آزارIn this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The f MoreIn this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applications are promising. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving Calogero Bogoyavlanskii Schiff equation. Manuscript profile -
Open Access Article
49 - Decomposition Method for Solving Fully Fuzzy Linear Systems
م. مصلح م. اوتادی A. خانمیرزاییIn this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every non MoreIn this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T. Manuscript profile -
Open Access Article
50 - The Application of Data Envelopment Analysis Methodology to Improve the Benchmarking Process in the EFQM Business Model
K. شاهرودیThis paper reports a survey and case study research outcomes on the application of Data Envelopment Analysis (DEA) to the ranking method of European Foundation for Quality Management (EFQM) Business Excellence Model in Iran’s Automotive Industry and improving benc MoreThis paper reports a survey and case study research outcomes on the application of Data Envelopment Analysis (DEA) to the ranking method of European Foundation for Quality Management (EFQM) Business Excellence Model in Iran’s Automotive Industry and improving benchmarking process after assessment. Following the global trend, the Iranian industry leaders have introduced the EFQM practice to their supply chain in order to improve the supply base competitiveness during the last four years. A question which is raises is whether the EFQM model can be combined with a mathematical model such as DEA in order to generate a new ranking method and develop or facilitate the benchmarking process. The developed model of this paper is simple. However, it provides some new and interesting insights. The paper assesses the usefulness and capability of the DEA technique to recognize a new scoring system in order to compare the classical ranking method and the EFQM business model. We used this method to identify meaningful exemplar companies for each criterion of the EFQM model then we designed a road map based on realistic targets in the criterion which have currently beenachieved by exemplar companies. The research indicates that the DEA approach is a reliable tool to analyze the latent knowledge of scores generated by conducting self- assessments. The Wilcoxon Rank Sum Test is used to compare two scores and the Test of Hypothesis reveals the meaningful relation between the EFQM and DEA new ranking methods. Finally, we drew a road map based on the benchmarking concept using the research results. Manuscript profile -
Open Access Article
51 - A Review on sequencing approaches for mixed-model just-in-time production system
Tanka Dhamala Shree KhadkaResearch interests have been focused on the concept of penalizing jobs both for being early and for being tardy because not only of modern competitive industrial challenges of providing a variety of products at a very low cost by smoothing productions but also of its in MoreResearch interests have been focused on the concept of penalizing jobs both for being early and for being tardy because not only of modern competitive industrial challenges of providing a variety of products at a very low cost by smoothing productions but also of its increasing and exciting computer applications. Here, sequencing approaches of the mixed- model just-in-time production systems is reviewed. In this note, realizing a need of critical review, a survey on the elegant mathematical models, methods and complexity of the mixed- model just-in-time sequencing problem with an insight into the existing analytical literature is given. The established research results together with open problems and possible extensions are presented. Manuscript profile -
Open Access Article
52 - The Full Averaging of Fuzzy Differential Inclusions
Natalia SkripnikIn this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. These results generalize the results of [17, 20] for differential inclusions with Hukuhara derivative and of [18] for fuzzy differential equations.In this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. These results generalize the results of [17, 20] for differential inclusions with Hukuhara derivative and of [18] for fuzzy differential equations. Manuscript profile -
Open Access Article
53 - A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers
A. Kumar A. Bansal A. NeetuDifferent methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non MoreDifferent methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non-negative solution of a FFLSwithout any restriction on the coefficient matrix. In this paper a newcomputational method is proposed to solve FFLS without any restriction on thecoefficient matrix by representing all the parameters as trapezoidal fuzzynumbers. Manuscript profile -
Open Access Article
54 - Convex Surface Visualization Using Rational Bi- cubic Function
Malik Zawwar Hussain Fareeha Saadia Maria HussainThe rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are deri MoreThe rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are derived on four of these parameters to visualize the shape of convex surface data while other two are free to refine the shape of surface at user choice. The developed constraints on parameters act as sufficient conditions for visualization of convex surface data. Moreover, computationally simple and less time consuming as compared to exiting techniques. Manuscript profile -
Open Access Article
55 - Canonical representation for approximating solution of fuzzy polynomial equations
م. صالح نزاد س. عباس بندی م. مصلح م. اوتادیIn this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based MoreIn this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness. Manuscript profile -
Open Access Article
56 - An epidemic model for the transmission dynamics of HIV/AIDS with different clinical stages
Sandip OmarIn this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of HIV/AIDS within a population of varying size. In writing the model, we have divided the population under consideration into five sub classes of susceptible, infective MoreIn this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of HIV/AIDS within a population of varying size. In writing the model, we have divided the population under consideration into five sub classes of susceptible, infective, pre-AIDS, AIDS related complex and that of AIDS patients. The model has two non- negative equilibria namely, a disease free and the endemic equilibrium. The model has been studied using stability theory. It is shown that the positive non-trivial equilibrium is always locally stable but it may become globally stable under certain condition showing that the disease becomes endemic due to constant migration of the population into the habitat. The effect of various parameters on the spread of the disease has also been discussed. Manuscript profile -
Open Access Article
57 - Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation
Iyaya Wanjalan this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as co Moren this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem. Manuscript profile -
Open Access Article
58 - On Bottleneck Product Rate Variation Problem with Batching
Shree Khadka Tanka DhamalaThe product rate variation problem minimizes the variation in the rate at which different models of a common base product are produced on the assembly lines with the assumption of negligible switch-over cost and unit processing time for each copy of each model. The assu MoreThe product rate variation problem minimizes the variation in the rate at which different models of a common base product are produced on the assembly lines with the assumption of negligible switch-over cost and unit processing time for each copy of each model. The assumption of significant setup and arbitrary processing times forces the problem to be a two phase problem. The first phase determines the size and the number of batches and the second one sequences the batches of models.In this paper, the bottleneck case i.e. the min-max case of the problem with a generalized objective function is formulated. A Pareto optimal solution is proposed and a relation between optimal sequences for the problem with different objective functions is investigated. Manuscript profile -
Open Access Article
59 - Mapping Sequence diagram in Fuzzy UML to Fuzzy Petri Net
E. اکبری ر. نوریان توکلی H. موتمنیThis ability in fuzzy UML, practically leaves the customers and market’s need without response in this important and vital area. Here, the available sequence diagrams in fuzzy UML will map into fuzzy Petri net. However, the formal models ability will be added to t MoreThis ability in fuzzy UML, practically leaves the customers and market’s need without response in this important and vital area. Here, the available sequence diagrams in fuzzy UML will map into fuzzy Petri net. However, the formal models ability will be added to the Semi-formal fuzzy UML. This formalization will add the automatic processing ability to the Semi-formal fuzzy UML. Further more, the other advantages of this mapping is: access to non-functional parameters such as reliability automatically to the considering systems, study the verification of the designed plan and also decrease the expenses because of satiety to make lab sample before its implementation. Using the fuzzy UML mapping into fuzzy Petri net in control, critical and real-time systems will be more applicable. Manuscript profile -
Open Access Article
60 - On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent
Andrej Plotnikov Tatyana Komleva Lilia PlotnikovaIn this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist. Manuscript profile -
Open Access Article
61 - Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method
H. صابری نیک S. عفتی ر. بوژآبادیIn this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The homotopy analysis method (HAM) is used for solving th MoreIn this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The homotopy analysis method (HAM) is used for solving this equation. Several examples are given to reconfirm the efficiency of these algorithms. The results of applying this procedure to the integro-differential equation with time-periodic coefficients show the high accuracy, simplicity and efficiency of this method. Manuscript profile -
Open Access Article
62 - A new method for ordering triangular fuzzy numbers
س. ح. ناصری S. MizunoRanking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the conv MoreRanking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy sets, centroid point and original point, and also weighted mean value. In this paper, we introduce a new method for ranking triangular fuzzy number to overcome the shortcomings of the previous techniques. Finally, we compare our method with some convenient methods for ranking fuzzy numbers to illustrate the advantage our method. Manuscript profile