فهرس المقالات Inverse DEA

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  1 - Using Multi-Objective Linear Programming (MOLP) and Data Envelopment Analysis (DEA) models in Non-discretionary Performance Measurement
  Sahar Khoshfetrat Mojtaba Ghiyasi
  Inverse DEA (InvDEA) models put one step forward, in contrast with the DEA models by estimating required input level for producing a perturbed output level with the current efficiency status. In many real world applications, decision-makers face non-discretionary factor أکثر

  Inverse DEA (InvDEA) models put one step forward, in contrast with the DEA models by estimating required input level for producing a perturbed output level with the current efficiency status. In many real world applications, decision-makers face non-discretionary factors which can be hardly controlled by the Decision Making Units (DMUs). However, these types of factor are not dealt in the inverse DEA problems. Thus, the current covers the research methodological gap of the literature by developing mathematical foundation of the InDEA models capable of dealing with non-discretionary factors. To do this end, an MOLP model along with its required constraints is developed to be linked with the developed models. A numerical example and a real-world case study are provided to illustrate the proposed models and demonstrate their applicability and validity for the real world problems. تفاصيل المقالة
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  2 - Input Estimation in Two-Stage Systems with Undesirable Outputs Based on Cost Efficiency
  Zahra Shiri Daryani Shabnam Razavyan
  10.30495/ijdea.2022.68962.1179
  In the Inverse Data Envelopment Analysis (InvDEA) models, inputs and outputs of Decision Making Units (DMUs) are estimated while their relative efficiency scores remain unchanged. But, in some cases, the inputs cost information is available. This paper uses the inputs c أکثر

  In the Inverse Data Envelopment Analysis (InvDEA) models, inputs and outputs of Decision Making Units (DMUs) are estimated while their relative efficiency scores remain unchanged. But, in some cases, the inputs cost information is available. This paper uses the inputs cost information and generalized the InvDEA concept in two-stage network structures with undesirable output in the second stage. To this end, it proposes a four-stage method to deal with the InvDEA concept for estimating the inputs of the DMUs with a two-stage network structure method, while the allocative efficiency scores of all units remain stable. Eventually, an empirical example is presented to illustrate the capability of the presented method. تفاصيل المقالة
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  3 - Detect and Eliminate Congestion of the Intermediate Products in Supply Chain
  E. Mollaeian M. Rostamy-Malkhalifeh
  Data envelopment analysis (DEA) is a nonparametric technique that includes models to evaluate the relative efficiency of Decision Making Units (DMUs). It has the ability to separate efficient units and inefficient units. One of the applications of this mathematical tech أکثر

  Data envelopment analysis (DEA) is a nonparametric technique that includes models to evaluate the relative efficiency of Decision Making Units (DMUs). It has the ability to separate efficient units and inefficient units. One of the applications of this mathematical technique is evaluating performance of supply chain. According to such as the inefficiency factors of one DMU, is existence congestion in its inputs and with regard to the economic concept of congestion that is widely visible in the most phenomenon, therefore, cannot ignore its presence in supply chain. In this paper, at first a network DEA model is noted to evaluate the performance of supply chain. Then according to the important role of intermediate products in supply chain, the existence of congestion in this product is investigated, finally, an Inverse DEA model is introduced in order to overcome the problems caused by congestion. So that the amount required input for providing the desired intermediate product can be estimated by that. In this case, no congestion will occur in intermediate products. Finally for improving the efficiency of this unit with new intermediate products an inverse DEA model is proposed. تفاصيل المقالة
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  4 - Inverse DEA Using Enhanced Russell Measure in the Presence of Fuzzy Data
  S. Ghobadi
  The present study deals with the inverse DEA using the non-radial Enhanced Russell (ER)-measure in the presence of fuzzy data. This paper proposes a technique to treat the fuzzy data in the problem of simultaneous estimation of input-output levels. Necessary and suffici أکثر

  The present study deals with the inverse DEA using the non-radial Enhanced Russell (ER)-measure in the presence of fuzzy data. This paper proposes a technique to treat the fuzzy data in the problem of simultaneous estimation of input-output levels. Necessary and sufficient conditions are provided for ER-measure maintaining in the presence of fuzzy data. A numerical example with real data is presented to show the accuracy of the proposed method. تفاصيل المقالة
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  5 - Congestion-Based Benchmarking and Accessing Sustainability in Network DEA, Case study: Nine Iranian ‎T‎omato Paste Supply Chains‎
  E. Mollaeian Farhad Hosseinzade Lotfi A. Toloie-Eshlaghy M. Rostamy Malkhalifeh M. A. Afshar Kazemi
  10.30495/ijim.2021.18999
  This paper deals with benchmarking for a three-stage DMU. After investigating and eliminating congestion, adjustment of intermediate products and initial inputs have achieved by utilizing an Inverse DEA model, which dominates the current vectors and serve as a benchmark أکثر

  This paper deals with benchmarking for a three-stage DMU. After investigating and eliminating congestion, adjustment of intermediate products and initial inputs have achieved by utilizing an Inverse DEA model, which dominates the current vectors and serve as a benchmark that is to the best of this paper knowledge. This process has two cases. First, the overall efficiency stays fixed, and the second case, is corresponded to the overall efficiency ‎improvement.‎ تفاصيل المقالة
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  6 - An Inverse Dynamic FDH Approach to Estimate Outputs
  F. Asadi S. Kordrostami AR. Amirteimoori M. Bazrafshan
  In many situations, the performance and the changes of outputs related to dynamic systems should be estimated while the convexity property is relaxed. Accordingly, first, a dynamic free disposal hull (FDH) model is proposed in this paper to address the efficiency of pro أکثر

  In many situations, the performance and the changes of outputs related to dynamic systems should be estimated while the convexity property is relaxed. Accordingly, first, a dynamic free disposal hull (FDH) model is proposed in this paper to address the efficiency of processes in multiple period of time while the convexity assumption is unsatisfied. Also, two problems, including a mixed integer linear programming and a linear programming model are provided to compute the dynamic FDH model that is a mixed integer non-linear programming problem. Then the changes of multi-period outputs are dealt with for changes of inputs related to several periods using the proposed inverse dynamic FDH model while the efficiency levels are preserved. A case study of gas industry is, moreover, presented to demonstrate the introduced models. The results show the proposed technique is useful to analyze the performance and to estimate outputs in dynamic processes without including convexity. تفاصيل المقالة
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  7 - An Inverse Two-Stage FDH Model in the Presence of Shared Resources
  F. Asadi S. Kordrostami AR. Amirteimoori M. Bazrafshan
  10.30495/ijim.2022.65675.1575
  In this research, two-stage networks are considered in which there are common resources between both stages. Also, there are links between the first and second stages that are undesirable for the first stage. Two models are rendered, the first is a model for calculating أکثر

  In this research, two-stage networks are considered in which there are common resources between both stages. Also, there are links between the first and second stages that are undesirable for the first stage. Two models are rendered, the first is a model for calculating the efficiency of the mentioned two-stage processes under the non-convex technology and the second model is an inverse model for calculating output values through input changes. The changes are such that efficiency values remain constant. Actually, at first, a non-radial network free disposal hull (FDH) model is planned to evaluate the entire and stage efficiencies of two-stage processes with shared resources. The introduced framework is a mixed integer nonlinear programming plan and is computed using a heuristic approach. Then, an inverse two-stage FDH approach is presented to determine outputs related to two stages for perturbing inputs of each stage while the efficiency values remain unchanged. To clarify the proposed models, an application from the literature is used. تفاصيل المقالة
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  8 - 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 أکثر

  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. تفاصيل المقالة
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  9 - Merging DMUs Based on of the idea Inverse DEA
  الهه زین الدین سعید قبادی
  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 أکثر

  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. تفاصيل المقالة
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  10 - 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 أکثر

  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. تفاصيل المقالة
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  11 - 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. تفاصيل المقالة