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Target setting in the general combined-oriented CCR model using an interactive MOLP method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2010年第1期234卷 1-9页

作者： Lotfi, F. Hosseinzadeh Jahanshahloo, G. R. Ebrahimnejad, A. Soltanifar, M. Mansourzadeh, S. M. Islamic Azad Univ Sci & Res Branch Dept Math Tehran Iran Islamic Azad Univ Semnan Branch Semnan Iran

The traditional data envelopment analysis (DEA) model does not include a decision maker's (DM) preference structure while measuring relative efficiency, with no or minimal input from the DM. To incorporate DM's preference information in DEA, various techniques have been proposed. An interesting method to incorporate preference information, without necessary prior judgment, is the use of an interactive decision making technique that encompasses both DEA and multi-objective linear programming (MOLP). In this paper, we will use Zionts-Wallenius (Z-W) method to reflecting the DM's preferences in the process of assessing efficiency in the general combined-oriented CCR model. A case study will conducted to illustrate how combined-oriented efficiency analysis can be conducted using the MOLP method. (C) 2009 Elsevier B.V. All rights reserved.

关键词： Data envelopment analysis Combined-oriented CCR model multiple objective linear programming Min-Ordering method Interactive multi-objective programming

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Fuzzy analytic hierarchy process and targeting for inter-plant chilled and cooling water network synthesis

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JOURNAL OF CLEANER PRODUCTION 2016年 110卷 40-53页

作者： Leong, Yik Teeng Tan, Raymond R. Aviso, Kathleen B. Chew, Irene Mei Leng Monash Univ Malaysia Sch Engn Bandar Sunway 46150 Selangor Malaysia De La Salle Univ Ctr Engn & Sustainable Dev Res Manila 1004 Philippines

In recent years, the concept of industrial symbiosis (IS) has led to improvements in resource efficiency that may not be possible with individual industrial plants acting independently. One specific aspect is to achieve economies of scale by having multiple companies located in close proximity in order to share common utilities, such as chilled and cooling water. Together, these industrial plants may form an inter-plant chilled and cooling water network (IPCCWN) to achieve greater overall cost savings. Some issues faced by an IPCCWN include network reliability problems due to the consistency of sources' availability, and cost savings allocations for IPCCWN synthesis due to the subjectivity of human preference on decision making. Thus, there exists a need for a decision-making tool to determine a feasible solution that will satisfy all industrial plants in the IPCCWN. In this work, a multi-objective linear programming model is developed to synthesize IPCCWN that achieves maximum cost savings. Next, a Pareto optimal solution is selected using fuzzy analytic hierarchy process (FAHP) approach. This solution gives the best balance of performance for a set of pre-defined qualitative and quantitative criteria, which is able to account for subjectivity that cannot be addressed from a purely mathematical programming standpoint. @ 2015 Elsevier Ltd. All rights reserved.

关键词： Eco-industrial park (EIP) Process integration multiple objective linear programming Fuzzy analytic hierarchy process (FAHP)

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A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2002年第1期139卷 26-41页

作者： Benson, HP Sun, E Univ Florida Dept Informat & Decis Sci Gainesville FL 32611 USA

Various computational difficulties arise in using decision set-based vector maximization methods to solve multiple objective linear programming problems. As a result, several researchers have begun to explore the possibility of solving these problems by examining subsets of their outcome sets, rather than of their decision sets. In this article, we present and validate a basic weight set decomposition approach for generating the set of all efficient extreme points in the outcome set of a multiple objective linear program. Based upon this approach, we then develop an algorithm, called the Weight Set Decomposition Algorithm, for generating this set. A sample problem is solved using this algorithm,and the main potential computational and practical advantages of the algorithm are indicated. (C) 2002 Elsevier Science B,V. All rights reserved.

关键词： multicriteria analysis multiple objective linear programming efficient point outcome set

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THE USE OF PARAMETRIC programming IN FUZZY linear-programming

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FUZZY SETS AND SYSTEMS 1983年第3期11卷 243-251页

作者： CHANAS, S Institute of Management Technical University Wrocław Poland

In this paper the possibility of the identification of a complete fuzzy decision (not only the maximizing alternative) in fuzzy linear programming by use of the parametric programming technique is presented. Also, it is shown that this fact can be useful in the Zimmermann approach to multiple objective linear programming. The presented remarks are illustrated by some numerical examples.

关键词： Fuzzy linear programming multiple objective linear programming Parametric programming

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Using Zionts-Wallenius method to improve estimate of value efficiency in DEA

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APPLIED MATHEMATICAL MODELLING 2011年第8期35卷 3769-3776页

作者： Zohrehbandian, M. Islamic Azad Univ Karaj Branch Dept Math Karaj Iran

Halme et al. [M. Halme, T. Joro, P. Korhonen, S. Salo, J. Wallenius, A value efficiency approach to incorporating preference information in data envelopment analysis, Management Science 45 (1) (1999) 103-115] proposed value efficiency analysis as an approach to incorporate preference information in Data Envelopment Analysis (DEA). In this paper, we develop some related concepts, and present a refinement to Halme et al.'s approach to measure value efficiency scores more precisely. For do this, we will introduce an MOLP model which its objective functions are input/output variables subject to the defining constraints of Production Possibility Set (PPS) of DEA models. Then by using the so-called Zionts-Wallenius method, we aid the Decision Maker (DM) in searching for the Most Preferred Solution (MPS) and generating input/output weights as the DM's underlying value structure about objective functions. Finally, value efficiency scores are calculated by comparing the inefficient units to units having the same value as the MPS. (C) 2011 Elsevier Inc. All rights reserved.

关键词： Data envelopment analysis Value efficiency Efficiency analysis multiple objective linear programming Value function

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A military reserve manpower planning model

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COMPUTERS & OPERATIONS RESEARCH 1999年第12期26卷 1231-1242页

作者： Reeves, GR Reid, RC Univ S Carolina Dept Management Sci Columbia SC 29208 USA Bowling Green State Univ Dept Accounting & MIS Bowling Green OH 43403 USA

A multiple objective model for manpower planning in a company sized, 100 person,military reserve unit was developed and tested. The model involves five objectives and consists of over 1150 decision variables and 650 constraints over a 12 month planning horizon. US Army Reserve officers were used as subjects in an experiment in which model solutions were generated interactively using two different solution procedures. One procedure asked subjects-to identify their most preferred solution from a set of candidate solutions at each stage of the interactive process, while the other procedure asked subjects to identify their least preferred solution.

关键词： manpower planning multiple objective linear programming

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An interactive MOLP method for identifying target units in output-oriented DEA models: The NATO enlargement problem

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MEASUREMENT 2014年第1期52卷 124-134页

作者： Ebrahimnejad, Ali Tavana, Madjid Islamic Azad Univ Dept Math Qaemshahr Branch Qaemshahr Iran La Salle Univ Lindback Distinguished Chair Informat Syst & Deci Business Syst & Analyt Dept Philadelphia PA 19141 USA Univ Paderborn Fac Business Adm & Econ Business Informat Syst Dept D-33098 Paderborn Germany

Data Envelopment Analysis (DEA) is a mathematical programming technique for identifying efficient Decision Making Units (DMUs) with multiple inputs and multiple outputs. DEA provides a technical efficiency score for each DMU, a technical efficiency reference set with peer DMUs, and a target for the inefficient DMU. The target unit informs the Decision Maker (DM) of the amount (%) by which an inefficient DMU should decrease its inputs and/ or increase its outputs to become efficient. However, the conventional DEA models generally do not consider the DM's preference structure in identifying the target units. Several equivalence models between the output-oriented DEA and multiple objective linear programming (MOLP) models have been proposed in the literature to take the DMs' preferences into consideration. However, these models are not able to identify target units when undesirable outputs are produced with desirable outputs in the production process. In this study we obtain a new link between a BCC model and the weighted minimax reference point of the MOLP formulation that simultaneously and interactively considers the increase in the total desirable outputs and the decrease in the total undesirable outputs. We present a pilot study for the North Atlantic Treaty Organization (NATO) enlargement problem to demonstrate the applicability of the proposed method and exhibit the efficacy of the procedures and algorithms. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Data envelopment analysis Target unit Undesirable output multiple objective linear programming Minimax method

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Improving information reliability of non-radial value efficiency analysis: An additive slacks based measure approach

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2022年第3期298卷 967-978页

作者： Gerami, Javad Mozaffari, Mohammad Reza Wanke, Peter F. Correa, Henrique L. Islamic Azad Univ Dept Math Shiraz Branch Shiraz Iran Univ Fed Rio de Janeiro COPPEAD Grad Business Sch Rua Paschoal Lemme 355 Rio De Brazil Rollins Coll Crummer Sch Business Winter Pk FL 32789 USA

The value efficiency approach is one possible way of incorporating information preferences into performance analysis of Decision-Making Units (DMUs). In this paper, we propose a novel geometric interpretation of value efficiency while plugging it into radial and non-radial DEA (Data Envelopment Analysis) models under the assumption of variable returns to scale. In addition, this novel geometric interpretation of value efficiency is extended to Additive Slacks-Based Measure (ASBM) modeling. This is achieved by linearization of non-radial DEA models using multi-objective programming. Performance of such proposed approaches in terms of reliability and discriminatory power are compared through a case study involving Finish bank branches. Research implications are then derived and conclusions are drawn. (c) 2021 Elsevier B.V. All rights reserved.

关键词： Data envelopment analysis Value efficiency Additive slacks-based measure multiple objective linear programming Non-radial

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Finding DEA-efficient hyperplanes using MOLP efficient faces

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2011年第5期235卷 1227-1231页

作者： Lotfi, F. Hosseinzadeh Jahanshahloo, G. R. Mozaffari, M. R. Gerami, J. Islamic Azad Univ Sci & Res Branch Dept Math Fars Iran Tarbiat Moallem Univ Dept Math Tehran Iran Islamic Azad Univ Sci & Res Branch Dept Math Tehran Iran

This paper suggests a method for finding efficient hyperplanes with variable returns to scale the technology in data envelopment analysis (DEA) by using the multiple objective linear programming (MOLP) structure. By presenting an MOLP problem for finding the gradient of efficient hyperplanes, We characterize the efficient faces. Thus, without finding the extreme efficient points of the MOLP problem and only by identifying the efficient faces of the MOLP problem, we characterize the efficient hyperplanes which make up the DEA efficient frontier. Finally, we provide an algorithm for finding the efficient supporting hyperplanes and efficient defining hyperplanes, which uses only one linear programming problem. Published by Elsevier B.V.

关键词： Data envelopment analysis multiple objective linear programming linear programming

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Integrated efficiency and trade-off analyses using a DEA-oriented interactive minimax reference point approach

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COMPUTERS & OPERATIONS RESEARCH 2012年第5期39卷 1062-1073页

作者： Yang, Jian-Bo Xu, Dong-Ling Yang, Shanlin Univ Manchester Manchester Business Sch Manchester M15 6PB Lancs England Hefei Univ Technol Sch Management Hefei 230009 Peoples R China

A DEA-oriented Interactive Minimax Reference Point (DEA-IMRP) approach was recently developed to support integrated performance assessment and target setting for consistent management control and planning. To conduct the Integrated Efficiency and Trade-off (JET) analyses using the DEA-IMRP approach, it is important to understand the characteristics of the efficiency frontier and interactive trade-off analysis process. In this paper, the features of the IET analyses are investigated in detail. Graphical and analytical methods and procedures are explored for generating and analysing data envelopes and efficient frontiers for multiple input and multiple output DEA models using the DEA-IMRP approach. This computational investigation generates useful insights into the JET analyses and leads to the definition of new efficiency measures, which are instrumental to help conduct trade-off analysis for setting realistic performance targets. A numerical example is studied to illustrate the findings graphically. A case study for UK retail banks is conducted using the new methods and procedures investigated in this paper. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Data envelopment analysis multiple objective linear programming Minimax method Efficient frontier Performance assessment

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