A Linear Programming Relaxation DEA Model for Selecting a Single Efficient Unit with Variable RTS Technology

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2021-01-01 DOI:10.17535/crorr.2021.0011

Reza Akhlaghi, M. Rostamy-Malkhalifeh, A. Amirteimoori, S. Kordrostami

引用次数: 0

Abstract

The selection-based problem is a type of decision-making issue which involves opting for a single option among a set of available alternatives. In order to address the selection-based problem in data envelopment analysis (DEA), various integrated mixed binary linear programming (MBLP) models have been developed. Recently, an MBLP model has been proposed to select a unit in DEA with variable returns-to-scale technology. This paper suggests utilizing the linear programming relaxation model rather than the MBLP model. The MBLP model is proved here to be equivalent to its linear programming relaxation problem. To the best of the authors’ knowledge, this is the first linear programming model suggested for selecting a single efficient unit in DEA under the VRS (Variable Returns to Scale) assumption. Two theorems and a numerical example are provided to validate the proposed LP model from both theoretical and practical perspectives.

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可变RTS技术下单有效单元选择的线性规划松弛DEA模型

基于选择的问题是一种决策问题，涉及在一组可用的选项中选择一个选项。为了解决数据包络分析(DEA)中基于选择的问题，人们开发了各种集成混合二元线性规划(MBLP)模型。近年来，提出了一种MBLP模型来选择具有变收益规模比技术的DEA中的单位。本文建议采用线性规划松弛模型代替MBLP模型。这里证明了MBLP模型等价于它的线性规划松弛问题。据作者所知，这是第一个在VRS(可变规模收益)假设下选择DEA中单个有效单元的线性规划模型。给出了两个定理和一个数值算例，从理论和实践的角度验证了所提出的LP模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.