A Linear Programming DEA Model for Selecting a Single Efficient Unit
Publish place: International journal of industrial engineering and operational research، Vol: 1، Issue: 1
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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JR_BGS-1-1_006
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
In recent years, several mixed integer linear programming (MILP) models have been proposed for finding the most efficient decision-making unit (DMU) in data envelopment analysis. This paper introduces a new linear programming (LP) model to determine the most BCC-efficient decision-making unit. Unlike previous models, which are not convex, the new model is linear programming and so that it can be solved efficiently to discover the most efficient DMU. Moreover, it is mathematically proved that the new model identifies only a single BCC-efficient DMU by a common set of optimal weights. To show the applicability of the proposed model, a numerical example which contains a real data set of nineteen facility layout designs (FLDs) is used.In recent years, several mixed integer linear programming (MILP) models have been proposed for finding the most efficient decision-making unit (DMU) in data envelopment analysis. This paper introduces a new linear programming (LP) model to determine the most BCC-efficient decision-making unit. Unlike previous models, which are not convex, the new model is linear programming and so that it can be solved efficiently to discover the most efficient DMU. Moreover, it is mathematically proved that the new model identifies only a single BCC-efficient DMU by a common set of optimal weights. To show the applicability of the proposed model, a numerical example which contains a real data set of nineteen facility layout designs (FLDs) is used.
Authors
Reza Akhlaghi
Department of Applied Mathematics, Islamic Azad University, Rasht, Iran
Mohsen Rostamy-Malkhalifeh
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran