Merging DMUs Based on of the idea Inverse DEA
Subject Areas : Data Envelopment Analysis
الهه زین الدین
1
(
گروه ریاضی واحد خمینی شهر دانشگاه آزاد اسلامی
)
سعید قبادی
2
(
دانشگاه آزاد اسلامی واحد خمینی شهر اصفهان
)
Keywords: Data Envelopment Analysis (DEA), Efficiency, Inverse DEA, Multiple-Objective Programming (MOP), Merging decision making units (DMUs),
Abstract :
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.