On inverse data envelopment analysis under weight restrictions

Subject Areas : Operations Research

Mehrab Esmaeili ¹ (Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.)

Received: 2022-07-28 Accepted : 2022-10-04 Published : 2024-06-15

Keywords: Multi-objective linear programming, Pareto solution, Inverse problem, Sensitivity,

Abstract :

In this paper we discuss the inverse data envelopment analysis(DEA) under weight restrictions. For this task we answer suchquestions: In a system of decision making units (DMUs) underevaluation, in the presence of weight restrictions, if a unitchanges some of its input (output) levels, to what extent shouldthe unit change outputs (inputs) such that its efficiency indexremains unchanged? We treat them as inverse data envelopmentanalysis problems under weight restrictions and propose a methodto answer such questions based on data envelopment analysis andmulti-objective linear programming (MOLP).