BILEVEL INTERVAL DATA ENVELOPMENT ANALYSIS: A BILEVEL PROGRAMMING APPROACH

A new bilevel interval Data Envelopment Analysis (DEA) model is proposed to evaluate the performance of a system in an uncertainty environment with a bilevel network structure with decentralized decisions, which consist of the objective of the leader at its first level and that is of the follower at the second level. Then a new algorithm is proposed to solve this problem using the dual theory and Karush-Kuhn-Tucker optimality conditions. The model is converted to some linear programming problems. Based on the optimal solutions of the problems, the interval cost efficiency is computed viewpoint of leader, follower, and system, respectively, for each decision making unit. Therefore, the decentralized companies can optimize their performance using multiple inputs to produce multiple outputs in a cost-effective way. It is necessary to remind that the previous studies for resolution of the bilevel programming problem change the nature of the problem by moving the upper level constraints involving the second variable into the lower level.

کلیدواژه ها:

Data envelopment analysis ، Cost efficiency ، Supply chain ، Bilevel programming ، Interval data ، Performance evaluation