Centralized Resource Allocation with MOLP Structure

R  Shamsi; G  R  Jahanshahloo; M  R  Mozaffari   and F  Hosseinzadeh Lotfi

doi:10.17485/ijst/2014/v7i9.25

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Centralized Resource Allocation with MOLP Structure

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7i9.25

Year: 2014, Volume: 7, Issue: 9, Pages: 1297-1306

Original Article

Centralized Resource Allocation with MOLP Structure

R. Shamsi^1*, G. R. Jahanshahloo1 , M. R. Mozaffari² and F. Hosseinzadeh Lotfi¹

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran; [email protected], [email protected], [email protected]
2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Fars, Iran; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In Data Envelopment Analysis (DEA), in addition to the efficiency score, the projection of inefficient Decision Making Units (DMUs) is also determined. In this paper, a model is proposed by using Centralized Resource Allocation (CRA) and Multi Objective Linear Programming (MOLP). In order to solve the proposed Multi objective model, we use the entropy and Z-W methods and obtain the projection of inefficient DMUs. The advantage of the proposed model, in addition to employing interactive methods, is that by solving one model instead of n models; the projection is obtained for all DMUs, which is closer to reality and more practical. Finally, a numerical example and an application are provided and the interactive and entropy methods are utilized.

Keywords: DEA, Entropy, MOLP, Z-W