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Centralized Resource Allocation with Molp Structure


Affiliations
1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Fars, Iran, Islamic Republic of
 

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
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  • Centralized Resource Allocation with Molp Structure

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Authors

R. Shamsi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
G. R. Jahanshahloo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
M. R. Mozaffari
Department of Mathematics, Science and Research Branch, Islamic Azad University, Fars, Iran, Islamic Republic of
F. Hosseinzadeh Lotfi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of

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



DOI: https://doi.org/10.17485/ijst%2F2014%2Fv7i9%2F59468