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Journal of Applied Mathematics
Volume 2014, Article ID 974075, 12 pages
http://dx.doi.org/10.1155/2014/974075
Research Article

Centralized Resource Allocation for Connecting Radial and Nonradial Models

1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia
2Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia
3Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Received 21 October 2013; Revised 8 January 2014; Accepted 8 January 2014; Published 4 March 2014

Academic Editor: Aderemi Oluyinka Adewumi

Copyright © 2014 A. Mirsalehy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper examines an alternative approach to the centralized resource allocation model that indicates that all the units are under the control of an entity of the centralized decision maker. The proposed approach is a technique for connecting the two basic Radial CRA-BCC and Nonradial CRA-SBM models in an integrated structure called connected CRA-SBM. In the proposed model, exchanging the two parameter amounts can change the location of the analysis between the CRA-BCC and the CRA-SBM models and deal with the weaknesses inherent in such models. By remedying all the weaknesses in one model, the entire units are simply projected on the frontier line and one can obtain suitable benchmarks for each of them. In the offered model, all of the inputs and outputs, respectively, decrease and increase simultaneously. Lastly, numerical examples emphasize the significance of the offered method.