Title: Selecting dispatching rule in manufacturing systems via DEA cross efficiency

Authors: Saba Sadeghi Gavgani; Majid Zohrehbandian; Nima Sadeghi

Addresses: Department of Mathematics, Sarab Branch, Islamic Azad University, P.O. Box 54716-376, Sarab, Iran ' Department of Mathematics, Karaj Branch, Islamic Azad University, P.O. Box 31485-313, Karaj, Iran ' Department of Material Engineering, Sahand University of Technology (SUT), New Sahand Town, P.O. Box 51335-1996, Tabriz, Iran

Abstract: Planning and scheduling techniques are the main concern of management of production systems, and the dispatching rules play an important role in scheduling industrial and production segments. In this regard, the correct selection of the facility dispatching rules in a production system is of great importance and selection of the best technique can improve the efficiency of the industrial segments. In this condition, a so called efficiency score can be identified for each dispatching rule according which the best can be chosen. Data envelopment analysis, as a scientific method, is used in evaluation of unit work but the classical models of that cannot present an overall work of the decision making units and in most cases it gives a specific score to more than one unit. As a result, the efficacy computed by this method cannot be suitable for ranking. Evaluation of cross efficiency is one of the suitable methods for ranking which has DEA ranking and, therefore the selection of the best units in different models would be a secondary goal. In this article, the cross efficiency method along with Liang et al. (2008) is used to select the best dispatching rule under secondary goal and a comparison is provided for the new and already used method.

Keywords: data envelopment analysis; DEA; cross efficiency; selection; ranking; decision making unit; DMU; secondary goal; linear programming; LP.

DOI: 10.1504/IJIDS.2017.084887

International Journal of Information and Decision Sciences, 2017 Vol.9 No.2, pp.168 - 178

Received: 22 Nov 2014
Accepted: 02 Aug 2015

Published online: 08 Jul 2017 *

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