Developing a New Theory of Integer-Valued Data Envelopment Analysis for Supplier Selection in the Presence of Stochastic Data

Majid Azadi and Reza Farzipoor Saen
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Majid Azadi: Department of Industrial Management, Karaj Branch, Islamic Azad University, Karaj, Iran
Reza Farzipoor Saen: Department of Industrial Management, Karaj Branch, Islamic Azad University, Karaj, Iran

International Journal of Information Systems and Supply Chain Management (IJISSCM), 2014, vol. 7, issue 3, 80-103

Abstract: Supplier selection has a strategic importance for every company. Hybrid integer data is one of the models in data envelopment analysis (DEA). In many real world applications, data are often stochastic. A successful approach to address uncertainty in data is to replace deterministic data via random variables, leading to chance-constrained DEA. In this paper, a chance-constrained hybrid integer data envelopment analysis (CCHIDEA) model is developed and also its deterministic equivalent which is a nonlinear program is derived. Furthermore, it is shown that the deterministic equivalent of the CCHIDEA model can be converted into a quadratic program. In addition, sensitivity analysis of the CCHIDEA model is discussed with respect to changes on parameters. Finally, a case study demonstrates the application of the proposed model.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jisscm:v:7:y:2014:i:3:p:80-103

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