A Chance-Constrained DEA Model with Random Input and Output Data:Considering Maintenance Groups of Iranian Aluminum Company

محورهای موضوعی : Applied Mathematics

Mohammad Izadikhah ¹ (Department of Mathematics, College of Science, Arak-Branch, Islamic Azad University, Arak, Iran)
Mohammad Ehsanifar ² (Department of Industrial engineering, Arak Branch, Islamic Azad University, Arak, Iran)
Saman Malekian ³ (Department of Industrial engineering, Arak Branch, Islamic Azad University, Arak, Iran)

تاریخ دریافت : 1396/03/25 تاریخ پذیرش : 1396/10/18 تاریخ انتشار : 1397/02/11

کلید واژه: Data envelopment analysis, Chance constraints, Random variables, Quadratic constraints, Super-efficiency,

چکیده مقاله :

In this paper, we use an input oriented chance-constrained DEA model withrandom inputs and outputs. A super-eciency model with chance constraintsis used for ranking. However, for convenience in calculations a non-linear deterministicequivalent model is obtained to solve the models. The non-linearmodel is converted into a model with quadratic constraints to solve the nonlineardeterministic model. Finally, data related to twenty-eight maintenancegroups of Iranian Aluminum Company (IRALCO) is used to demonstrate theapplicability of the used Models in this paper.

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