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

Theory of Approximation and Applications

مقاله 2، دوره 12، شماره 1، مرداد 2018، صفحه 11-27   

نوع مقاله: Research Articles

نویسندگان

Mohammad Izadikhah^{* 1}؛ Mohammad Ehsanifar²؛ Saman Malekian²

¹Department of Mathematics, College of Science, Arak-Branch, Islamic Azad University, Arak, Iran

²Department of Industrial engineering, Arak Branch, Islamic Azad University, Arak, Iran

چکیده

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

کلیدواژه‌ها

Data envelopment analysis؛ Chance constraints؛ Random variables؛ Quadratic constraints؛ Super-efficiency

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