A Bounded Additive Model for Efficiency Evaluation in Two-Stage Production Systems With Negative Data

Iranian Journal of Optimization

دوره 14، شماره 1، خرداد 2022، صفحه 15-25   

نوع مقاله: Research Paper

نویسندگان

Hamidreza Babaie Asil¹؛ Reza Kazemi matin^{* 2}؛ Mohsen Khounsiavash¹؛ Zohreh Moghaddas¹

¹Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran

²Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

چکیده

Data Envelopment Analysis (DEA) is a method for assessing the efficiency of Decision Making Units (DMUs). Traditional DEA models do not examine the potential differences between two stages caused by intermediate operations. As a result, DEA has been extended to evaluate the efficiency of two-stage processes. In these processes, all outputs of the first stage are intermediate operations that comprise the inputs of the second stage. The input data in real-world applications may have negative values. In this study, considering the importance of network production processes, we deal with the efficiency evaluation of two-stage production units with negative data. Also, we extend CRS (constant returns to scale) bounded additive model for the efficiency evaluation of the two-stage units in the presence of negative data. For illustration, we evaluate the efficiency and ranking of 36 airlines by applying the new model.

کلیدواژه‌ها

Data Envelopment Analysis (DEA)؛ Negative data؛ Two-stage systems؛ Efficiency؛ Additive models

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