Measurement of Inefficiency Slacks in Network Data Envelopment Analysis
Publish place: Theory of Approximation and Applications، Vol: 13، Issue: 1
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MSJI-13-1_004
تاریخ نمایه سازی: 28 فروردین 1402
Abstract:
The two-stage data envelopment analysis models show the performance of individual processes and thus, provide more information for decision-making compared with conventional one-stage models. This article presents a set of additive models (optimistic and pessimistic) to measure inefficiency slacks in which observations are shown with crisp numbers. In the concept of pessimistic efficiency, DMU with balanced input and output data can be scored as efficient. Since pessimistic efficiency represents the minimum efficiency that is guaranteed in any unfavorable conditions, the assessment based on this efficiency is in compliance with our natural meaning, especially in risk-averse situations. Therefore, pessimistic efficiency solely can play a useful role in the DMU ranking. However, it is not a good idea to ignore optimistic efficiency. Hence, it is an inevitable necessity to integrate different performance sizes in order to achieve an overall performance assessment for each DMU. An example of resin manufacturer companies in Iran is presented to explain how to calculate the system and process inefficiency slacks.
Keywords:
Data envelopment analysis , inefficiency slacks , series systems , optimistic and pessimistic viewpoints , overall performance
Authors
Hossein Azizi
Department of Applied Mathematics, Parsabad Moghan Branch, Islamic Azad University, Parsabad Moghan, Iran
Alireza Amirteimoori
Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
Sohrab Kordrostami
Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
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