Measurement of Inefficiency Slacks in Network Data Envelopment Analysis
Subject Areas : Applied Mathematics
حسین عزیزی
1
,
علیرضا امیرتیموری
2
,
سهراب کردرستمی
3
1 - گروه ریاضی، واحد پارسآباد مغان، دانشگاه آزاد اسلامی، پارسآباد مغان، ایران
2 - گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران
3 - گروه ریاضی، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران
Keywords: optimistic and pessimistic viewpoints, inefficiency slacks, Data envelopment analysis, series systems, &lrm, overall performance,
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.
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