The Uniqueness of the Overall Assurance Interval for Epsilon in DEA Models by the Direction Method

Subject Areas : Statistics

S.  Mehrabian ¹ (Department of Mathematics, Faculty of Mathematical Science & Computer, Kharazmi University, Karaj, Iran)

Received: 2015-04-14 Accepted : 2015-12-16 Published : 2015-08-23

Keywords: تحلیل پوششی داده ها, غیرارشمیدسی بی نهایت کوچک, جهت های رأسی,

Abstract :

The role of non-Archimedean  in the DEA models has been clarified, so that the associatedlinear programs can be infeasible (for the multiplier side) and unbounded (for theenvelopment side) with an unsuitable choice of  . This paper shows that the overallassurance interval for  in DEA models is unique by the concept of extreme directions. Also,it presents an assurance value for  using only simple computations on inputs and outputs ofDMUs.

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