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

Author(s):

S. Mehrabian

Abstract:
The role of non-Archimedean  in the DEA models has been clarified, so that the associated linear programs can be infeasible (for the multiplier side) and unbounded (for the envelopment side) with an unsuitable choice of  . This paper shows that the overall assurance 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 of DMUs.
Keywords:

Data Envelopment Analysis (DEA) , Non , Archimedean Infinitesimal , Extreme Directions

Language:
English
Published:
New research in Mathematics, Volume:1 Issue: 2, Summer 2015
Pages:
13 to 20
https://www.magiran.com/p1617029  
سامانه نویسندگان
  • Mehrabian، Saeid
    Author
    Mehrabian, Saeid
    Assistant Professor Applied Mathematics, Department of Mathematics, Faculty of Mathematical Science and Computer, Kharazmi University, تهران, Iran
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