An assurance interval for the non-Archimedean epsilon in DEA models
成果类型：
Article
署名作者：
Mehrabian, S; Jahanshahloo, GR; Alirezaee, MR; Amin, GR
署名单位：
Islamic Azad University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.48.2.344.12381
发表日期：
2000
页码：
344-347
关键词：
摘要：
This paper clarifies the role of non-Archimedean infinitesimal epsilon in DEA models so that the associated linear programs may be infeasible (for the multiplier side) and unbounded (for the envelopment side) for certain values of epsilon. It is shown that the bound of epsilon proposed by Ali and Seiford (1993) is invalid for feasibility and boundedness of the linear programs. A procedure is presented for determining an assurance interval of epsilon. It is also shown that an assurance value for epsilon can be found using a single linear program.