COMPUTATIONAL ACCURACY AND INFINITESIMALS IN DATA ENVELOPMENT ANALYSIS

Authors
ALI AI SEIFORD LM
Citation
Ai. Ali et Lm. Seiford, COMPUTATIONAL ACCURACY AND INFINITESIMALS IN DATA ENVELOPMENT ANALYSIS, INFOR. Information systems and operational research, 31(4), 1993, pp. 290-297
Citations number
NO
Categorie Soggetti
Operatione Research & Management Science
Journal title
INFOR. Information systems and operational research → ACNP
ISSN journal
03155986
Volume
31
Issue
4
Year of publication
1993
Pages
290 - 297
Database
ISI
SICI code
0315-5986(1993)31:4<290:CAAIID>2.0.ZU;2-U
Abstract
The role of the non-Archimedean construct epsilon in the CCR and BCC m odels is clarified. It is established that the associated dual linear programs can be infeasible (for the multiplier side) and unbounded (fo r the associated dual envelopment side program). Sufficient conditions are established for feasibility and boundedness. Computational testin g indicates that improper selection of a value for epsilon can result in serious errors. The importance of the results for DEA practitioners and the serious consequences of misclassification are discussed.