Sensitivity of efficiency classifications in the additive model of data envelopment analysis

In contrast to existing sufficient conditions for preservation of efficiency under special perturbations and matrix structural assumptions, sensitivity of the additive model's classifications in data envelopment analysis (DEA) is investigated by means of new DEA formulations focusing on the sta...

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Bibliographic Details
Published in:International journal of systems science 1992-05, Vol.23 (5), p.789-798
Main Authors: CHARNES, A., HAAG, S., JASKA, P., SEMPLE, J.
Format: Article
Language:English
Subjects:
Applied sciences
Decision theory. Utility theory
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
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Summary:In contrast to existing sufficient conditions for preservation of efficiency under special perturbations and matrix structural assumptions, sensitivity of the additive model's classifications in data envelopment analysis (DEA) is investigated by means of new DEA formulations focusing on the stability (sensitivity) of an organization's classification (whether efficient or inefficient). The formulations for the additive model are linear programming problems whose solutions yield a particular region of stability, a 'cell', in which an organization's classification remains unchanged. The largest such cell can always be easily computed for each organization and additionally theoretically characterized simply as optimal solutions of particular linear programming problems.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207729208949248