Cone ratio data envelopment analysis and multi-objective programming

A new 'cone ratio' data envelopment analysis (DEA) model that substantially generalizes the Charnes-Cooper-Rhodes (CCR) model and the Charnes-Cooper-Thrall approach characterizing its efficiency classes is developed and studied. It allows for infinitely many decision-making units (DM Us) a...

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Bibliographic Details
Published in:International journal of systems science 1989-07, Vol.20 (7), p.1099-1118
Main Authors: CHARNES, A., COOPER, W. W., WEI, Q. L., HUANG, Z. M.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Optimization. Search problems
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Summary:A new 'cone ratio' data envelopment analysis (DEA) model that substantially generalizes the Charnes-Cooper-Rhodes (CCR) model and the Charnes-Cooper-Thrall approach characterizing its efficiency classes is developed and studied. It allows for infinitely many decision-making units (DM Us) and arbitrary closed convex cones for the virtual multipliers as well as the cone of positivily of the vectors involved. Generalizations of linear programming and polar cone equalizations arc the analytical vehicles employed.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207728908910197