Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks

doi:10.1016/0304-4076(90)90048-X

Journal of Econometrics

Volume 46, Issues 1–2, October–November 1990, Pages 73-91

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Abstract

Polyhedral Cone-Ratio Data Envelopment Analysis Models generalizing the CCR Ratio Model are developed for situations with a finite number of DMUs and employing polyhedral cones of virtual multipliers. They provide improved definitions of efficiency over CCR models whose input-output data and/or numbers of DMUs are inadequate to capture aspects or restrictions which should be involved. The focus here is on the sum form for cones which easily provides for capturing exogenous expert opinion as well as mathematical reduction to the old form with its very powerful software. Transformation from the usual intersection form to it and vice versa is explicitly given. Thereby the advantages of either or both are available. The theory is illustrated with two-dimensional examples and by real banking examples for motivation.

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^☆: This research was partly supported by National Science Foundation Grant SES-8520806 with the Center for Cybernetic Studies, University of Texas at Austin. It was also partly supported by the IC2 Institute at The University of Texas. Reproduction in whole or in part is permitted for any purpose of the United States Government.

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Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks☆

Abstract

Journal of Econometrics

European Journal of Operations Research

Operations Research Letters

Evaluation of educational proposals by means of DEA

Educational Administration Quarterly

Duality and asymptotic solvability over cones

Bulletin of American Mathematical Society

Preface to topics in data envelopment analysis

Annals of Operations Research

Data analysis approaches to policy evaluation and management of Army recruiting activities I: Tradeoffs between joint services and Army advertising

Relations between half-space and finitely generated cones in polyhedral cone-ratio DEA models

Data envelopment analysis as an approach for evaluating program and managerial efficiency - with an illustrative application to the program follow thr ough experiment in U.S. public school education

Management Science