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William W. Cooper

Bio: William W. Cooper is an academic researcher from University of Texas at Austin. The author has contributed to research in topics: Data envelopment analysis & Linear programming. The author has an hindex of 79, co-authored 254 publications receiving 76641 citations. Previous affiliations of William W. Cooper include Harvard University & Carnegie Mellon University.


Papers
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Journal ArticleDOI
TL;DR: In this paper, a new approach for locating efficiency frontiers and evaluating the efficiency of Decision Making Units DMU's is presented. But the approach is limited to a subset of DMU types.
Abstract: A new approach is supplied for locating efficiency frontiers and evaluating the efficiency of Decision Making Units DMU's. This is accomplished from observational data by means of an envelopment procedure called DEA Data Envelopment Analysis originally developed by Charnes, Cooper and Rhodes Charnes, A., W. W. Cooper, E. Rhodes, 1978. Measuring the efficiency of decision making units. Eur. J. Oper. Res.2 6. See also, Short communication. Eur. J. Oper. Res.3 1979 339. in connection with their ratio formulation for relative efficiency measurement. The current variant employs a bi-extremal principle which, though nonlinear, is subsequently shown to be reducible to a finite sequence of linear programming problems. The development is illustrated by means of multiple output functions which are piecewise of Cobb-Douglas or general log linear type and which also allow for increasing, decreasing and constant returns to scale. More than one production function for the DMU's is also allowed. The reduction of the bi-extremal principle to linear programming equivalence is also accomplished for much more general classes of functions. A numerical example illustrates some of these ideas and also provides a springboard for a new theorem which relates these efficiency measures to ones which were supplied earlier in the Charnes, Cooper and Rhodes's work Charnes, A., W. W. Cooper, E. Rhodes, 1978. Measuring the efficiency of decision making units. Eur. J. Oper. Res.2 6. See also, Short communication. Eur. J. Oper. Res.3 1979 339..

68 citations

Journal ArticleDOI
TL;DR: In this article, a single model that can be used in place of such two-model approaches to evaluate congestion, identify its sources and estimate its levels is proposed. But the model is not suitable for data envelopment analysis.
Abstract: Standard data envelopment analysis approaches to congestion require two models (Eur. J. Oper. Res. 132 (2001) 62). Here, we introduce a single model that can be used in place of such two-model approaches to evaluate congestion, identify its sources and estimate its levels.

67 citations

Journal ArticleDOI
TL;DR: A new way to measure and decompose profit inefficiency through weighted additive models derived from a new Fenchel–Mahler inequality using duality theory is introduced.

63 citations

Journal ArticleDOI
TL;DR: The formulations as well as the proofs and the transformations provided by the general linear fractional programming theory are here employed to provide a substantial simplification for this class of cases.
Abstract: : A complete analysis and explicit solution is presented for the problem of linear fractional programming with interval programming constraints whose matrix is of full row rank. The analysis proceeds by simple transformation to canonical form, exploitation of the Farkas-Minkowski lemma and the duality relationships which emerge from the Charnes-Cooper linear programming equivalent for general linear fractional programming. The formulations as well as the proofs and the transformations provided by our general linear fractional programming theory are here employed to provide a substantial simplification for this class of cases. The augmentation developing the explicit solution is presented, for clarity, in an algorithmic format.

63 citations

01 Jul 1972
TL;DR: In this paper, the application of Computer-Assisted Multi-Level Manpower Planning Models in the Federal Government is discussed. But the authors focus on the U.S. Navy and do not consider the role of the civilian workforce.
Abstract: : Contents: The Application of Computer-Assited Multi-Level Manpower Planning Models in the Federal Government; A Goal Programming Model for Manpower Planning; A Model for Civilian Manpower Management in the U. S. Navy; A Generalized Network Model for Training and Recruiting in Manpower Planning, Multi-Level Models for Career Management and Resource Planning; Static and Dynamic Assignment Models with Multiple Objectives and Some Remarks on Organization Design; and An Algorithm for Multi-Attribute Assignment Models and Spectral Analyses for Dynamic Organization Design.

60 citations


Cited by
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Journal ArticleDOI
TL;DR: A nonlinear (nonconvex) programming model provides a new definition of efficiency for use in evaluating activities of not-for-profit entities participating in public programs and methods for objectively determining weights by reference to the observational data for the multiple outputs and multiple inputs that characterize such programs.

25,433 citations

Journal ArticleDOI
TL;DR: The CCR ratio form introduced by Charnes, Cooper and Rhodes, as part of their Data Envelopment Analysis approach, comprehends both technical and scale inefficiencies via the optimal value of the ratio form, as obtained directly from the data without requiring a priori specification of weights and/or explicit delineation of assumed functional forms of relations between inputs and outputs as mentioned in this paper.
Abstract: In management contexts, mathematical programming is usually used to evaluate a collection of possible alternative courses of action en route to selecting one which is best. In this capacity, mathematical programming serves as a planning aid to management. Data Envelopment Analysis reverses this role and employs mathematical programming to obtain ex post facto evaluations of the relative efficiency of management accomplishments, however they may have been planned or executed. Mathematical programming is thereby extended for use as a tool for control and evaluation of past accomplishments as well as a tool to aid in planning future activities. The CCR ratio form introduced by Charnes, Cooper and Rhodes, as part of their Data Envelopment Analysis approach, comprehends both technical and scale inefficiencies via the optimal value of the ratio form, as obtained directly from the data without requiring a priori specification of weights and/or explicit delineation of assumed functional forms of relations between inputs and outputs. A separation into technical and scale efficiencies is accomplished by the methods developed in this paper without altering the latter conditions for use of DEA directly on observational data. Technical inefficiencies are identified with failures to achieve best possible output levels and/or usage of excessive amounts of inputs. Methods for identifying and correcting the magnitudes of these inefficiencies, as supplied in prior work, are illustrated. In the present paper, a new separate variable is introduced which makes it possible to determine whether operations were conducted in regions of increasing, constant or decreasing returns to scale in multiple input and multiple output situations. The results are discussed and related not only to classical single output economics but also to more modern versions of economics which are identified with "contestable market theories."

14,941 citations

Book
31 Jul 1985
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Abstract: Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.

7,877 citations

Journal ArticleDOI
01 May 1981
TL;DR: This chapter discusses Detecting Influential Observations and Outliers, a method for assessing Collinearity, and its applications in medicine and science.
Abstract: 1. Introduction and Overview. 2. Detecting Influential Observations and Outliers. 3. Detecting and Assessing Collinearity. 4. Applications and Remedies. 5. Research Issues and Directions for Extensions. Bibliography. Author Index. Subject Index.

4,948 citations

Book
30 Nov 1999
TL;DR: In this article, the basic CCR model and DEA models with restricted multipliers are discussed. But they do not consider the effect of non-discretionary and categorical variables.
Abstract: List of Tables. List of Figures. Preface. 1. General Discussion. 2. The Basic CCR Model. 3. The CCR Model and Production Correspondence. 4. Alternative DEA Models. 5. Returns to Scale. 6. Models with Restricted Multipliers. 7. Discretionary, Non-Discretionary and Categorical Variables. 8. Allocation Models. 9. Data Variations. Appendices. Index.

4,395 citations