Download Data Envelopment Analysis: A Comprehensive Text with Models, by William W. Cooper; Lawrence M. Seiford; Kaoru Tone; PDF

By William W. Cooper; Lawrence M. Seiford; Kaoru Tone;

This quantity systematically information either the fundamental ideas and new advancements in info Envelopment research (DEA), delivering an outstanding figuring out of the method, its makes use of, and its capability. New fabric during this version contains assurance of contemporary advancements that experience tremendously prolonged the facility and scope of DEA and feature result in new instructions for study and DEA makes use of. each one bankruptcy accompanies its advancements with uncomplicated numerical examples and discussions of tangible functions. the 1st 9 chapters conceal the elemental ideas of DEA, whereas the ultimate seven chapters offer a extra complex remedy.

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Extra resources for Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software, 2nd Edition

Example text

DMUo is CCR-efficient if 9* = 1 and there exists at least one optimal {v*,u*), with V* > 0 and u* > 0. 2. Otherwise, DMUo is CCR-inefficient. BASIC CCR MODEL 25 Thus, CCR-inefRciency means that either (i) 9* < 1 or (M) 6* = 1 and at least one element of {v*,u*) is zero for every optimal solution of (LPo). 2, and a detailed description of CCR-efficiency will be given in Chapter 3. Now we observe the case where DMUo has 9* < 1 (CCR-inefiicient). 9) for which the weight {v*,u*) produces equahty between the left and right hand sides since, otherwise, 9* could be enlarged.

These include modern techniques of "bootstrapping" as well as the classical "maximum likehhood" methods. There is, of course, more to be done and the discussions in Chapter 9 point up some of these possibilities for research. This is the same spirit in which the other topics are treated in Chapter 9. A. Simon,^® as derived from the literatures of management and psychology. Using "chanceconstrained programming" approaches, a DEA model is presented in Chapter 9 which replaces the usual deterministic requirements of 100% efficiency as a basis for evaluation in DEA with a less demanding objective of achieving a "satisfactory" level of efficiency with a sufficiently high probability.

F 7^ 1 • +J ^ 3 Q. 7. Improvement The above ratio is referred to as a "radial measure" and can be interpreted as the ratio of two distance measures. 4 for D and from the intersection of 2/2 = fyi and 2/2 = 20 — 3yi for P. 5) then gives 3 20 This interpretation as a ratio of distances aligns the results with our preceding discussion of such ratios. Because the ratio is formed relative to the Euclidean distance from the origin over the production possibility set, we will always obtain a measure between zero and unity.

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