Data Envelopment Analysis: A Comprehensive Text with Models, by William W. Cooper

By William W. Cooper

This quantity information easy rules and new advancements in facts Envelopment research (DEA). New fabric during this version comprises assurance of modern advancements that experience drastically prolonged the ability and scope of DEA.

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

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2. Only DMU B is efficient and is in the reference set of all of the other DMUs. 1 portrays the situation geometrically. The efficient frontier represented by the solid line passes through B and no other point. 2 show what is needed to bring each DMU onto the efficient frontier. 2. 6250 B B B B B B B B to A's input will bring A onto the efficient frontier by reducing its input 50% while leaving its output at its present value. 6667 x 3 = 2 wih position C on the frontier. And so on. 6 -] Efficient Frontier 5- 0) 3- / 21 *D H / • ^ 2 •G V •c / • 0- • sY'^ 4- / 1 1 1 1 3 4 5 6 r— 1 1 7 Employee Figure 2 .

Other uses are also kept in mind, however, as possibilities for present use are covered along with openings for further advances. 5. Acknowledgments The authors of this text have all been actively involved in applications and uses of DEA that could not have been undertaken except as part of a team effort. We hope that the citations made in this text will serve as acknowledgments to the other team members who helped to make these apphcations possible, and who also helped to point up the subsequent advances in DEA that are described in this text.

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. We can also interpret the results for managerial (or other) uses in a relatively straightforward manner. 5) will always have a value between zero and unity. 5) in terms of its reciprocal d{0,P) d{0,D) _ 20 .

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