Extension of data envelopment analysis with preference information : value efficiency /
This book provides an introduction to incorporating preference information in Data Envelopment Analysis (DEA) with a special emphasis in Value Efficiency Analysis. In addition to theoretical considerations, numerous illustrative examples are included. Hence, the book can be used as a teaching text a...
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Main Authors: | |
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Group Author: | |
Published: |
Springer Science+Business Media,
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Publisher Address: | New York, New York : |
Publication Dates: | [2015] |
Literature type: | Book |
Language: | English |
Series: |
International Series in Operations Research & Management Science,
Volume 218 |
Subjects: | |
Summary: |
This book provides an introduction to incorporating preference information in Data Envelopment Analysis (DEA) with a special emphasis in Value Efficiency Analysis. In addition to theoretical considerations, numerous illustrative examples are included. Hence, the book can be used as a teaching text as well. Only a modest mathematical background is needed to understand the main principles. The only prerequisites are a) familiarity with linear algebra, especially matrix calculus; b) knowledge of the simplex method; and c) familiarity with the use of computer software. The book is organized as follows. Chapter 1 provides motivation and introduces the basic concepts. Chapter 2 provides the basic ideas and models of Data Envelopment Analysis. The efficient frontier and production possibility set concepts play an important role in all considerations. That's why these concepts are considered more closely in Chapter 3. Since the approaches introduced in this study are inspired by Multiple Objective Linear Programming, the basic concepts of this field are reviewed in Chapter 4. Chapter 5 also compares and contrasts Data Envelopment Analysis and Multiple Objective Linear Programming, providing some cornerstones for approaches presented later in the book. Chapter 6 discusses the traditional approaches to take into account preference information in DEA. In Chapter 7, Value Efficiency is introduced, and Chapter 8 discusses practical aspects. Some extensions are presented in Chapter 9, and in Chapter 10 Value Efficiency is extended to cover the case when a production possibility set is not convex. Three implemented applications are reviewed in Chapter 11. -- Provided by publisher. |
Carrier Form: | xii, 191 pages : illustrations (some color) ; 24 cm. |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9781489975270 1489975276 |
Index Number: | HA29 |
CLC: | C32 |
Call Number: | C32/J829 |
Contents: | Introduction -- Data envelopment analysis : Basic model with input, output, and combined orientation -- Production possibility set and efficiency : Efficiency in production possibility set and general model -- Multiple objective linear programming: Brief introduction to MOLP -- Comparison of data envelopment analysis and multiple objective linear programming : Structural similarities between DEA and MOLP -- Incorporating preference information to data envelopment analysis: Review and classification of preference-based approaches -- Value efficiency analysis: Most preferred unit-based approach -- Value efficiency analysis in practice: How to use value efficiency analysis in practical problems -- Extensions to value efficiency analysis: Implementing new features to value efficiency analysis -- Non-convex value efficiency analysis: Value efficiency analysis and FDH -- Applications of value efficiency analysis: How value efficiency analysis is applied in pracitice -- Conclusion: Incorporating preferences in DEA: Value efficiency analysis. |