Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis

In a relatively short period of time, Data Envelopment Analysis (DEA) has grown into a powerful quantitative, analytical tool for measuring and evaluating performance. It has been successfully applied to a whole variety of problems in many different conte

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Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis

Edited by

Joe Zhu Worcester Polytechnic Institute, U.S.A.

Wade D. Cook York University, Canada

Joe Zhu

Wade D. Cook

Worcester Polytechnic Institute Worcester, MA, USA

York University Toronto, ON, Canada

Library of Congress Control Number: 2007925039 ISBN 978-0-387-71606-0

e-ISBN 978-0-387-71607-7

Printed on acid-free paper. © 2007 by Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now know or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if the are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. 9 8 7 6 5 4 3 2 1 springer.com

To Alec and Marsha Rose

CONTENTS

1

Data Irregularities and Structural Complexities in DEA

1

Wade D. Cook and Joe Zhu

2

Rank Order Data in DEA

13

Wade D. Cook and Joe Zhu

3

Interval and Ordinal Data

35

Yao Chen and Joe Zhu

4

Variables with Negative Values in DEA

63

Jesús T. Pastor and José L. Ruiz

5

Non-Discretionary Inputs

85

John Ruggiero

6

DEA with Undesirable Factors

103

Zhongsheng Hua and Yiwen Bian

7

European Nitrate Pollution Regulation and French Pig Farms’ Performance

123

Isabelle Piot-Lepetit and Monique Le Moing

8

PCA-DEA

139

Nicole Adler and Boaz Golany

9

Mining Nonparametric Frontiers José H. Dulá

155

viii

10

Contents

DEA Presented Graphically Using Multi-Dimensional Scaling

171

Nicole Adler, Adi Raveh and Ekaterina Yazhemsky

11

DEA Models for Supply Chain or Multi-Stage Structure

189

Wade D. Cook, Liang Liang, Feng Yang, and Joe Zhu

12

Network DEA

209

Rolf Färe, Shawna Grosskopf and Gerald Whittaker

13

Context-Dependent Data Envelopment Analysis and its Use

241

Hiroshi Morita and Joe Zhu

14

Flexible Measures-Classifying Inputs and Outputs

261

Wade D. Cook and Joe Zhu

15

Integer DEA Models

271

Sebastián Lozano and Gabriel Villa

16

Data Envelopment Analysis with Missing Data

291

Chiang Kao and Shiang-Tai Liu

17

Preparing Your Data for DEA

305

Joe Sarkis

About the Authors

321

Index

331

Chapter 1 DATA IRREGULARITIES AND STRUCTURAL COMPLEXITIES IN DEA Wade D. Cook1 and Joe Zhu2 1

Schulich School of Business, York University, Toronto, Ontario, Canada, M3J 1P3, [email protected] 2

Department of Management, Worcester Polytechnic Institute, Worcester, MA 01609, [email protected]

Abstract:

Over the recent years, we have seen a notable increase in interest in data envelopment analysis (DEA) techniques and applications. Basic a