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PUBLICATIONS IN OPERATIONS RESEARCH SERIES Saul I. Gass, Editor

Volume I

MANPOWER PLANNING MODELS Richard C. Grinold and Kneale T. Marshall

Volume 2

FIRE DEPARTMENT DEPLOYMENT ANALYSIS The Rand Fire Project

Volume 3

QUEUEING TABLES AND GRAPHS Fredericlc S. Hillier and Oliver S. Yu

Volume 4

ADVANCED TECHNIQUES IN THE PRACTICE OF OPERATIONS RESEARCH Harvey J. Greenberg, Frederic H. Murphy, and Susan H. Shaw, Editors

Volume 5

IMPACTS OF MICROCOMPUTERS ON OPERATIONS RESEARCH Saul I. Gass, Harvey J. Greenberg, Karla L. Hoffman, and R. Warren Langley, Editors

Volume 6

A MATHEMATICAL ORGANIZATION THEORY R. F. Drenick

Volume 7

FACILITIES LOCATION: MODELS AND METHODS Robert F. Love, James G. Morris, and George O. Wesolowsky

FACILITIES LOCATION

MODELS & METHODS

Robert F. Love

Department of Management Science and Information Systems Faculty of Business McMaster University Hamilton, Ontario

James G. Morris

Department of Quantitative Analysis School of Business University of Wisconsin-Madison Madison, Wisconsin

George O. Wesolowsky

Department of Management Science and Information Systems Faculty of Business McMaster University Hamilton, Ontario

North-Holland

New York Amsterdam London



Elsevier Science Publishing Co., Inc.

52 Vanderbilt Avenue, New York, New York 10017

Distributors outside the United States and Canada:

Elsevier Science Publishers B.V.

P.O. Box 211, 1000 AE Amsterdam, The Netherlands

© 1988 by Elsevier Science Publishing Co., Inc.

This book has been registered with the Copyright Clearance Center, Inc. For further information, please contact the Copyright Clearance Center, Inc., Salem, Massachusetts.

Library of Congress Cataloging-in-Publication Data Love. Robert F.

Facilities location.

(Publications in operations research series; v. 7) Bibliography; p. Includes index.

1. Industry - Location - Mathematical models. I. Morris, I.G. (James G.) II. Wesolowsky, George O, III. Title. IV. Series.

HD58.L68 1988 338.60420724 86-748

ISBN 0-444-01031-9

Composition by Impressions, Inc., Madison, Wisconsin.

Current printing (last digit): 10 987654321

Manufactured in the United States of America

To Our Parents



Contents

Preface xi Chapter 1

The Nature of Facilities Location Problems 1

1.1 Distance Measures in Location Problems 5

1.2 Relevant Costs 7

1.3 Historical Perspective 7 Exercises 9

Reference Notes 9

Chapter 2

Introduction to Single-Facility Location 11

2.1 The Straight-Line Distance Problem 12

2.2 The Rectangular Distance Problem 18

2.3 The jP,, Distance Problem 23

Exercises 27 Reference Notes 31 Appendix 31

Chapter 3

Variations on the Single-Facility Model 37

3.1 Locating a Facility on a Sphere 38

3.2 Point and Area Destinations with Rectangular Distance 43

3.3 The Location of a Linear Facility 51

3.4 Single-Facility Dynamic Location 60

3.5 Probabilistic Destination Locations 66 Exercises 69



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