Facility Location and the Theory of Production

The design and location of production facilities are important aspects of corporate strategy which can have a significant impact on the socio­ economy of nations and regions. Here, these decisions are recognized as being interrelated; that is, the optimal

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Facility Location and the Theory of Production

by Arthur P. Hurter, Jr. Department of Industrial Engineering and Management Sciences Northwestern University

and

Joseph S. Martinich School of Business Administration University of Missouri - SI. Louis

" ~.

Kluwer Academic Publishers Boston / Dordrecht / London

Distributors for North America: Kluwer Academic Publishers 101 Philip Drive Assinippi Park Norwell, Massachusetts 02061 USA Distributors for the UK and Ireland: Kluwer Academic Publishers MTP Press Limited Falcon House, Queen Square Lancaster LA 1 1RN, UNITED KINGDOM Distributors for all other countries: Kluwer Academic Publishers Group, Distribution Centre, Post Office Box 322 3300 AH Dordrecht, The NETHERLANDS

Library of Congress Cataloging-in-Publication Data Hurter, Jr, Arthur P Facility location and the theory of production. Includes Index. 1. Industry-Locatlon-Mathematlcal models 2 Production functions (Economic theory) I. Martinlch, Joseph Stanislaus, 1950II. Title. HD58.H87 1989 658.2'1 88-13196 ISBN-13: 978-94-010-7637-1

e-ISBN-13: 978-94-009-2518-2

001: 10.1007/978-94-009-2518-2

© 1989 by Kluwer· AcademiC Publishers Softcover reprint of the hardcover 1st edition 1989

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted In any form or by any means, mechanical, photOCOPYing, recording, or otherwise, without the prior written permission of the publishers, Kluwer AcademiC Publishers, 101 Philip Drive, AssinipPI park, Norwell, Massachusetts 02061.

To Florence, Vicki, and Michael for making it all worthwhile.

Contents

Dedication

v

Preface

ix

1 Introduction 2

Deterministic Production/Location Models on a Line

13

3 Deterministic Production/Location Models on Networks

45

4 Deterministic Production/Location Models on a Plane

75

5 Stochastic Production/Location Models on a Line

107

6 Stochastic Production/Location Models on Networks or a Plane

153

7 Policy Evaluation: Taxation

185

8 Policy Evaluation: Incentives and Regulation

211

9 Conclusion

229

References

235

Author Index

245

Subject Index

249 vii

Preface

The design and location of production facilities are important aspects of corporate strategy which can have a significant impact on the socioeconomy of nations and regions. Here, these decisions are recognized as being interrelated; that is, the optimal plant design (input mix and output level) depends on the location of the plant, and the optimal location of the plant depends on the design of the plant. Until the late 1950s, however, the questions of where a firm should locate its plant and what should be its planned input mix and output level were treated, for the most part, as separate questions, and were investigated by different groups of researchers. Although there was some recognition that these questions are interrelated [e.g., Pre doh I 1928; Hoover 1948; Isard 1956], no detailed analysis or formal structure was developed combining these two problems until the work of Moses [1958]. In recent ye