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H. P. Williams - Model Building in Mathematical Programming, 4th Edition

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Review of previous editionsSuch a text - and this is the only one of this type I know of - should be the basis of all instruction in Mathematical Programming. Journal of the Royal Statistical SocietyAn excellent introduction ... for students of business administration and people who want to see the utility of operations research. European Journal of Operational ResearchIt will be appreciated very much by practitioners who already have knowledge in the field of mathematical programming. Mathematical Programming Society Newsletter Model Building in Mathematical Programming Fourth Edition H. Paul Williams Faculty of Mathematical Studies, University of Southampton, UKThis extensively revised fourth edition of this well-known and much praised book contains a great deal of new material. In particular sections and new problems have been added covering Revenue Management. Hydro Electric Generation, Date Envelopment (efficiency) Analysis, Milk Distribution and Collection and Constraint Programming. The book discusses the general principles of model building in mathematical programming and shows how they can be applied by using simplified but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book together with computational experience to give the reader a feel for the computation difficulty of solving that particular type of model. Aimed at undergraduates, postgraduates, research students and managers, this book illustrates the scope and limitations of mathematical programming, and shows how it can be applied to real situations. By emphasizing the importance of the building and interpretation of models rather than the solution process, the author attempts to fill a gap left by the many works which concentrate on the algorithmic side of the subject.

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title Model Building in Mathematical Programming author Williams - photo 1

title:Model Building in Mathematical Programming
author:Williams, H. P.
publisher:John Wiley & Sons, Ltd. (UK)
isbn10 | asin:0471997889
print isbn13:9780471997887
ebook isbn13:9780585274805
language:English
subjectProgramming (Mathematics) , Mathematical models.
publication date:1999
lcc:T57.7.W55 1999eb
ddc:519.7
subject:Programming (Mathematics) , Mathematical models.
Page i
Model Building in Mathematical Programming
Fourth Edition
H. Paul Williams
Faculty of Mathematical Studies
University of Southampton
JOHN WILEY & SONS, LTD
Chichester New York Brisbane Toronto Singapore
Page ii
Copyright 1978, 1985, 1990, 1993, 1999 by John Wiley & Sons Ltd,
Baffins Lane, Chichester,
West Sussex PO19 1UD, England
Fourth edition first published 1999
All rights reserved.
No part of this book may be reproduced by any means, or transmitted, or translated into a machine language without the written permission of the publisher.
Other Wiley Editorial Offices
John Wiley & Sons, Inc., 605 Third Avenue,
New York, NY 10158-0012, USA
Jacaranda Wiley Ltd, 33 Park Road, Milton,
Queensland 4064, Australia
John Wiley & Sons (Canada) Ltd, 22 Worcester Road,
Rexdale, Ontario M9W 1L1, Canada
John Wiley & Sons (SEA) Pte Ltd, 37 Jalan Pemimpin #05-04,
Block B, Union Industrial Building, Singapore 2057
Library of Congress Cataloging-in-Publication Data
Williams, H.P.
Model building in mathematical programming/H.P. Williams.-4th ed.
p. cm.
Includes bibliographical references and index.
ISBN 0-471-99788-9 (pbk.: alk. paper)
1. Programming (Mathematics). 2. Mathematical models. I. Title.
T57.7.W55 1999
519.7dc21 99-32311
CIP
British Library Cataloguing in Publication Data
Williams, H.P. (Hilary Paul), 1943
Model building in mathematical programming.-4th ed. rev.
1. Mathematical programming. Applications of mathematical
models
I. Title
519.7
ISBN 0 471 99788 9 (pbk)
Typeset by C.K.M. Typesetting, Salisbury, Wiltshire
Printed and bound in Great Britain by Bookcraft Ltd, Midsomer Norton, Somerset.
Page iii
To
Eileen, Anna, Alexander and Eleanor
Page v
CONTENTS
Preface
xi
Part 1
1
1
Introduction
3
Picture 2
1.1
The Concept of a Model
3
Picture 3
1.2
Mathematical Programming Models
5
2
Solving Mathematical Programming Models
10
Picture 4
2.1
Algorithms and Packages
10
Picture 5
2.2
Practical Considerations
12
Picture 6
2.3
Decision Support and Expert Systems
15
Picture 7
2.4
Constraint Logic Programming (CLP)
15
3
Building Linear Programming Models
17
Picture 8
3.1
The Importance of Linearity
17
Picture 9
3.2
Defining Objectives
19
Picture 10
3.3
Defining Constraints
25
Picture 11
3.4
How to Build a Good Model
32
Picture 12
3.5
The Use of Modelling Languages
36
4
Structured Linear Programming Models
39
Picture 13
4.1
Multiple Plant, Product, and Period Models
39
Picture 14
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