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James P. Ignizio - Introduction to Linear Goal Programming (Quantitative Applications in the Social Sciences)

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Goal programming is one of the most widely used methodologies in operations research and management science, and encompasses most classes of multiple objective programming models. Ignizio provides a concise and lucid overview of (a) the linear goal programming model, (b) a computationally efficient algorithm for solution, (c) duality and sensitivity analysis and (d) extensions of the methodology to integer as well as non-linear models.

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title Introduction to Linear Goal Programming Sage University Papers - photo 1

title:Introduction to Linear Goal Programming Sage University Papers Series. Quantitative Applications in the Social Sciences ; No. 07-056
author:Ignizio, James P.
publisher:Sage Publications, Inc.
isbn10 | asin:0803925646
print isbn13:9780803925649
ebook isbn13:9780585216928
language:English
subjectLinear programming.
publication date:1985
lcc:T57.74.I35 1985eb
ddc:519.7/2
subject:Linear programming.
Introduction to Linear Goal Programming
SAGE UNIVERSITY PAPERS
Series: Quantitative Applications in the Social Sciences
Series Editor: Michael S. Lewis-Beck, University of Iowa
Editorial Consultants
Richard A. Berk, Sociology, University of California, Los Angeles
William D. Berry, Political Science, Florida State University
Kenneth A. Bollen, Sociology, University of North Carolina, Chapel Hill
Linda B. Bourque, Public Health, University of California, Los Angeles
Jacques A. Hagenaars, Social Sciences, Tilburg University
Sally Jackson, Communications, University of Arizona
Richard M. Jaeger, Education, University of North Carolina, Greensboro
Gary King, Department of Government, Harvard University
Roger E. Kirk, Psychology, Baylor University
Helena Chmura Kraemer, Psychiatry and Behavioral Sciences, Stanford University
Peter Marsden, Sociology, Harvard University
Helmut Norpoth, Political Science, SUNY, Stony Brook
Frank L. Schmidt, Management and Organization, University of Iowa
Herbert Weisberg, Political Science, The Ohio State University
Publisher
Sara Miller McCune, Sage Publications, Inc.
INSTRUCTIONS TO POTENTIAL CONTRIBUTORS
For guidelines on submission of a monograph proposal to this series, please write
Michael S. Lewis-Beck, Editor
Sage QASS Series
Department of Political Science
University of Iowa
Iowa City, IA 52242
Page 1
Series / Number 07-056
Introduction to Linear Goal Programming
James P. Ignizio
Pennsylvania State University
Picture 2
SAGE PUBLICATIONS
The International Professional Publishers
Newbury Park London New Delhi
Page 2
Copyright 1985 by Sage Publications, Inc.
Printed in the United States of America
All rights reserved. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the publisher.
For information address:
Picture 3
SAGE Publications, Inc.
2455 Teller Road
Newbury Park, California 91320
E-mail: order@sagepub.com
SAGE Publications Ltd.
6 Bonhill Street
London EC2A 4PU
United Kingdom
SAGE Publications India Pvt. Ltd.
M-32 Market
Greater Kailash I
New Delhi 110 048 India
International Standard Book Number 0-8039-2564-6
Library of Congress Catalog Card No. 85-072574
97 98 99 00 01 02 03 11 10 9 8 7 6 5
When citing a professional paper, please use the proper form. Remember to cite the correct Sage University Paper series title and include the paper number. One of the two following formats can be adapted (depending on the style manual used):
(1) IVERSEN, GUDMUND R. and NORPOTH, HELMUT (1976) "Analysis of Variance." Sage University Paper series on Quantitative Applications in the Social Sciences, 07-001. Beverly Hills: Sage Publications.
OR
(2) Iversen, Gudmund R. and Norpoth, Helmut. 1976. Analysis of Variance. Sage University Paper series on Quantitative Applications in the Social Sciences, series no. 07-001. Beverly Hills: Sage Publications.
Page 3
Contents
Series Editor's Introduction
5
Acknowledgments
7
1. Introduction
9
Picture 4
Purpose
9
Picture 5
What Is Goal Programming?
10
Picture 6
On the Use of Matrix Notation
10
2. History and Applications
11
3. Development of the LGP Model
15
Picture 7
Notation
16
Picture 8
The Baseline Model
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