Holdings: Stable parametric programming

Stable parametric programming:

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Bibliographic Details
Main Author:	Zlobec, Sanjo (Author)
Format:	Book
Language:	English
Published:	Dordrecht [u.a.] Kluwer 2001
Series:	Applied optimization 57
Online Access:	Inhaltsverzeichnis
Physical Description:	XXI, 317 S.
ISBN:	0792371399

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MARC


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adam_text	STABLE PARAMETRIC PROGRAMMING BY SANJO ZLOBEC MCGILL UNIVERSITY, MONTREAL, CANADA KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS GENERAL PREFACE, XIII PREFACE, XVII ACKNOWLEDGMENTS, XXI 1 INTRODUCTION 1 PARAMETRIC PROGRAMMING IN ANCIENT TIMES, 1 2 MOTIVATION, 3 3 STABLE LINEAR MODELS, 4 4 UNSTABLE LINEAR MODELS, 7 5 IDEA OF INPUT OPTIMIZATION, 8 2 CLASSICAL OPTIMALITY CONDITIONS 1 METHODOF LAGRANGE, 12 2 SECOND-ORDER OPTIMALITY CONDITIONS, 14 EXAMPLES AND EXERCISES, 16 3 BASIC CONVEX PROGRAMMING 1 CONVEX SETS, 29 2 CONVEX FUNCTIONS, 32 3 SYSTEMS OF CONVEX INEQUALITIES, 36 4 OPTIMALITY CONDITIONS, 38 EXAMPLES AND EXERCISES, 46 4 ASYMPTOTIC OPTIMALITY CONDITIONS 1 CONVEX LFS FUNCTIONS, 59 2 CONVEX PROGRAMS WITH LFS CONSTRAINTS, 61 3 GENERAL CONVEX PROGRAMS, 62 EXAMPLES AND EXERCISES, 66 5 NON-SMOOTH PROGRAMS 1 PRELIMINARIES, 73 2 OPTIMALITY FOR NON-SMOOTH PROGRAMS, 73 3 NON-SMOOTH LFS FUNCTIONS, 75 4 AN EQUIVALENT UNCONSTRAINED PROGRAM, 79 EXAMPLES AND EXERCISES, 83 X 6 MULTI-OBJECTTVE PROGRAMS 87 1 PRELIMINARIES, 87 2 PARETO OPTIMA FOR LFS FUNCTIONS, 88 3 PARETO OPTIMA FOR DIFFERENTIABLE FUNCTIONS, 90 4 SADDLE-POINT CHARACTERIZATION, 92 EXAMPLES AND EXERCISES, 93 7 INTRODUCTION TO STABILITY 101 1 PRELIMINARIES, 101 2 POINT-TO-SET MAPPINGS, 102 3 STABLE CONVEX MODELS, 104 4 REGIONS OFSTABILITY, 108 EXAMPLES AND EXERCISES, 112 8 LOCALLY OPTIMAL PARAMETERS 121 1 CHARACTERIZING LOCALLY OPTIMAL PARAMETERS, 121 2 INPUT CONSTRAINT QUALIFICATIONS, 124 3 LAGRANGE POINT-TO-SET MAPPINGS, 126 EXAMPLES AND EXERCISES, 128 9 GLOBALLY OPTIMAL PARAMETERS 135 1 CHARACTERIZING GLOBALLY OPTIMAL PARAMETERS, 135 2 THE SANDWICH CONDITION, 137 3 OPTIMALITY IN LFS MODELS, 139 4 DUALITY, 140 5 AN EXPLICIT REPRESENTATION OF OPTIMAL PARAMETERS, 145 EXAMPLES AND EXERCISES, 147 10 OPTIMAL VALUE FUNCTION 155 1 MARGINAL VALUE FORMULA, 155 2 INPUT OPTIMIZATION, 162 3 REVIEW OF MINIMUM PRINCIPLES, 164 4 CASE STUDY: RESTRUCTURING IN A TEXTILE MILL, 166 5 CASE STUDY: PLANNING OF UNIVERSITY ADMISSION, 170 EXAMPLES AND EXERCISES, 173 11 PARTLY CONVEX PROGRAMMING 185 1 SOURCES OFPARTLY CONVEX PROGRAMS, 186 2 CHARACTERIZATIONS OF GLOBAL AND LOCAL OPTIMA, 191 3 PARTLYLFS PROGRAMS, 195 EXAMPLES AND EXERCISES, 196 XI 12 NUMERICAL METHODS IN PCP 203 1 PARAMETRIC STEEPEST DESCENT METHOD, 203 2 PARAMETRIC QUASI-NEWTON METHODS, 205 3 CONSTRAINED PROGRAMS, 207 EXAMPLES AND EXERCISES, 209 13 ZERMELO S NAVIGATION PROBLEMS 213 1 ZERMELO S PROBLEM ON THE WATER, 213 2 SOLUTION BY THE METHOD OF LAGRANGE, 215 3 SOLUTION BY INPUT OPTIMIZATION, 216 4 ZERMELO S PROBLEM UNDER THE WATER, 217 5 DUAL SOLUTIONS: INTERPRETATION, 219 EXAMPLES AND EXERCISES, 220 14 EFFICIENCY TESTING IN DATA ENVELOPMENT ANALYSIS 225 1 CHARNES-COOPER-RHODES TESTS, 225 2 STABILITY OF CHARNES-COOPER-RHODES TESTS, 230 3 STABLE POST-OPTIMALITY ANALYSIS, 231 4 RADIUS OFRIGIDITY METHOD, 232 5 CASE STUDY: EFFICIENCY EVALUATIONS OF UNIVERSITY LIBRARIES, 236 EXAMPLES AND EXERCISES, 239 15 ORIENTATION 243 1 LINEAR PARAMETRIC MODELS, 243 2 LEXICOGRAPHIC MODELS, 248 3 STABLE INVERSE PROGRAMMING, 255 4 SEMI-ABSTRACT PARAMETRIC PROGRAMMING, 257 5 ABSTRACT PARAMETRIC PROGRAMMING, 258 EXAMPLES AND EXERCISES, 267 APPENDIX: METHOD OF WEIERSTRASS 279 GLOSSARY OF SYMBOLS . 283 REFERENCES 285 INDEX 315
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author	Zlobec, Sanjo
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spelling	Zlobec, Sanjo Verfasser aut Stable parametric programming by Zanjo Zlobec Dordrecht [u.a.] Kluwer 2001 XXI, 317 S. txt rdacontent n rdamedia nc rdacarrier Applied optimization 57 Applied optimization 57 (DE-604)BV010841718 57 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019900236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Zlobec, Sanjo Stable parametric programming Applied optimization
title	Stable parametric programming
title_auth	Stable parametric programming
title_exact_search	Stable parametric programming
title_full	Stable parametric programming by Zanjo Zlobec
title_fullStr	Stable parametric programming by Zanjo Zlobec
title_full_unstemmed	Stable parametric programming by Zanjo Zlobec
title_short	Stable parametric programming
title_sort	stable parametric programming
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019900236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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