Stable parametric programming:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2001
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Schriftenreihe: | Applied optimization
57 |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XXI, 317 S. |
ISBN: | 0792371399 |
Internformat
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Datensatz im Suchindex
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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
|
any_adam_object | 1 |
author | Zlobec, Sanjo |
author_facet | Zlobec, Sanjo |
author_role | aut |
author_sort | Zlobec, Sanjo |
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building | Verbundindex |
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ctrlnum | (OCoLC)248125306 (DE-599)BVBBV025264313 |
dewey-full | 519.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.7 |
dewey-search | 519.7 |
dewey-sort | 3519.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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illustrated | Not Illustrated |
indexdate | 2024-07-09T22:29:58Z |
institution | BVB |
isbn | 0792371399 |
language | English |
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physical | XXI, 317 S. |
publishDate | 2001 |
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publisher | Kluwer |
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series | Applied optimization |
series2 | Applied optimization |
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 |
volume_link | (DE-604)BV010841718 |
work_keys_str_mv | AT zlobecsanjo stableparametricprogramming |