Entropy optimization and mathematical programming:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Kluwer
1997
|
| Series: | International series in operations research & management science
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 343 S. |
| ISBN: | 0792399390 |
Staff View
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| 245 | 1 | 0 | |a Entropy optimization and mathematical programming |c S.-C. Fang ; J. R. Rajasekera ; H.-S. J. Tsao |
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| 650 | 7 | |a Optimisation mathématique |2 ram | |
| 650 | 7 | |a Otimização matemática |2 larpcal | |
| 650 | 7 | |a Pesquisa operacional |2 larpcal | |
| 650 | 7 | |a Programação linear |2 larpcal | |
| 650 | 7 | |a Programmation (mathématiques) |2 ram | |
| 650 | 4 | |a Entropy (Information theory) | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Operations research | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface ix
1 INTRODUCTION TO ENTROPY AND
ENTROPY OPTIMIZATION PRINCIPLES l
1.1 Introduction to Finite Dimensional Entropy 1
1.2 Entropy Optimization Problems 9
Chapter References 13
2 ENTROPY OPTIMIZATION MODELS 17
2.1 Queueing Theory 17
2.2 Transportation Planning 21
2.3 Input Output Analysis 28
2.4 Regional Planning 33
2.5 Portfolio Optimization 38
2.6 Image Reconstruction 41
Chapter References 45
3 ENTROPY OPTIMIZATION METHODS:
LINEAR CASE 51
3.1 Existing Methods 58
3.2 An Unconstrained Convex Programming Approach 88
3.3 Entropy Optimization Problems with Infinitely Many Lin¬
ear Constraints 101
Chapter References 118
4 ENTROPY OPTIMIZATION METHODS:
GENERAL CONVEX CASE 125
viii
4.1 Existing Methods 128
4.2 Entropy Optimization with Quadratic Constraints 137
4.3 Entropy Optimization with Entropic Constraints 150
4.4 Entropy Optimization with Convex Constraints 168
Chapter References 183
5 ENTROPIC PERTURBATION APPROACH
TO MATHEMATICAL PROGRAMMING 187
5.1 Linear Programming: Karmarkar Form 187
5.2 Linear Programming: Standard Form 203
5.3 Convex Quadratic Programming 219
5.4 Linear and Convex Quadratic Semi infinite Programming 230
Chapter References 242
6 Ip NORM PERTURBATION APPROACH
: A GENERALIZATION OF ENTROPIC
PERTURBATION 247
6.1 Perturbing the Dual Feasible Region of Standard form Lin¬
ear Programs 248
6.2 Solving Linear Programs with Inequality Constraints via
Perturbation of Feasible Region 256
6.3 Perturbing Dual Feasible Region of Convex Quadratic Pro¬
grams 270
Chapter References 283
7 EXTENSIONS AND RELATED RESULTS 285
7.1 Entropy Optimization with Countably Many Variables 285
7.2 Entropy Optimization and Bayesian Statistical Estimation 294
7.3 Entropic Regularization for Min Max Problems 301
7.4 Semi Infinite Min Max Problems 311
Chapter References 320
BIBLIOGRAPHY 325
INDEX 341
|
| any_adam_object | 1 |
| author | Fang, Shu-Cherng Rajasekera, J. R. Tsao, H.-S. J. |
| author_facet | Fang, Shu-Cherng Rajasekera, J. R. Tsao, H.-S. J. |
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| bvnumber | BV011990695 |
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| callnumber-subject | T - General Technology |
| classification_rvk | UG 3000 |
| ctrlnum | (OCoLC)37024792 (DE-599)BVBBV011990695 |
| 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 | Physik Mathematik |
| format | Book |
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| id | DE-604.BV011990695 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:19:47Z |
| institution | BVB |
| isbn | 0792399390 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008114170 |
| oclc_num | 37024792 |
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| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | X, 343 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer |
| record_format | marc |
| series | International series in operations research & management science |
| series2 | International series in operations research & management science |
| spelling | Fang, Shu-Cherng Verfasser aut Entropy optimization and mathematical programming S.-C. Fang ; J. R. Rajasekera ; H.-S. J. Tsao Boston [u.a.] Kluwer 1997 X, 343 S. txt rdacontent n rdamedia nc rdacarrier International series in operations research & management science 8 Entropia (matemática aplicada) larpcal Entropie (théorie de l'information) ram Optimisation mathématique ram Otimização matemática larpcal Pesquisa operacional larpcal Programação linear larpcal Programmation (mathématiques) ram Entropy (Information theory) Mathematical optimization Operations research Entropie (DE-588)4014894-4 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Optimierung (DE-588)4043664-0 s Entropie (DE-588)4014894-4 s DE-604 Rajasekera, J. R. Verfasser aut Tsao, H.-S. J. Verfasser aut International series in operations research & management science 8 (DE-604)BV011630976 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008114170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fang, Shu-Cherng Rajasekera, J. R. Tsao, H.-S. J. Entropy optimization and mathematical programming International series in operations research & management science Entropia (matemática aplicada) larpcal Entropie (théorie de l'information) ram Optimisation mathématique ram Otimização matemática larpcal Pesquisa operacional larpcal Programação linear larpcal Programmation (mathématiques) ram Entropy (Information theory) Mathematical optimization Operations research Entropie (DE-588)4014894-4 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4014894-4 (DE-588)4043664-0 |
| title | Entropy optimization and mathematical programming |
| title_auth | Entropy optimization and mathematical programming |
| title_exact_search | Entropy optimization and mathematical programming |
| title_full | Entropy optimization and mathematical programming S.-C. Fang ; J. R. Rajasekera ; H.-S. J. Tsao |
| title_fullStr | Entropy optimization and mathematical programming S.-C. Fang ; J. R. Rajasekera ; H.-S. J. Tsao |
| title_full_unstemmed | Entropy optimization and mathematical programming S.-C. Fang ; J. R. Rajasekera ; H.-S. J. Tsao |
| title_short | Entropy optimization and mathematical programming |
| title_sort | entropy optimization and mathematical programming |
| topic | Entropia (matemática aplicada) larpcal Entropie (théorie de l'information) ram Optimisation mathématique ram Otimização matemática larpcal Pesquisa operacional larpcal Programação linear larpcal Programmation (mathématiques) ram Entropy (Information theory) Mathematical optimization Operations research Entropie (DE-588)4014894-4 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Entropia (matemática aplicada) Entropie (théorie de l'information) Optimisation mathématique Otimização matemática Pesquisa operacional Programação linear Programmation (mathématiques) Entropy (Information theory) Mathematical optimization Operations research Entropie Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008114170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011630976 |
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