Parametric integer optimization:
Gespeichert in:
Beteiligte Personen: | , |
---|---|
Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin
Akad.-Verl.
1988
|
Schriftenreihe: | Mathematical research
39 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000529532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 138 S. |
ISBN: | 3055003985 |
Internformat
MARC
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245 | 1 | 0 | |a Parametric integer optimization |c by Bernd Bank and Reinhard Mandel |
264 | 1 | |a Berlin |b Akad.-Verl. |c 1988 | |
300 | |a 138 S. | ||
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490 | 1 | |a Mathematical research |v 39 | |
650 | 7 | |a Optimisation mathématique |2 ram | |
650 | 7 | |a Programmation en nombres entiers |2 ram | |
650 | 4 | |a Integer programming | |
650 | 4 | |a Mathematical optimization | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0001 89 A 399 |
---|---|
DE-BY-TUM_katkey | 88012 |
DE-BY-TUM_location | Mag |
DE-BY-TUM_media_number | 040000163059 |
_version_ | 1821939798870327296 |
adam_text | Contents
Preface Page
1. Introduction 9
2. Multifunctions and Constraint Sets 19
2.1. Definitions 19
2.2. Parameter Depending Constraint Sets 20
3. Stability of Some Continuous Optimization Problems 28
3.1. Definitions 28
3.2. Stability Properties 29
4. Quasiconvex Polynomial Optimization Problems 40
4.1. Properties of Quasiconvex Polynomial Functions 40
4.2. Multifunctions and Constraint Sets Defined by Quasi 46
convex Polynomial Functions
4.3. Stability Properties for a Fixed Objective Function 61
5. Integer Points in Certain Subsets of the Space Rn 64
5.1. Subsets Described as the Sun of a Compact Set and a 64
Convex Cone
5.2. Subsets Described by Quasiconvex Polynomial Functions 72
5.3. Polyhedral Subsets 76
6. Stability Properties of Nonlinear Integer Optimization 83
Problems
6.1. Introduction 83
6.2. Integer Problems with Quadratic Objective Function 84
6.3. Integer Problems with a Convex Polynomial Objective 97
Function
7. The Existence of Optimal Points for Integer Optimi 104
zation Problems
7.1. Concave Objective Functions 104
7.2. Polynomial Objective Functions 106
7.3. Some Special Mixed Integer Optimization Problems 111
8. Quantitative Stability of (Mixed ) Integer Linear 115
Optimization Problems
9. On Relations between Parametric Optimization, Solution 123
Concepts and Subadditive Duality for Integer Optimi¬
zation
9.1. Penalty Functions for (Mixed ) Integer Linear Optimi 123
zation
9.2. Partitioning Procedures 124
9.3. Subadditive Duality 128
Bibliography 133
|
any_adam_object | 1 |
author | Bank, Bernd Mandel, Reinhard |
author_facet | Bank, Bernd Mandel, Reinhard |
author_role | aut aut |
author_sort | Bank, Bernd |
author_variant | b b bb r m rm |
building | Verbundindex |
bvnumber | BV000843401 |
callnumber-first | Q - Science |
callnumber-label | QA402 |
callnumber-raw | QA402.5 |
callnumber-search | QA402.5 |
callnumber-sort | QA 3402.5 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 870 SK 890 |
classification_tum | MAT 913f |
ctrlnum | (OCoLC)18492328 (DE-599)BVBBV000843401 |
dewey-full | 519.3 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.3 |
dewey-search | 519.3 |
dewey-sort | 3519.3 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV000843401 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T07:27:40Z |
institution | BVB |
isbn | 3055003985 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000529532 |
oclc_num | 18492328 |
open_access_boolean | |
owner | DE-12 DE-91 DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-706 DE-523 DE-634 |
owner_facet | DE-12 DE-91 DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-706 DE-523 DE-634 |
physical | 138 S. |
publishDate | 1988 |
publishDateSearch | 1988 |
publishDateSort | 1988 |
publisher | Akad.-Verl. |
record_format | marc |
series | Mathematical research |
series2 | Mathematical research |
spellingShingle | Bank, Bernd Mandel, Reinhard Parametric integer optimization Mathematical research Optimisation mathématique ram Programmation en nombres entiers ram Integer programming Mathematical optimization Parametrische ganzzahlige Optimierung (DE-588)4198987-9 gnd |
subject_GND | (DE-588)4198987-9 |
title | Parametric integer optimization |
title_auth | Parametric integer optimization |
title_exact_search | Parametric integer optimization |
title_full | Parametric integer optimization by Bernd Bank and Reinhard Mandel |
title_fullStr | Parametric integer optimization by Bernd Bank and Reinhard Mandel |
title_full_unstemmed | Parametric integer optimization by Bernd Bank and Reinhard Mandel |
title_short | Parametric integer optimization |
title_sort | parametric integer optimization |
topic | Optimisation mathématique ram Programmation en nombres entiers ram Integer programming Mathematical optimization Parametrische ganzzahlige Optimierung (DE-588)4198987-9 gnd |
topic_facet | Optimisation mathématique Programmation en nombres entiers Integer programming Mathematical optimization Parametrische ganzzahlige Optimierung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000529532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000008585 |
work_keys_str_mv | AT bankbernd parametricintegeroptimization AT mandelreinhard parametricintegeroptimization |
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Bibliotheksmagazin
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0001 89 A 399 Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |