Bioinspired computation in combinatorial optimization: algorithms and their computational complexity
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Natural Computing Series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 216 S. 235 mm x 155 mm |
| ISBN: | 9783642265846 9783642165436 3642165435 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
PART I BASICS
1 INTRODUCTION 3
2 COMBINATORIAL OPTIMIZATION AND COMPUTATIONAL COMPLEXITY 9
2.1 COMBINATORIAL OPTIMIZATION 9
2.2 COMPUTATIONAL COMPLEXITY 12
2.3 APPROXIMATION VERSUS EXACT OPTIMIZATION 16
2.4 MULTI-OBJECTIVE OPTIMIZATION 17
3 STOCHASTIC SEARCH ALGORITHMS 21
3.1 EVOLUTIONARY ALGORITHMS 22
3.2 ANT COLONY OPTIMIZATION 28
3.3 OTHER STOCHASTIC SEARCH ALGORITHMS 30
4 ANALYZING STOCHASTIC SEARCH ALGORITHMS 33
4.1 SIMPLE STOCHASTIC SEARCH ALGORITHMS 33
4.2 BASIC METHODS FOR THE ANALYSIS 37
PART II SINGLE-OBJECTIVE OPTIMIZATION
5 MINIMUM SPANNING TREES 51
5.1 REPRESENTATION FOR EVOLUTIONARY ALGORITHMS 53
5.2 PROPERTIES OF LOCAL CHANGES 54
5.3 ANALYSIS OF EVOLUTIONARY ALGORITHMS 56
5.4 ANALYSIS OF ANT COLONY OPTIMIZATION 63
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1006975772
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
6 MAXIMUM MATCHINGS 75
6.1 REPRESENTATIONS AND UNDERLYING CONCEPTS 76
6.2 APPROXIMATION QUALITY FOR GENERAL GRAPHS 77
6.3 UPPER BOUNDS FOR SIMPLE GRAPH CLASSES 79
6.4 A WORST-CASE RESULT 85
7 MAKESPAN SCHEDULING 95
7.1 REPRESENTATIONS AND NEIGHBORHOOD STRUCTURE 96
7.2 WORST-CASE ANALYSIS 98
7.3 AVERAGE-CASE ANALYSIS 103
8 SHORTEST PATHS I LL
8.1 SINGLE SOURCE SHORTEST PATHS 112
8.2 ALL PAIRS SHORTEST PATHS 117
8.3 ANALYSIS OF ANT COLONY OPTIMIZATION 121
9 EULERIAN CYCLES 133
9.1 EDGE PERMUTATIONS 134
9.2 ADJACENCY LIST MATCHINGS 140
PART III MULTI-OBJECTIVE OPTIMIZATION
10 MULTI-OBJECTIVE MINIMUM SPANNING TREES 149
10.1 REPRESENTATION 150
10.2 EXTREMAL POINTS OF THE CONVEX HULL 150
10.3 ANALYSIS OF GSEMO 153
11 MINIMUM SPANNING TREES MADE EASIER 161
11.1 A TWO-OBJECTIVE MODEL 162
11.2 ANALYSIS OF THE EXPECTED OPTIMIZATION TIME 163
11.3 EXPERIMENTAL RESULTS 166
12 COVERING PROBLEMS 171
12.1 PROBLEM FORMULATION AND REPRESENTATION 172
12.2 SINGLE-OBJECTIVE OPTIMIZATION 173
12.3 MULTI-OBJECTIVE OPTIMIZATION 182
13 CUTTING PROBLEMS 191
13.1 SINGLE-OBJECTIVE APPROACHES 192
13.2 MULTI-OBJECTIVE MODEL FOR THE MULTICUT PROBLEM 196
A APPENDIX 205
A.I PROBABILITY DISTRIBUTIONS 205
A.2 DEVIATION INEQUALITIES 206
A.3 OTHER USEFUL FORMULAS 206
REFERENCES 209 |
| any_adam_object | 1 |
| author | Neumann, Frank Witt, Carsten |
| author_GND | (DE-588)134161556 (DE-588)1232222453 |
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| author_variant | f n fn c w cw |
| building | Verbundindex |
| bvnumber | BV036785134 |
| classification_rvk | SK 890 ST 134 |
| ctrlnum | (OCoLC)698569029 (DE-599)DNB1006975772 |
| dewey-full | 519.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.62 |
| dewey-search | 519.62 |
| dewey-sort | 3519.62 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV036785134 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T10:52:13Z |
| institution | BVB |
| isbn | 9783642265846 9783642165436 3642165435 |
| language | English |
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| physical | XII, 216 S. 235 mm x 155 mm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series2 | Natural Computing Series |
| spelling | Neumann, Frank Verfasser (DE-588)134161556 aut Bioinspired computation in combinatorial optimization algorithms and their computational complexity Frank Neumann ; Carsten Witt Berlin [u.a.] Springer 2010 XII, 216 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Natural Computing Series Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Berechnungskomplexität (DE-588)4134751-1 gnd rswk-swf Evolutionärer Algorithmus (DE-588)4366912-8 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 s Evolutionärer Algorithmus (DE-588)4366912-8 s Berechnungskomplexität (DE-588)4134751-1 s DE-604 Witt, Carsten Verfasser (DE-588)1232222453 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3537168&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020701664&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neumann, Frank Witt, Carsten Bioinspired computation in combinatorial optimization algorithms and their computational complexity Kombinatorische Optimierung (DE-588)4031826-6 gnd Berechnungskomplexität (DE-588)4134751-1 gnd Evolutionärer Algorithmus (DE-588)4366912-8 gnd |
| subject_GND | (DE-588)4031826-6 (DE-588)4134751-1 (DE-588)4366912-8 |
| title | Bioinspired computation in combinatorial optimization algorithms and their computational complexity |
| title_auth | Bioinspired computation in combinatorial optimization algorithms and their computational complexity |
| title_exact_search | Bioinspired computation in combinatorial optimization algorithms and their computational complexity |
| title_full | Bioinspired computation in combinatorial optimization algorithms and their computational complexity Frank Neumann ; Carsten Witt |
| title_fullStr | Bioinspired computation in combinatorial optimization algorithms and their computational complexity Frank Neumann ; Carsten Witt |
| title_full_unstemmed | Bioinspired computation in combinatorial optimization algorithms and their computational complexity Frank Neumann ; Carsten Witt |
| title_short | Bioinspired computation in combinatorial optimization |
| title_sort | bioinspired computation in combinatorial optimization algorithms and their computational complexity |
| title_sub | algorithms and their computational complexity |
| topic | Kombinatorische Optimierung (DE-588)4031826-6 gnd Berechnungskomplexität (DE-588)4134751-1 gnd Evolutionärer Algorithmus (DE-588)4366912-8 gnd |
| topic_facet | Kombinatorische Optimierung Berechnungskomplexität Evolutionärer Algorithmus |
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