On the approximability of location and network design problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Aachen
Shaker
1997
|
| Series: | Berichte aus der Informatik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Würzburg, Univ., Diss., 1997 |
| Physical Description: | IV, 203 S. graph. Darst. |
| ISBN: | 3826527186 |
Staff View
MARC
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| 245 | 1 | 0 | |a On the approximability of location and network design problems |c Sven Oliver Krumke |
| 264 | 1 | |a Aachen |b Shaker |c 1997 | |
| 300 | |a IV, 203 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Informatik | |
| 500 | |a Zugl.: Würzburg, Univ., Diss., 1997 | ||
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
2
PRELIMINARIES
11
2.1
BASIC
NOTATION
.
11
2.2
THEORY
OF
COMPUTATION
.
12
2.3
GRAPH
THEORY
.
15
3
APPROXIMATION
ALGORITHMS
21
3.1
OPTIMIZATION
PROBLEMS
.
21
3.2
PERFORMANCE
GUARANTEES
.
24
3.3
MULTICRITERIA
AND
UNICRITERION
APPROXIMATION
.
31
3.4
HARDNESS
OF
APPROXIMATION
.
35
3.5
ALGORITHMIC
TECHNIQUES
.
37
3.6
ALTERNATIVES
TO
APPROXIMATION
ALGORITHMS
.
42
4
A
GENERALIZATION
OF
THE
P-CENTER
PROBLEM
43
4.1
INTRODUCTION
.
43
4.2
PRELIMINARIES
AND
PROBLEM
DEFINITION
.
44
4.3
RELATED
WORK
.
45
4.4
SOME
BASIC
LEMMAS
.
45
4.5
AN
APPROXIMATION
ALGORITHM
.
48
4.6
HARDNESS
RESULTS
.
51
5
COMPACT
LOCATION
PROBLEMS
55
5.1
INTRODUCTION
.
55
5.2
PRELIMINARIES
AND
PROBLEM
DEFINITIONS
.
57
5.3
RELATED
WORK
.
59
5.4
SOME
BASIC
LEMMAS
.
59
5.5
ALGORITHMS
FOR
DIAMETER
CONSTRAINED
PROBLEMS
.
62
5.6
ALGORITHMS
FOR
SUM
CONSTRAINED
PROBLEMS
.
67
5.7
EXTENSION
TO
THE
NODE-WEIGHTED
CASE
.
75
5.8
HARDNESS
RESULTS
.
76
5.9
COMPACT
LOCATION
PROBLEMS
FOR
TREE
NETWORKS
.
80
5.10
GEOMETRIC
VERSIONS
.
91
CONTENTS
6
NODE
WEIGHTED
NETWORK
UPGRADING
95
6.1
INTRODUCTION
.
95
6.2
PRELIMINARIES
AND
PROBLEM
DEFINITION
.
96
6.3
SYMMETRIC
PROBLEMS
.
97
6.4
RELATED
WORK
.100
6.5
AN
ALGORITHM
FOR
BOTTLENECK
UPGRADING
.100
6.6
USING
THE
PROOF
TECHNIQUES
FOR
THE
ANALYSIS
OF
ALGORITHMS
.
.
.
113
6.7
IMPROVED
APPROXIMATION
ALGORITHMS
FOR
UNIT
COSTS
.
116
6.8
TREEWIDTH-BOUNDED
GRAPHS
.123
6.9
HARDNESS
RESULTS
.
126
6.10
THE
LINK
DELAY
PROBLEM
.129
7
NETWORK
EDGE
IMPROVEMENT
PROBLEMS
133
7.1
INTRODUCTION
.133
7.2
PRELIMINARIES
AND
PROBLEM
DEFINITION
.134
7.3
STRUCTURE
OF
AN
OPTIMAL
SOLUTION
.
137
7.4
APPROXIMATION
ALGORITHMS
ON
GENERAL
GRAPHS
.139
7.5
EXTENSION
TO
STEINER
TREES
AND
OTHER
NETWORKS
.
149
7.6
AN
IMPROVED
ALGORITHM
FOR
LINEAR
REDUCTION
COSTS
.
151
7.7
ALGORITHMS
FOR
TREEWIDTH
BOUNDED
GRAPHS
AND
LINEAR
COSTS
.
.
154
7.8
HARDNESS
RESULTS
.159
8
EDGE
IMPROVEMENT
WITH
FOCUS
ON
CONSTRAINED
STEINER
TREES
163
8.1
INTRODUCTION
.163
8.2
PRELIMINARIES
AND
PROBLEM
DEFINITIONS
.
164
8.3
DIAMETER
CONSTRAINED
STEINER
TREES
.165
8.4
DEGREE
CONSTRAINED
STEINER
TREES
.
175
8.5
HARDNESS
RESULTS
.184
9
CONCLUSION
187
A
NOTATIONAL
CONVENTIONS
189
BIBLIOGRAPHY
190
INDEX
199 |
| any_adam_object | 1 |
| author | Krumke, Sven O. |
| author_GND | (DE-588)135671175 |
| author_facet | Krumke, Sven O. |
| author_role | aut |
| author_sort | Krumke, Sven O. |
| author_variant | s o k so sok |
| building | Verbundindex |
| bvnumber | BV011434663 |
| classification_rvk | SK 890 |
| classification_tum | DAT 195d DAT 250d |
| ctrlnum | (OCoLC)845456754 (DE-599)BVBBV011434663 |
| discipline | Informatik Mathematik |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV011434663 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:25:45Z |
| institution | BVB |
| isbn | 3826527186 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007689987 |
| oclc_num | 845456754 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-355 DE-BY-UBR DE-29T |
| owner_facet | DE-20 DE-384 DE-355 DE-BY-UBR DE-29T |
| physical | IV, 203 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Informatik |
| spelling | Krumke, Sven O. Verfasser (DE-588)135671175 aut On the approximability of location and network design problems Sven Oliver Krumke Aachen Shaker 1997 IV, 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Informatik Zugl.: Würzburg, Univ., Diss., 1997 Approximation (DE-588)4002498-2 gnd rswk-swf Multikriteria-Entscheidung (DE-588)4126083-1 gnd rswk-swf Optimierungsproblem (DE-588)4390818-4 gnd rswk-swf Polynomialzeitalgorithmus (DE-588)4199652-5 gnd rswk-swf Standortproblem (DE-588)4301515-3 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf NP-vollständiges Problem (DE-588)4138229-8 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Netzwerk (DE-588)4171529-9 s Algorithmus (DE-588)4001183-5 s DE-604 Standortproblem (DE-588)4301515-3 s Approximation (DE-588)4002498-2 s Polynomialzeitalgorithmus (DE-588)4199652-5 s Graph (DE-588)4021842-9 s Optimierungsproblem (DE-588)4390818-4 s NP-vollständiges Problem (DE-588)4138229-8 s Multikriteria-Entscheidung (DE-588)4126083-1 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krumke, Sven O. On the approximability of location and network design problems Approximation (DE-588)4002498-2 gnd Multikriteria-Entscheidung (DE-588)4126083-1 gnd Optimierungsproblem (DE-588)4390818-4 gnd Polynomialzeitalgorithmus (DE-588)4199652-5 gnd Standortproblem (DE-588)4301515-3 gnd Graph (DE-588)4021842-9 gnd NP-vollständiges Problem (DE-588)4138229-8 gnd Netzwerk (DE-588)4171529-9 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4126083-1 (DE-588)4390818-4 (DE-588)4199652-5 (DE-588)4301515-3 (DE-588)4021842-9 (DE-588)4138229-8 (DE-588)4171529-9 (DE-588)4001183-5 (DE-588)4113937-9 |
| title | On the approximability of location and network design problems |
| title_auth | On the approximability of location and network design problems |
| title_exact_search | On the approximability of location and network design problems |
| title_full | On the approximability of location and network design problems Sven Oliver Krumke |
| title_fullStr | On the approximability of location and network design problems Sven Oliver Krumke |
| title_full_unstemmed | On the approximability of location and network design problems Sven Oliver Krumke |
| title_short | On the approximability of location and network design problems |
| title_sort | on the approximability of location and network design problems |
| topic | Approximation (DE-588)4002498-2 gnd Multikriteria-Entscheidung (DE-588)4126083-1 gnd Optimierungsproblem (DE-588)4390818-4 gnd Polynomialzeitalgorithmus (DE-588)4199652-5 gnd Standortproblem (DE-588)4301515-3 gnd Graph (DE-588)4021842-9 gnd NP-vollständiges Problem (DE-588)4138229-8 gnd Netzwerk (DE-588)4171529-9 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Approximation Multikriteria-Entscheidung Optimierungsproblem Polynomialzeitalgorithmus Standortproblem Graph NP-vollständiges Problem Netzwerk Algorithmus Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT krumkesveno ontheapproximabilityoflocationandnetworkdesignproblems |