Polytopes and scheduling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 220 S. |
Internformat
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| 100 | 1 | |a Schulz, Andreas S. |d 1969- |e Verfasser |0 (DE-588)1059153505 |4 aut | |
| 245 | 1 | 0 | |a Polytopes and scheduling |c vorgelegt von Andreas S. Schulz |
| 264 | 1 | |c 1996 | |
| 300 | |a VI, 220 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Techn. Univ., Diss., 1996 | ||
| 650 | 0 | 7 | |a Polytop |0 (DE-588)4175324-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
INTRODUCTION
1
1
POLYHEDRAL
APPROACHES
TO
MACHINE
SCHEDULING
7
1.1
INTRODUCTION
.
7
1.1.1
MACHINE
SCHEDULING
.
9
1.1.2
SUPERMODULAR
POLYHEDRA
.
10
1.2
NATURAL
DATE
VARIABLES
.
12
1.2.1
PRELIMINARIES
.
13
1.2.2
BASE
POLYTOPE
VS.
DOMINANT
.
14
1.2.3
LINEAR
DESCRIPTION
AND
SUPERMODULARITY
.
17
1.2.4
PRECEDENCE
CONSTRAINTS
.
20
1.2.5
FACETS
OF
THE
GENERALIZED
PERMUTAHEDRON
OF
A
POSET
.
25
1.2.6
ADDITIONAL
NOTES
AND
REFERENCES
.
32
1.3
TIME-INDEXED
VARIABLES
.
35
1.3.1
PROBLEM
FORMULATION
AND
COMPLEXITY
.
35
1.3.2
DIMENSION
AND
BASIC
FACETS
.
37
1.3.3
RELATIONS
TO
THE
GENERALIZED
PERMUTAHEDRON
.
39
1.3.4
IDENTICAL
PARALLEL
MACHINES
.
43
1.3.5
ADDITIONAL
NOTES
AND
REFERENCES
.
45
1.4
LINEAR
ORDERING
VARIABLES
.
47
1.4.1
THE
LINEAR
ORDERING
POLYTOPE
.
47
1.4.2
THE LINEAR
EXTENSION
POLYTOPE
.
49
1.4.3
ADDITIONAL
NOTES
AND
REFERENCES
.
54
1.5
POSITIONAL
DATE
AND
ASSIGNMENT
VARIABLES
.
55
1.5.1
A
FORMULATION
USING
POSITIONAL
AND
ASSIGNMENT
VARIABLES
.
55
1.5.2
POLYHEDRAL
STRUCTURE:
POSITIONAL
DATE
VARIABLES
.
57
1.5.3
MULTIPLE
MACHINE
EXTENSIONS
.
60
1.6
ADDITIONAL
NOTES
AND
REFERENCES
.
62
IV
CONTENTS
2
PERFORMANCE
GUARANTEES
OF
LP-BASED
HEURISTICS
AND
LOWER
BOUNDS
67
2.1
INTRODUCTION
.
67
2.2
SINGLE
MACHINE
WITH
PRECEDENCE
CONSTRAINTS
.
70
2.3
IDENTICAL
PARALLEL
MACHINES
.
75
2.3.1
INDEPENDENT
JOBS
.
75
2.3.2
UNIT
TIME
JOBS
AND
PRECEDENCE
CONSTRAINTS
.
79
2.3.3
PRECEDENCE
CONSTRAINTS
AND
RELEASE
DATES
.
82
2.4
UNIFORM
PARALLEL
MACHINES
.
84
2.5
FLOW
SHOP
.
91
2.6
MULTIPROCESSOR
FLOW
SHOP
.
93
2.7 PREEMPTIVE
SCHEDULING
.
96
2.8
CONCLUDING
REMARKS
.
98
3
SCHEDULING
JOBS
ON
PARALLEL
MACHINES
WITH
NONSTATIONARY
SPEEDS
101
3.1
INTRODUCTION
.
101
3.2
PRELIMINARIES
.
103
3.3
LINEAR
DESCRIPTION
AND
SUPERMODULARITY
.
104
3.4
COMPATIBLE
JOB
RELEASE
DATES
.
106
3.5
SPECIAL
CASES
.
113
3.6
ADDITIONAL
NOTES
.
114
4
TRANSITIVE
PACKING
117
4.1
INTRODUCTION
.
117
4.2
THE
TRANSITIVE
PACKING
POLYTOPE
.
119
4.3 THE
INDEPENDENCE
SYSTEM
POLYTOPE
.
123
4.4
VALID
INEQUALITIES
.
125
4.4.1
GENERALIZED
CYCLE
INEQUALITIES
.
126
4.4.2
GENERALIZED
CLIQUE
INEQUALITIES
.
133
4.4.3
GENERALIZED
ANTIHOLE
INEQUALITIES
.
137
4.4.4
GENERALIZED
ANTIWEB
INEQUALITIES
.
140
4.4.5
ODD
PARTITION
INEQUALITIES
.
142
4.5
TRANSITIVE
PACKING
IN
GRAPHS
.
145
4.6
SEPARATION
.
149
4.7
SPECIAL
POLYTOPES
.
152
4.7.1
THE
TRANSITIVE
ACYCLIC
SUBDIGRAPH
POLYTOPE
.
152
4.7.2
THE
RELATIVELY
TRANSITIVE
SUBDIGRAPH
POLYTOPE
.
154
4.8
ADDITIONAL
NOTES
AND
REFERENCES
.
155
CONTENTS
V
5
THE
INTERVAL
ORDER
POLYTOPE
159
5.1
INTRODUCTION
.
159
5.2
THE
INTERVAL
ORDER
POLYTOPE
OF
A
DIGRAPH
.
160
5.3
VALID
INEQUALITIES
.
166
5.3.1
ODD
CYCLE
INEQUALITIES
.
166
5.3.2
CLIQUE
INEQUALITIES
.
167
5.3.3
ANTIHOLE
AND
ANTIWEB
INEQUALITIES
.
169
5.4 RELATIONS
TO THE
LINEAR
ORDERING
POLYTOPE
.
171
5.4.1
SIMPLE
MOBIUS
LADDER
INEQUALITIES
.
172
5.4.2
WHEEL
INEQUALITIES
.
174
5.4.3
Z*
INEQUALITIES
.
176
5.4.4
FENCE
INEQUALITIES
.
177
5.5
INTERVAL
GRAPH
COMPLETION
.
178
5.6
COMPLETE
DESCRIPTION
OF
THE
ANTIDOMINANT
.
183
5.7
RESOURCE
CONSTRAINED
SCHEDULING
AND
OTHER
APPLICATIONS
.
189
CONCLUDING
REMARKS
193
A
GRAPHS,
DIGRAPHS,
AND
POSETS
195
B
POLYHEDRAL
THEORY
197
C
CLASSIFICATION
OF
MACHINE
SCHEDULING
PROBLEMS
201
BIBLIOGRAPHY
203
INDEX
215
ZUSAMMENFASSUNG
221 |
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| author | Schulz, Andreas S. 1969- |
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| bvnumber | BV010770503 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-13T00:26:34Z |
| institution | BVB |
| language | English |
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| oclc_num | 64534180 |
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| physical | VI, 220 S. |
| publishDate | 1996 |
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| spelling | Schulz, Andreas S. 1969- Verfasser (DE-588)1059153505 aut Polytopes and scheduling vorgelegt von Andreas S. Schulz 1996 VI, 220 S. txt rdacontent n rdamedia nc rdacarrier Berlin, Techn. Univ., Diss., 1996 Polytop (DE-588)4175324-0 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Scheduling (DE-588)4179449-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Scheduling (DE-588)4179449-7 s Kombinatorische Optimierung (DE-588)4031826-6 s Polytop (DE-588)4175324-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schulz, Andreas S. 1969- Polytopes and scheduling Polytop (DE-588)4175324-0 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd Scheduling (DE-588)4179449-7 gnd |
| subject_GND | (DE-588)4175324-0 (DE-588)4031826-6 (DE-588)4179449-7 (DE-588)4113937-9 |
| title | Polytopes and scheduling |
| title_auth | Polytopes and scheduling |
| title_exact_search | Polytopes and scheduling |
| title_full | Polytopes and scheduling vorgelegt von Andreas S. Schulz |
| title_fullStr | Polytopes and scheduling vorgelegt von Andreas S. Schulz |
| title_full_unstemmed | Polytopes and scheduling vorgelegt von Andreas S. Schulz |
| title_short | Polytopes and scheduling |
| title_sort | polytopes and scheduling |
| topic | Polytop (DE-588)4175324-0 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd Scheduling (DE-588)4179449-7 gnd |
| topic_facet | Polytop Kombinatorische Optimierung Scheduling Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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