Combinatorial optimization problems arising in the design and management of an automatic storage system:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 209 S. graph. Darst. |
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MARC
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| 100 | 1 | |a Abdel-Hamid, Atef Abdel-Aziz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Combinatorial optimization problems arising in the design and management of an automatic storage system |c vorglegt von Atef Abdel-Aziz Abdel-Hamid |
| 264 | 1 | |c 1994 | |
| 300 | |a 209 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Techn. Univ., Diss., 1994 | ||
| 650 | 4 | |a Lager - Automation - Kombinatorische Optimierung | |
| 650 | 0 | 7 | |a Kombinatorische Optimierung |0 (DE-588)4031826-6 |2 gnd |9 rswk-swf |
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| _version_ | 1807321134812626944 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
4
1
MATHEMATICAL
PRELIMINARIES
7
1.1
LINEAR
ALGEBRA
AND
POLYHEDRAL
THEORY
.
7
1.2
LINEAR
PROGRAMMING
.
12
1.3
GRAPH
THEORY
.
14
1.4
COMPUTATIONAL
COMPLEXITY
THEORY
.
18
2
THE
"
SNI-WERK
FUR
ARBEITPLATZSYSTEME
"
AS
A
MODEL
FOR
A
FLEXIBLE
MANUFACTURING
SYSTEM
22
2.1
PHYSICAL
LAYOUT
.
23
2.1.1
DIFFERENT
SECTIONS
OF
THE
FACTORY
.
23
2.1.2
A
PRODUCTION
HALL
OF
THE
MANUFACTURING
SECTION
.
24
2.2
PRODUCTION
LOGISTIC
.
29
3
ANALYSIS
OF
THE
AUTOMATIC
STORAGE
SYSTEM
32
3.1
THE
WAREHOUSE
.
32
3.1.1
THE
SHAPES
OF
THE
STORAGE
LOCATIONS
.
35
3.1.2
THE
COORDINATES
OF
THE
STORAGE
LOCATIONS
.
36
3.1.3
THE
BUFFER
PLACES
.
38
3.2
THE
STACKER
CRANE
.
38
3.2.1
THE
TASKS
OF
THE
STACKER
CRANE
.
39
3.3
ADDRESSING
THE
OPTIMIZATION
PROBLEMS
.
41
3.3.1
THE
WAREHOUSE
LAYOUT
PROBLEM
.
41
3.3.2
THE
STORAGE
ASSIGNMENT
PROBLEM
.
42
3.3.3
THE
ORDER
PICKING
PROBLEM
.
45
2
CONTENTS
4
MODELLING
OF
THE
OPTIMIZATION
PROBLEMS
48
4.1
MODELLING
OF
THE
WAREHOUSE
LAYOUT
PROBLEM
.
48
4.2
MODELLING
OF
THE
ORDER
PICKING
PROBLEM
.
51
4.2.1
THE
MODELLING
.
51
4.2.2
COMPARISON
BETWEEN
PRIORITY
RULE
AND
THE
NEW
APPROACH
.
52
4.2.3
SURVEY
.
55
4.3
MODELLING
OF
THE
STORAGE
ASSIGNMENT
PROBLEM
.
56
4.3.1
THE
GRAPH
THEORETICAL
MODEL
.
'
.
56
4.3.2
THE
INTEGER
PROGRAMMING
MODEL
.
58
4.3.3
COMPARISON
BETWEEN
GREEDY
ASSIGNMENT
RULE
AND
THE
NEW
APPROACH
.
62
4.3.4
SURVEY
.
63
5
COMPUTATIONAL
COMPLEXITY
65
5.1
INTRODUCTION
.
65
5.2
COMPLEXITY
OF
BAP
.
66
5.3
SOLVABLE
SPECIAL
CASES
.
75
5.4
COMPLEXITY
OF
GBAP
.
78
6
THE
POLYTOPES
81
6.1
DEFINITIONS
AND
BASIC
RESULTS
.
81
6.2
RELATIONS
OF
GBAP
TO
LGBAP
AND
LGAP
.
98
6.3
VALID
INEQUALITIES
AND
FACETS
.
102
-
TRIVIAL
INEQUALITIES
.
104
-
CAPACITY
(KNAPSACK)
INEQUALITIES
.
106
-
INDIVIDUAL
MINIMUM
COVER
INEQUALITIES
.
ILL
-
GENERALIZATION
OF
INDIVIDUAL
MINIMUM
COVER
INEQUALITIES
118
-
AGGREGATED
MINIMUM
COVER
INEQUALITIES
.
123
-
GENERALIZATION
OF
AGGREGATED
MINIMUM
COVER
INEQUAL
ITIES
.
131
-
CYCLE
INEQUALITIES
.
134
6.4
THE
VERTICES
OF
THE
RELAXED
POLYTOPE
.
144
7
A
CUTTING
PLANE
ALGORITHM
147
7.1
THE
MAIN
IDEA
OF
THE
ALGORITHM
.
147
7.2
PREPROCESSING
.
150
CONTENTS
3
7.3
UPPER
BOUND
HEURISTICS
.
151
7.3.1
THE
TWO-ASSIGNMENT
HEURISTIC
.
151
7.3.2
VARIABLE
FIXING
PROCEDURE
.
154
7.3.3
THE
LP-BASED
HEURISTIC
.
155
7.4
CUTTING
PLANE
GENERATION
PROCEDURE
.
156
7.4.1
SEPARATION
OF
INDIVIDUAL
MINIMUM
COVER
INEQUAL
ITIES
.
157
7.4.2
SEPARATION
OF
AGGREGATED
MINIMUM
COVER
INEQUAL
ITIES
.
158
7.5
DESCRIPTION
OF
THE
ALGORITHM
.
159
8
IMPLEMENTATION
AND
COMPUTATIONAL
RESULTS
162
8.1
THE
PROBLEM
INSTANCES
AND
THE
COMPUTATIONAL
RESULTS
.
162
8.2
DISCUSSION
OF
OTHER
SOLUTION
TECHNIQUES
.
177
8.2.1
SOLUTION
TECHNIQUE
OF
SRINIVASAN
AND
THOMPSON
.
177
8.2.2
SOLUTION
TECHNIQUE
OF
JORNSTEN
AND
NASBERG
.
.
.
178
CONCLUSION
185
APPENDIX
I
188
APPENDIX
II
196
REFERENCES
206 |
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| indexdate | 2024-08-14T00:35:46Z |
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| language | English |
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| spelling | Abdel-Hamid, Atef Abdel-Aziz Verfasser aut Combinatorial optimization problems arising in the design and management of an automatic storage system vorglegt von Atef Abdel-Aziz Abdel-Hamid 1994 209 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berlin, Techn. Univ., Diss., 1994 Lager - Automation - Kombinatorische Optimierung Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Automation (DE-588)4003957-2 gnd rswk-swf Lager (DE-588)4125574-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lager (DE-588)4125574-4 s Automation (DE-588)4003957-2 s Kombinatorische Optimierung (DE-588)4031826-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006449800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abdel-Hamid, Atef Abdel-Aziz Combinatorial optimization problems arising in the design and management of an automatic storage system Lager - Automation - Kombinatorische Optimierung Kombinatorische Optimierung (DE-588)4031826-6 gnd Automation (DE-588)4003957-2 gnd Lager (DE-588)4125574-4 gnd |
| subject_GND | (DE-588)4031826-6 (DE-588)4003957-2 (DE-588)4125574-4 (DE-588)4113937-9 |
| title | Combinatorial optimization problems arising in the design and management of an automatic storage system |
| title_auth | Combinatorial optimization problems arising in the design and management of an automatic storage system |
| title_exact_search | Combinatorial optimization problems arising in the design and management of an automatic storage system |
| title_full | Combinatorial optimization problems arising in the design and management of an automatic storage system vorglegt von Atef Abdel-Aziz Abdel-Hamid |
| title_fullStr | Combinatorial optimization problems arising in the design and management of an automatic storage system vorglegt von Atef Abdel-Aziz Abdel-Hamid |
| title_full_unstemmed | Combinatorial optimization problems arising in the design and management of an automatic storage system vorglegt von Atef Abdel-Aziz Abdel-Hamid |
| title_short | Combinatorial optimization problems arising in the design and management of an automatic storage system |
| title_sort | combinatorial optimization problems arising in the design and management of an automatic storage system |
| topic | Lager - Automation - Kombinatorische Optimierung Kombinatorische Optimierung (DE-588)4031826-6 gnd Automation (DE-588)4003957-2 gnd Lager (DE-588)4125574-4 gnd |
| topic_facet | Lager - Automation - Kombinatorische Optimierung Kombinatorische Optimierung Automation Lager Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006449800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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