The traveling salesman problem:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Heidelberg
IWR
1994
|
| Schriftenreihe: | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint
1994,12 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 101 - 109 |
| Beschreibung: | IV, 112 S. graph. Darst. |
Internformat
MARC
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| 035 | |a (DE-599)BVBBV009702562 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91G | ||
| 084 | |a MAT 908f |2 stub | ||
| 100 | 1 | |a Jünger, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The traveling salesman problem |c M. Jünger ; G. Reinelt ; G. Rinaldi. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg |
| 264 | 1 | |a Heidelberg |b IWR |c 1994 | |
| 300 | |a IV, 112 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |v 1994,12 | |
| 500 | |a Literaturverz. S. 101 - 109 | ||
| 700 | 1 | |a Reinelt, Gerhard |e Verfasser |4 aut | |
| 700 | 1 | |a Rinaldi, Giovanni |e Verfasser |4 aut | |
| 830 | 0 | |a Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |v 1994,12 |w (DE-604)BV005600191 |9 1994,12 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006417909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006417909 | |
Datensatz im Suchindex
| _version_ | 1807321137269440512 |
|---|---|
| adam_text |
CONTENTS
1.
INTRODUCTION
1
2.
RELATED
PROBLEMS
3
TRAVELING
SALESMAN
PROBLEMS
IN
GENERAL
GRAPHS
.
3
THE
GRAPHICAL
TRAVELING
SALESMAN
PROBLEM
.
4
HAMILTONIAN
AND
SEMI-HAMILTONIAN
GRAPHS
.
4
THE
ASYMMETRIC
TRAVELING
SALESMAN
PROBLEM
.
4
THE
MULTISALESMEN
PROBLEM
.
5
THE
RURAL
POSTMAN
PROBLEM
.
5
THE
SHORTEST
HAMILTONIAN
PATH
PROBLEM
.
6
THE
BOTTLENECK
TRAVELING
SALESMAN
PROBLEM
.
6
3.
PRACTICAL
APPLICATIONS
7
DRILLING
OF
PRINTED
CIRCUIT
BOARDS
.
7
X-RAY
CRYSTALLOGRAPHY
.
8
OVERHAULING
GAS
TURBINE
ENGINES
.
8
THE
ORDER-PICKING
PROBLEM
IN
WAREHOUSES
.
8
COMPUTER
WIRING
.
9
SCHEDULING
WITH
SEQUENCE
DEPENDENT
PROCESS
TIMES
.
9
VEHICLE
ROUTING
.
9
MASK
PLOTTING
IN
PCB
PRODUCTION
.
10
CONTROL
OF
ROBOT
MOTIONS
.
10
4.
APPROXIMATION
ALGORITHMS
FOR
THE
TSP
10
4.1.
CONSTRUCTION
HEURISTICS
.
12
NEAREST
NEIGHBOR
HEURISTICS
.
13
INSERTION
HEURISTICS
.
14
HEURISTICS
BASED
ON
SPANNING
TREES
.
16
SAVINGS
METHODS
.
19
4.2.
IMPROVEMENT
HEURISTICS
.
23
TWO-OPT
EXCHANGE
.
23
THE
3-OPT
HEURISTIC
AND
VARIANTS
.
25
LIN-KEMIGHAN
TYPE
EXCHANGE
.
27
4.3.
SPECIAL
PURPOSE
ALGORITHMS
FOR
GEOMETRIC
INSTANCES
.
33
GEOMETRIC
HEURISTICS
.
33
CONVEX
HULL
STARTS
.
36
DELAUNAY
GRAPHS
.
36
THE
TRAVELING
SALESMAN
PROBLEM
III
MINIMUM
SPANNING
TREES
.
38
IMPLEMENTING
THE
NEAREST
NEIGHBOR
HEURISTIC
EFFICIENTLY
.
38
COMPUTING
CANDIDATE
SETS
EFFICIENTLY
.
38
4.4.
A
SURVEY
OF
OTHER
RECENT
APPROACHES
.
40
SIMULATED
ANNEALING
.
40
EVOLUTIONARY
STRATEGIES
AND
GENETIC
ALGORITHMS
.
43
TABU
SEARCH
.
44
NEURAL
NETWORKS
.
44
5.
RELAXATIONS
45
5.1.
SUBTOUR
RELAXATION
.
47
5.2.
1-TREE
RELAXATION
.
'
.
T
.
48
5.3.
2-MATCHING
RELAXATION
.
50
5.4.
STRONG
LP
RELAXATIONS
.
51
5.5.
KNOWN
FACETS
OF
STSP(N)
.
52
TRIVIAL
INEQUALITIES
.
53
SUBTOUR
ELIMINATION
INEQUALITIES
.
53
COMB
INEQUALITIES
.
54
CLIQUE-TREE
INEQUALITIES
.
54
PWB
INEQUALITIES
.
55
LADDER
INEQUALITIES
.
57
CROWN
INEQUALITIES
.
58
EXTENSIONS
OF
FACET-DEFINING
INEQUALITIES
.
58
2-SUM
COMPOSITION
OF
PATH
INEQUALITIES
.
.
60
RELATIONS
BETWEEN
TT
AND
OTHER
INEQUALITIES
.
62
OTHER
FACET-DEFINING
INEQUALITIES
.
62
OTHER
VALID
INEQUALITIES
FOR
STSP(N)
.
62
5.6.
THE
SEPARATION
PROBLEM
FOR
STSP(N)
.
63
THE
SEPARATION
FOR
SUBTOUR
ELIMINATION
INEQUALITIES
.
65
THE
SEPARATION
FOR
THE
2-MATCHING
INEQUALITIES
.
66
THE
SEPARATION
FOR
COMB
INEQUALITIES
.
67
THE
SEPARATION
FOR
CLIQUE-TREE
INEQUALITIES
.
69
THE
SEPARATION
FOR
PWB
INEQUALITIES
.
69
5.7.
COMPARISON
OF
LP
RELAXATIONS
.
69
6.
FINDING
OPTIMAL
AND
PROVABLY
GOOD
SOLUTIONS
.71
6.1.
BRANCH
AND
BOUND
.
72
6.2.
1-TREE
RELAXATION
.
73
6.3.
LP
RELAXATIONS
.
75
6.4.
ENUMERATIVE
FRAME
.
81
INITIALIZE
.
81
BOUNDING
.
81
INITIALIZE
FIXING,
FIXBYREDCOST
.
82
IV
M.
JUNGER,
G.
REINELT
AND
G.
RINALDI
FIXBYLOGIMP
.
83
SETBYREDCOST
.
83
SETBYLOGIMP
.
83
BRANCH
.
84
SELECT
.
84
CONTRAPRUNING
.
84
FATHOM
.
85
OUTPUT
.
85
6.5.
COMPUTATION
OF
LOWER
AND
UPPER
BOUNDS
.
85
INITIALIZE
NEW
NODE
.
.
85
SOLVE
LP
.
86
ADD
VARIABLES
.
86
EXPLOIT
LP
.
87
SEPARATE
.
87
ELIMINATE
.
'.
88
PRICE
OUT
.
88
6.6.
DATA
STRUCTURES
.
89
SPARSE
GRAPHS
.
89
BRANCH
AND
CUT
NODES
.
89
ACTIVE
NODES
.
90
TEMPORARILY
SET
VARIABLES
.
90
CONSTRAINT
POOL
.
90
7.
COMPUTATION
91
7.1.
OPTIMAL
SOLUTIONS
.
91
SOME
EUCLIDEAN
INSTANCES
FROM
TSPLIB
.
92
SOME
DIFFICULT
EUCLIDEAN
INSTANCES
.
92
SOME
DIFFICULT
NON
EUCLIDEAN
INSTANCES
.
94
RANDOMLY
GENERATED
INSTANCES
.
94
INSTANCES
ARISING
FROM
TRANSFORMATIONS
.
95
7.2.
PROVABLY
GOOD
SOLUTIONS
.
97
7.3.
CONCLUSIONS
.
100
ACKNOWLEDGEMENTS
101
REFERENCES
101
INDEX
OF
DEFINITIONS
110 |
| any_adam_object | 1 |
| author | Jünger, Michael Reinelt, Gerhard Rinaldi, Giovanni |
| author_facet | Jünger, Michael Reinelt, Gerhard Rinaldi, Giovanni |
| author_role | aut aut aut |
| author_sort | Jünger, Michael |
| author_variant | m j mj g r gr g r gr |
| building | Verbundindex |
| bvnumber | BV009702562 |
| classification_tum | MAT 908f |
| ctrlnum | (OCoLC)75473401 (DE-599)BVBBV009702562 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-14T00:35:48Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006417909 |
| oclc_num | 75473401 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | IV, 112 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | IWR |
| record_format | marc |
| series | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |
| series2 | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |
| spelling | Jünger, Michael Verfasser aut The traveling salesman problem M. Jünger ; G. Reinelt ; G. Rinaldi. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg Heidelberg IWR 1994 IV, 112 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint 1994,12 Literaturverz. S. 101 - 109 Reinelt, Gerhard Verfasser aut Rinaldi, Giovanni Verfasser aut Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint 1994,12 (DE-604)BV005600191 1994,12 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006417909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jünger, Michael Reinelt, Gerhard Rinaldi, Giovanni The traveling salesman problem Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |
| title | The traveling salesman problem |
| title_auth | The traveling salesman problem |
| title_exact_search | The traveling salesman problem |
| title_full | The traveling salesman problem M. Jünger ; G. Reinelt ; G. Rinaldi. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg |
| title_fullStr | The traveling salesman problem M. Jünger ; G. Reinelt ; G. Rinaldi. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg |
| title_full_unstemmed | The traveling salesman problem M. Jünger ; G. Reinelt ; G. Rinaldi. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg |
| title_short | The traveling salesman problem |
| title_sort | the traveling salesman problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006417909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005600191 |
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