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The traveling salesman problem: an overview of exact and approximate algorithms

Article Abstract:

Exact and approximate algorithms for the traveling salesman problem (TSP) are presented. These are integer linear programming formulations; assignment lower bound and related branch-and-bound algorithms; the shortest spanning arborescence bound; the shortest spanning tree bound; the 2-matching lower bound; heuristics with guaranteed worst-case performance; heuristics with good empirical performance; composite algorithms; and related algorithms. These algorithms yield solutions to the TSP with over 2000 vertices using constraint relaxation algorithms. Tabu search methods and generalized insertion algorithms are also proposed as potentially powerful heuristics.

Author: Laporte, Gilbert
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1992
Combinatorial optimization, Traveling-salesman problem

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The vehicle routing problem: an overview of exact and approximate algorithms

Article Abstract:

Exact and appropriate mathematical models are presented which can help solve vehicle routing problems (VRP), a central concern in logistics and distribution management. Exact calculations, however, can address only relatively minor problems. Several approximate algorithms produce satisfactory solutions. Many potential areas for further research include the tabu search methods.

Author: Laporte, Gilbert
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1992
Traffic flow

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Real-time vehicle routing: solution concepts, algorithms and parallel computing strategies

Article Abstract:

A new generation of fast on-line algorithms capable of taking into account the uncertainty is developed. A particular emphasis is put on parallel computing strategies.

Author: Laporte, Gilbert, Ghiani, Gianpaolo, Guerriero, Francesca, Musmanno, Roberto
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2003
Usage, Algorithm, Heuristic, Parallel processing, Heuristics (Psychology)

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Subjects list: Models, Algorithms
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