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.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1992
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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.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1992
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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.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2003
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