Abstract
The Traveling Salesman Problem (TSP) is one of the most illustrious and extensively studied problems in the field of Combinatorial Optimization. Covering just the period from 1993 to mid-2001 alone, the web databases of INFORMS and Decision Sciences report more than 150 papers devoted to the TSP. The problem can be stated in graph theory terms as follows. Let G = (V, A) be a weighted complete graph, where V = {v 1,..., v n } is a vertex (node) set and A = {(v i , v j )¦v i , v j ∈ V,i ≠ j} is an edge set. C = [c(v i ,v j )] is a n * n matrix associated with A, where c(v i ,v j ) is a non-negative weight (distance or cost) on edge (v i ,v j ) if there is an edge between v i and v j . Otherwise c(v i ,v j ) is infinity.
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© 2007 Springer Science+Business Media, LLC
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Rego, C., Glover, F. (2007). Local Search and Metaheuristics. In: Gutin, G., Punnen, A.P. (eds) The Traveling Salesman Problem and Its Variations. Combinatorial Optimization, vol 12. Springer, Boston, MA. https://doi.org/10.1007/0-306-48213-4_8
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DOI: https://doi.org/10.1007/0-306-48213-4_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-44459-8
Online ISBN: 978-0-306-48213-7
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