Linear time algorithm for Precedence Constrained Asymmetric Generalized Traveling Salesman Problem / Chentsov A., Khachay M., Khachay D. // IFAC-PapersOnLine. - 2016. - V. 49, l. 12. - P. 651-655.

ISSN:
24058963
Type:
Article
Abstract:
We consider the combinatorial optimization problem of visiting clusters of a fixed number of nodes (cities), where, on the set of clusters should be visited according to some kind of partial order defined by additional precedence constraints. This problem is a kind of the Asymmetric Generalized Traveling Salesman Problem (AGTSP). To find an optimal solution of the problem, we propose a dynamic programming based on algorithm extending the well known Held and Karp technique. In terms of special type of precedence constraints, we describe subclasses of the problem, with polynomial (or even linear) in n upper bounds of time complexity. © 2016
Author keywords:
Asymmetric Generalized Traveling Salesman Problem (AGTSP); dynamic programming; NP-hard problem
Index keywords:
Clustering algorithms; Combinatorial optimization; Computational complexity; Dynamic programming; Optimization; Combinatorial optimization problems; Fixed numbers; Generalized traveling salesman probl
DOI:
10.1016/j.ifacol.2016.07.767
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84992365688&doi=10.1016%2fj.ifacol.2016.07.767&partnerID=40&md5=3a1e141b10d2f6ec1c98473b8f76c5ff
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84992365688&doi=10.1016%2fj.ifacol.2016.07.767&partnerID=40&md5=3a1e141b10d2f6ec1c98473b8f76c5ff
Affiliations Krasovsky Institute of Mathematics and Mechanics, Ural Federal University, 16 S.Kovalevskoy str., 19 Mira str, Ekaterinburg, Russian Federation
Author Keywords Asymmetric Generalized Traveling Salesman Problem (AGTSP); dynamic programming; NP-hard problem
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Publisher Elsevier B.V.
Language of Original Document English
Abbreviated Source Title IFAC-PapersOnLine
Source Scopus