Combinatorial algorithms with performance guarantees for finding several Hamiltonian circuits in a complete directed weighted graph
In this paper we present two new polynomial algorithms for the asymmetric version of the m-Peripatetic Salesman Problem (m-APSP) which consists in finding m edge-disjoint Hamiltonian circuits of extremal total weight in a complete weighted digraph. The first algorithm solves the asymmetric 2-PSP on...
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Published in: | Discrete Applied Mathematics Vol. 196; pp. 54 - 61 |
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Main Authors: | , , , , |
Format: | Journal Article |
Language: | English |
Published: |
Elsevier B.V
11-12-2015
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Subjects: | |
Online Access: | Get full text |
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Summary: | In this paper we present two new polynomial algorithms for the asymmetric version of the m-Peripatetic Salesman Problem (m-APSP) which consists in finding m edge-disjoint Hamiltonian circuits of extremal total weight in a complete weighted digraph. The first algorithm solves the asymmetric 2-PSP on maximum. Its approximation ratio is equal to 2/3. The second algorithm deals with the minimization version of the asymmetric m-PSP on random instances. For this algorithm conditions for asymptotically exactness are presented. |
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ISSN: | 0166-218X 1872-6771 |
DOI: | 10.1016/j.dam.2015.03.007 |