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Proceedings of the Institute for System Programming of the RAS, 2017, Volume 29, Issue 4, Pages 107–122
DOI: https://doi.org/10.15514/ISPRAS-2017-29(4)-7
(Mi tisp238)
 

This article is cited in 2 scientific papers (total in 2 papers)

The mixed chinese postman problem

M. K. Gordenko, S. M. Avdoshin

National Research University Higher School of Economics
References:
Abstract: The routing problems are important for logistic and transport sphere. Basically, the routing problems related to determining the optimal set of routes in the multigraph. The Chinese postman problem (CPP) is a special case of the routing problem, which has many potential applications. We propose to solve the MCPP (special NP-hard case of CPP, which defined on mixed multigraph) using the reduction of the original problem into General Travelling Salesman Problem (GTSP). The variants of CPP are pointed out. The mathematical formulations of some problems are presented. The algorithm for reduction the MCPP in multigraph into GTSP is shown. The experimental results of solving MCPP in multigraph through the reduction into GTSP are presented.
Keywords: Mixed Chinese Postman Problem, Arc Routing Problem, heuristic algorithm, Traveling Salesman Problem.
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. K. Gordenko, S. M. Avdoshin, “The mixed chinese postman problem”, Proceedings of ISP RAS, 29:4 (2017), 107–122
Citation in format AMSBIB
\Bibitem{GorAvd17}
\by M.~K.~Gordenko, S.~M.~Avdoshin
\paper The mixed chinese postman problem
\jour Proceedings of ISP RAS
\yr 2017
\vol 29
\issue 4
\pages 107--122
\mathnet{http://mi.mathnet.ru/tisp238}
\crossref{https://doi.org/10.15514/ISPRAS-2017-29(4)-7}
\elib{https://elibrary.ru/item.asp?id=29968646}
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  • https://www.mathnet.ru/eng/tisp/v29/i4/p107
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Proceedings of the Institute for System Programming of the RAS
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