Proceedings of the Institute for System Programming of the RAS
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Proceedings of ISP RAS:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • https://www.mathnet.ru/eng/tisp238
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Proceedings of the Institute for System Programming of the RAS
    Statistics & downloads:
    Abstract page:316
    Full-text PDF :210
    References:31
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024