RUS  ENG
Full version
JOURNALS // Proceedings of the Institute for System Programming of the RAS // Archive

Proceedings of ISP RAS, 2017 Volume 29, Issue 4, Pages 107–122 (Mi tisp238)

This article is cited in 2 papers

The mixed chinese postman problem

M. K. Gordenko, S. M. Avdoshin

National Research University Higher School of Economics

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.

Language: English

DOI: 10.15514/ISPRAS-2017-29(4)-7



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024