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Improving a constructive heuristic for the general routing problem
Author(s) -
Boyacı Burak,
Dang Thu Huong,
Letchford Adam N.
Publication year - 2023
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.22119
Subject(s) - constructive , heuristic , routing (electronic design automation) , mathematical optimization , vehicle routing problem , computer science , travelling salesman problem , mathematics , process (computing) , computer network , operating system
The general routing problem (GRP) is a fundamental ‐hard vehicle routing problem, first defined by Orloff in 1974. It contains as special cases the Chinese postman problem, the rural postman problem, the graphical TSP, and the Steiner TSP. We examine in detail a known constructive heuristic for the GRP, due to Christofides and others. We show how to speed it up, in both theory and practice, while obtaining solutions that are at least as good. Computational results show that, for large instances, our implementation is faster than the original by several orders of magnitude.
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