Abstract
The Maximum Benefit Chinese Postman Problem (MBCPP) is an NP-hard problem that considers several benefits associated with each edge, one for each time the edge is traversed with a service. The objective is to find a closed walk with maximum benefit. We propose an IP formulation for the undirected MBCPP and, based on the description of its associated polyhedron, we propose a branch-and-cut algorithm and present computational results on instances with up to 1,000 vertices and 3,000 edges.
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Corberán, Á., Plana, I., Rodríguez-Chía, A.M. et al. A branch-and-cut algorithm for the maximum benefit Chinese postman problem. Math. Program. 141, 21–48 (2013). https://doi.org/10.1007/s10107-011-0507-6
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DOI: https://doi.org/10.1007/s10107-011-0507-6
Keywords
- Chinese postman problem
- Maximum benefit Chinese postman problem
- Rural postman problem
- Facets
- Branch-and-cut