Groupe d’études et de recherche en analyse des décisions


Solving the Hierarchical Chinese Postman Problem as a Rural Postman Problem

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In the undirected Hierarchical Chinese Postman Problem (HCPP), the edges of a graph are partitioned into clusters and must be serviced while respecting a hierarchy, or precedence relation, between clusters. Two objectives are considered: a hierarchical objective and a makespan objective. In this article, a transformation of the HCPP into an equivalent Rural Postman Problem (RPP) is presented. The HCPP is solved optimally, for both objectives, by applying an exact branch-and-cut RPP algorithm to the transformed problem. Two heuristics based on the RPP algorithm are also described and assessed computationally.

, 11 pages

Ce cahier a été révisé en août 2002