The Hierarchical Mixed Rural Postman Problem

The Hierarchical Mixed Rural Postman Problem

0.00 Avg rating0 Votes
Article ID: iaor20171671
Volume: 51
Issue: 2
Start Page Number: 755
End Page Number: 770
Publication Date: May 2017
Journal: Transportation Science
Authors: , , , ,
Keywords: vehicle routing & scheduling, graphs, heuristics
Abstract:

In this paper, we study a generalization of the Hierarchical Chinese Postman Problem on a mixed graph where only a subset of arcs and edges require a service to be accomplished following a hierarchical order. The problem, called the Hierarchical Mixed Rural Postman Problem, also generalizes the Rural Postman Problem and thus is NP‐hard. We propose a new mathematical formulation, and introduce two effective solution algorithms. The first procedure is a matheuristic that is based on the exact solution of a variant of the Mixed Rural Postman Problem for each hierarchy. The second approach is a tabu search algorithm based on different improvement and diversification strategies. Computational results on an extended set of instances show how the proposed solution methods are quite effective and efficient when compared to the solutions of a branch‐and‐cut algorithm stopped after one hour of computation.

Reviews

Required fields are marked *. Your email address will not be published.