In this article the Min‐Max version of the windy rural postman problem with several vehicles is introduced. For this problem, in which the objective is to minimize the length of the longest tour in order to find a set of balanced tours for the vehicles, we present here an ILP formulation and study its associated polyhedron. Based on its partial description, a branch‐and‐cut algorithm has been implemented and computational results on a large set of instances are finally presented.
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Benavent et al. (2009) studied this question.
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