A branch-and-cut algorithm for the windy profitable location rural postman problem

Mostafa Khorramizadeh () and Roghayeh Javvi ()
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Mostafa Khorramizadeh: Shiraz University of Technology
Roghayeh Javvi: Shiraz University of Technology

Annals of Operations Research, 2024, vol. 341, issue 2, No 9, 993-1022

Abstract: Abstract In this paper, we present an integer programming formulation for the windy profitable location rural postman problem (WPLRPP). We state and prove a theorem concerning the dimension of the associated polyhedron. Then, we use this theorem to study some trivial facets of the presented polyhedron. Furthermore, we adapt and validate several large families of valid inequalities for the WPLRPP. We also develop an efficient branch-and-cut algorithm for solving large WPLRPP instances, which leverages those inequalities. We compare our presented branch-and-cut algorithm with other efficient algorithms in the literature. The numerical results show that our algorithm solves larger problem instances and requires considerably less computing time than other algorithms in the literature.

Keywords: Arc routing; Facility location; Branch and cut; Windy graph (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-024-06161-8

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