The undirected m-Capacitated Peripatetic Salesman Problem
In the m-Capacitated Peripatetic Salesman Problem (m-CPSP) the aim is to determine m Hamiltonian cycles of minimal total cost on a graph, such that all the edges are traversed less than the value of their capacity. This article introduces three formulations for the m-CPSP. Two branch-and-cut algorithms and one branch-and-price algorithm are developed. Tests performed on randomly generated and on TSPLIB Euclidean instances indicate that the branch-and-price algorithm can solve instances with more than twice the size of what is achievable with the branch-and-cut algorithms.
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Volume (Year): 223 (2012)
Issue (Month): 3 ()
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- Plastria, Frank, 2002. "Formulating logical implications in combinatorial optimisation," European Journal of Operational Research, Elsevier, vol. 140(2), pages 338-353, July.
- Asef-Vaziri, Ardavan & Laporte, Gilbert, 2005. "Loop based facility planning and material handling," European Journal of Operational Research, Elsevier, vol. 164(1), pages 1-11, July.
- Duchenne, Eric & Laporte, Gilbert & Semet, Frederic, 2005. "Branch-and-cut algorithms for the undirected m-Peripatetic Salesman Problem," European Journal of Operational Research, Elsevier, vol. 162(3), pages 700-712, May.
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