The Steiner Traveling Salesman Problem and its extensions

Jessica Rodríguez-Pereira, Elena Fernández, Gilbert Laporte, Enrique Benavent and Antonio Martínez-Sykora

European Journal of Operational Research, 2019, vol. 278, issue 2, 615-628

Abstract: This paper considers the Steiner Traveling Salesman Problem, an extension of the classical Traveling Salesman Problem on an incomplete graph where not all vertices have demand. Some extensions including several depots or location decisions are introduced, modeled and solved. A compact integer linear programming formulation is proposed for each problem, where the routes are represented with two-index decision variables, and parity conditions are modeled using cocircuit inequalities. Exact branch-and-cut algorithms are developed for all formulations. Computational results obtained confirm the good performance of the algorithms. Instances with up to 500 vertices are solved optimally.

Keywords: Steiner Traveling Salesman Problem; Integer linear programming; Branch-and-cut; Valid inequalities (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:278:y:2019:i:2:p:615-628

DOI: 10.1016/j.ejor.2019.04.047

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