Facets and valid inequalities for the time-dependent travelling salesman problem

Juan José Miranda-Bront, Isabel Méndez-Díaz and Paula Zabala
Authors registered in the RePEc Author Service: Juan José Miranda Bront ()

European Journal of Operational Research, 2014, vol. 236, issue 3, 891-902

Abstract: The Time-Dependent Travelling Salesman Problem (TDTSP) is a generalization of the traditional TSP where the travel cost between two cities depends on the moment of the day the arc is travelled. In this paper, we focus on the case where the travel time between two cities depends not only on the distance between them, but also on the position of the arc in the tour. We consider two formulations proposed in the literature, we analyze the relationship between them and derive several families of valid inequalities and facets. In addition to their theoretical properties, they prove to be very effective in the context of a Branch and Cut algorithm.

Keywords: Combinatorial optimization; Integer programming; Time-Dependent TSP; Branch and Cut (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:236:y:2014:i:3:p:891-902

DOI: 10.1016/j.ejor.2013.05.022

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