Skip to Main content Skip to Navigation
New interface
Book sections

On a Time-Dependent Formulation and an Updated Classification of ATSP Formulations

Maria Teresa Godinho 1 Luís Gouveia 2 Pierre Pesneau 3, 4 
4 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : In this chapter we contextualize, in terms of the ATSP, a recent compact formulation presented in Godinho et al [11] for the time-dependent traveling salesman problem (TDTSP). The previous paper provides one way of viewing the new model, the time-dependent TSP point of view where it is put in evidence how to obtain the new model by tightening the linear programming relaxation of a well known formulation for the TDTSP. In this chapter, we will present the ATSP point of view and will show how to obtain the model by i) enhancing the subproblem arising in the standard multicommodity ow (MCF) model for the ATSP and then ii) by using modelling enhancement techniques. We will compare the linear programming relaxation of the new formulation with the linear programming relaxation of the three compact and non-dominated formulations presented in Oncan et al. [19]. As a result of this comparison we present an updated classication of formulations for the asymmetric traveling salesman problem (ATSP).
Document type :
Book sections
Complete list of metadata

Cited literature [27 references]  Display  Hide  Download
Contributor : Pierre Pesneau Connect in order to contact the contributor
Submitted on : Tuesday, December 5, 2017 - 11:20:01 AM
Last modification on : Friday, August 5, 2022 - 12:39:49 PM


Files produced by the author(s)


  • HAL Id : hal-00648457, version 1



Maria Teresa Godinho, Luís Gouveia, Pierre Pesneau. On a Time-Dependent Formulation and an Updated Classification of ATSP Formulations. Ali Ridha Mahjoub. Progress in Combinatorial Optimization, Wiley, 2011, 9781848212060. ⟨hal-00648457⟩



Record views


Files downloads