Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S719 - S726|
|Published online||02 March 2021|
A Branch-and-Cut and MIP-based heuristics for the Prize-Collecting Travelling Salesman Problem
Universidade Federal do Rio de Janeiro, PESC-COPPE, Cidade Universitária, Centro de Tecnologia, Bloco H, 21941-972 Rio de Janeiro, Brazil
2 Universidade Federal Fluminense, Instituto de Computação, Rua Passo da Pátria 156 São Domingos, 24210-240 Niterói, RJ, Brazil
* Corresponding author: firstname.lastname@example.org
Accepted: 23 December 2019
The Prize Collecting Traveling Salesman Problem (PCTSP) represents a generalization of the well-known Traveling Salesman Problem. The PCTSP can be associated with a salesman that collects a prize in each visited city and pays a penalty for each unvisited city, with travel costs among the cities. The objective is to minimize the sum of the costs of the tour and penalties, while collecting a minimum amount of prize. This paper suggests MIP-based heuristics and a branch-and-cut algorithm to solve the PCTSP. Experiments were conducted with instances of the literature, and the results of our methods turned out to be quite satisfactory.
Mathematics Subject Classification: 90C10 / 90C11 / 90C08 / 90C05
Key words: prize-collecting traveling salesman problem / MIP heuristics / Branch-and-cut
© EDP Sciences, ROADEF, SMAI 2021
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