Author, as appears in the article.: Estrada-Moreno A; Ferrer A; Juan AA; Panadero J; Bagirov A

Department: Enginyeria Informàtica i Matemàtiques

URV's Author/s: Estrada Moreno, Alejandro

Keywords: Team orienteering problem Soft constraints Routing problem Particle swarm optimization Non-smooth optimization Multi-objective optimization Depot Biased-randomized algorithms Algorithm

Abstract: © 2020 by the authors. In the classical team orienteering problem (TOP), a fixed fleet of vehicles is employed, each of them with a limited driving range. The manager has to decide about the subset of customers to visit, as well as the visiting order (routes). Each customer offers a different reward, which is gathered the first time that it is visited. The goal is then to maximize the total reward collected without exceeding the driving range constraint. This paper analyzes a more realistic version of the TOP in which the driving range limitation is considered as a soft constraint: every time that this range is exceeded, a penalty cost is triggered. This cost is modeled as a piece-wise function, which depends on factors such as the distance of the vehicle to the destination depot. As a result, the traditional reward-maximization objective becomes a non-smooth function. In addition, a second objective, regarding the design of balanced routing plans, is considered as well. A mathematical model for this non-smooth and bi-objective TOP is provided, and a biased-randomized algorithm is proposed as a solving approach.

Thematic Areas: Química Mathematics (miscellaneous) Mathematics (all) Mathematics General mathematics Engineering (miscellaneous) Computer science (miscellaneous) Astronomia / física

licence for use: https://creativecommons.org/licenses/by/3.0/es/

Author's mail: alejandro.estrada@urv.cat

Author identifier: 0000-0001-9767-2177

Record's date: 2023-04-30

Papper version: info:eu-repo/semantics/publishedVersion

Link to the original source: https://www.mdpi.com/2227-7390/8/9/1461

Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/

Papper original source: Mathematics. 8 (9):

APA: Estrada-Moreno A; Ferrer A; Juan AA; Panadero J; Bagirov A (2020). The non-smooth and bi-objective team orienteering problem with soft constraints. Mathematics, 8(9), -. DOI: 10.3390/math8091461

Article's DOI: 10.3390/math8091461

Entity: Universitat Rovira i Virgili

Journal publication year: 2020

Publication Type: Journal Publications