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Title: The non-smooth and bi-objective team orienteering problem with soft constraints
Author: Estrada Moreno, Alejandro
Ferrer Biosca, Albert
Juan Pérez, Ángel Alejandro
Panadero Martínez, Javier
Bagirov, Adil
Others: Universitat Oberta de Catalunya (UOC)
Universitat Oberta de Catalunya. Internet Interdisciplinary Institute (IN3)
Universitat Rovira i Virgili
Universitat Politècnica de Catalunya
Euncet Business School
Federation University
Keywords: team orienteering problem
soft constraints
non-smooth optimization
multi-objective optimization
biased-randomized algorithms
Issue Date: 1-Sep-2020
Publisher: Mathematics
Citation: Estrada-Moreno, A., Ferrer, A., Juan, A. A., Panadero, J., Bagirov, A. (2020). The non-smooth and bi-objective team orienteering problem with soft constraints. Mathematics, 9(8). ISSN: 2227-7390. pg. 1-16. doi: 10.3390/math8091461
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Abstract: 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.
Language: English
ISSN: 2227-7390MIAR
Appears in Collections:Articles cientÍfics

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