Article
Arrival and service time dependencies in the single- and multi-visit selective traveling salesman problem
Author/s | Canca Ortiz, José David
Barrena, Eva Laporte, Gilbert |
Department | Universidad de Sevilla. Departamento de Organización Industrial y Gestión de Empresas II |
Publication Date | 2024-06 |
Deposit Date | 2024-05-20 |
Published in |
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Abstract | We analyze several time dependency issues for the selective traveling salesman problem with time-dependent profits. Specifically, we consider the case in which the profit collected at a vertex depends on the service time, ... We analyze several time dependency issues for the selective traveling salesman problem with time-dependent profits. Specifically, we consider the case in which the profit collected at a vertex depends on the service time, understood as the time spent at this vertex, and when the service time at each vertex depends on the arrival time at the vertex. For each of these two cases, we formulate two continuous-time problems: (i) a vertex can be visited at most once, and (ii) vertices may be visited more than once. In each case, we consider general profit functions at the vertices, i.e., the profit functions are not limited to monotonic functions of time. We also formulate the problems as discrete-time problems using appropriate variants of an auxiliary time-extended graph, and we solve them with Gurobi. We apply our methodology to two sets of instances. First, we use a set of artificial instances to illustrate the main differences amongst the different versions of the problem. We then solve several instances adapted from TSPLIB to evaluate the computational capabilities of the methodology. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Andalucía Universidad Pablo de Olavide |
Project ID. | PDC2021-121021-C21
RED2022-134703-T PID2019- 104263RB-C41 PID2022-139543OB-C41 US-1381656 |
Citation | Canca, D., Barrena, E. y Laporte, G. (2024). Arrival and service time dependencies in the single- and multi-visit selective traveling salesman problem. Computers & Operations Research, 166, 106632. https://doi.org/10.1016/j.cor.2024.106632. |
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