RT Journal Article
T1 Arrival and service time dependencies in the single- and multi-visit selective traveling salesman problem
A1 Canca, David
A1 Barrena, Eva
A1 Laporte, Gilbert
K1 Selective traveling salesman problem
K1 Time-dependent service time
K1 Service time-dependent profit
K1 Single- and multi-visit
AB 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.
PB Elsevier
YR 2024
FD 2024-04-22
LK https://hdl.handle.net/10433/20564
UL https://hdl.handle.net/10433/20564
LA en
NO Computers & Operations Research, Vol  166, 2024, 106632,
NO Proyectos de investigaciónPID2022-139543OB-C41RED2022-134703-T
NO Departamento de Economía, Métodos Cuantitativos e Historia Económica
DS RIO
RD May 8, 2026