Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4959322 | European Journal of Operational Research | 2018 | 35 Pages |
Abstract
We introduce the time-dependent capacitated profitable tour problem with time windows and precedence constraints. This problem concerns determining a tour and its departure time at the depot that maximizes the collected profit minus the total travel cost (measured by total travel time). To deal with road congestion, travel times are considered to be time-dependent. We develop a tailored labeling algorithm to find the optimal tour. Furthermore, we introduce dominance criteria to discard unpromising labels. Our computational results demonstrate that the algorithm is capable of solving instances with up to 150 locations (75 pickup and delivery requests) to optimality. Additionally, we present a restricted dynamic programing heuristic to improve the computation time. This heuristic does not guarantee optimality, but is able to find the optimal solution for 32 instances out of the 34 instances.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Peng Sun, Lucas P. Veelenturf, Said Dabia, Tom Van Woensel,