An extension of the arc orienteering problem and its application to cycle trip planning

作者:Verbeeck C*; Vansteenwegen P; Aghezzaf E H
来源:Transportation Research Part E: Logistics and Transportation Review , 2014, 68: 64-78.
DOI:10.1016/j.tre.2014.05.006

摘要

The cycle trip planning problem (CTPP) can be formulated as a variant of the arc orienteering problem (AOP), which is a well-known combinatorial optimisation problem. The CTPP aims at finding a route with the highest possible score, in a directed graph, among those having a total length that does not exceed some given upper bound. The contributions of this paper are a new mathematical programming model for the CTPP and two solution methods for its solution. The first is a branch-and-cut approach that is able to solve small problem instances to optimality and the second is a metaheuristic that solves CTPP and AOP instances of realistic size to near optimality in a few seconds.

  • 出版日期2014-8