Title
The Multiconstraint Team Orienteering Problem with Multiple Time Windows
Abstract
This paper introduces the multiconstraint team orienteering problem with multiple time windows MC-TOP-MTW. In the MC-TOP-MTW, a set of vertices is given, each with a service time, one or more time windows, and a score. The goal is to maximize the sum of the collected scores, by a fixed number of tours. The tours are limited in length and restricted by the time windows and additional constraints. Next to a mathematical formulation of the MC-TOP-MTW, the main contribution of this paper is a fast and effective algorithm for tackling this problem, by hybridizing iterated local search with a greedy randomized adaptive search procedure. On a large test set, an average run has a score gap of only 5.19% with known high quality solutions, using 1.5 seconds of computational time. For 32% of the test instances, the known high quality solution was found or improved. This solution method also performs well on test instances of the TOPTW, the selective vehicle routing problem with time windows, and the MC-TOP-TW. A sensitivity analysis shows that the performance of the algorithm is insensitive to small changes in the parameter settings.
Year
DOI
Venue
2013
10.1287/trsc.1110.0377
Transportation Science
Keywords
Field
DocType
test instance,large test set,iterated local search,computational time,multiple time windows,time windows,service time,multiconstraint team orienteering problem,high quality solution,greedy randomized adaptive search,effective algorithm,sensitivity analysis,algorithms,vehicle routing problem,routing,grasp,vehicle routing
Mathematical optimization,Vehicle routing problem,Orienteering,Heuristics,Travelling salesman problem,Greedy randomized adaptive search procedure,Mathematics,Iterated local search,Operations management,Metaheuristic,Test set
Journal
Volume
Issue
ISSN
47
1
0041-1655
Citations 
PageRank 
References 
33
1.07
16
Authors
4
Name
Order
Citations
PageRank
Wouter Souffriau175028.50
Pieter Vansteenwegen2102648.63
Greet Vanden Berghe3137177.56
Dirk Van Oudheusden491741.64