Article ID: | iaor20123256 |
Volume: | 37 |
Issue: | 11 |
Start Page Number: | 1870 |
End Page Number: | 1876 |
Publication Date: | Nov 2010 |
Journal: | Computers and Operations Research |
Authors: | Srensen Kenneth, Vansteenwegen Pieter, Souffriau Wouter |
Keywords: | combinatorial optimization, heuristics: local search |
Creating digital maps often requires driving around the streets in a so‐called ‘mapping van’. Tele Atlas, the world leading supplier of maps and map data, uses a fleet of such vehicles to take pictures of streets and road signs. Minimising the number of days that a vehicle needs to traverse all streets in a given region gives rise to a capacitated arc routing problem. A specific characteristic of this problem, however, is the fact that taking pictures in the direction of the sun should be avoided as much as possible. This requirement adds soft time windows to the problem. In this paper we solve the mobile mapping van problem by transforming it into a vehicle routing problem with soft time windows. We then apply a hybrid metaheuristic, consisting of a local search phase to decrease the number of days and an iterated local search phase to minimise the time window violations. An exact linear programming solver is embedded to calculate the ideal starting time of the vehicle in each street. Our method is tested on academic and real‐life problem instances and shown to be effective.