| Issue |
RAIRO-Oper. Res.
Volume 45, Number 4, October-December 2011
|
|
|---|---|---|
| Page(s) | 353 - 364 | |
| DOI | https://doi.org/10.1051/ro/2012004 | |
| Published online | 09 March 2012 | |
A branch-and-price algorithm for the windy rural postman problem
1
Universitéde Technologie de Troyes (UTT), Institut Charles
Delaunay, LOSI, 12 rue Marie
Curie, 10010
Troyes,
France
murat.afsar@utt.fr
2
CNRS, LAAS, 7
avenue du Colonel Roche, 31077
Toulouse Cedex 4,
France
3
Université de Toulouse, INSA, LAAS, 31400
Toulouse,
France
4
Université de Toulouse, LAAS, 31400
Toulouse,
France
Received: 6 December 2011
Accepted: 31 January 2012
In this paper, we propose an exact solution method for the windy rural postman problem (WRPP). The motivation to study this problem comes from some real-life applications, such as garbage collecting in a predefined sector with hills, where the traversing or the servicing speed can change following the direction. We present a Dantzig-Wolfe decomposition and a branch-and-price algorithm to solve the WRPP. To the best of our knowledge, Dantzig-Wolfe decomposition has never been used to solve that problem. The numerical results show that optimal solutions are found in a very reasonable amount of time on instances with up to 100 nodes and 180 edges.
Mathematics Subject Classification: 90B06 / 90C10
Key words: Branch-and-price / windy rural postman problem
© EDP Sciences, ROADEF, SMAI, 2012
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