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windy rural postman problem

RAIRO - Operations Research (1)

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A branch-and-price algorithm for the windy rural postman problem
Hasan Murat Afsar, Nicolas Jozefowiez, Pierre Lopez
Journal:

RAIRO - Operations Research / Volume 45 / Issue 4 / October 2011

Published online by Cambridge University Press:

09 March 2012, pp. 353-364

Print publication:

October 2011
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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.