A branch-and-price algorithm for the windy rural postman problem.

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Title: A branch-and-price algorithm for the windy rural postman problem.
Authors: Afsar, Hasan Murat1 murat.afsar@utt.fr, Jozefowiez, Nicolas2,3, Lopez, Pierre2,4
Source: RAIRO -- Operations Research. Oct2011, Vol. 45 Issue 4, p353-364. 12p.
Subjects: Problem solving, Garbage collection (Computer science), Decomposition method, Mathematical programming, Numerical analysis
Abstract: 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract: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. [ABSTRACT FROM AUTHOR]
ISSN:03990559
DOI:10.1051/ro/2012004