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

Hasan Murat Afsar; Nicolas Jozefowiez; Pierre Lopez

RAIRO - Operations Research (2012)

  • Volume: 45, Issue: 4, page 353-364
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Afsar, Hasan Murat, Jozefowiez, Nicolas, and Lopez, Pierre. "A branch-and-price algorithm for the windy rural postman problem." RAIRO - Operations Research 45.4 (2012): 353-364. <http://eudml.org/doc/222504>.

@article{Afsar2012,
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.},
author = {Afsar, Hasan Murat, Jozefowiez, Nicolas, Lopez, Pierre},
journal = {RAIRO - Operations Research},
keywords = {Branch-and-price; windy rural postman problem; branch-and-price},
language = {eng},
month = {3},
number = {4},
pages = {353-364},
publisher = {EDP Sciences},
title = {A branch-and-price algorithm for the windy rural postman problem},
url = {http://eudml.org/doc/222504},
volume = {45},
year = {2012},
}

TY - JOUR
AU - Afsar, Hasan Murat
AU - Jozefowiez, Nicolas
AU - Lopez, Pierre
TI - A branch-and-price algorithm for the windy rural postman problem
JO - RAIRO - Operations Research
DA - 2012/3//
PB - EDP Sciences
VL - 45
IS - 4
SP - 353
EP - 364
AB - 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.
LA - eng
KW - Branch-and-price; windy rural postman problem; branch-and-price
UR - http://eudml.org/doc/222504
ER -

References

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