A branch-and-cut algorithm for the Undirected Rural Postman Problem

被引:64
|
作者
Ghiani, G [1 ]
Laporte, G [1 ]
机构
[1] Ecole Hautes Etud Commerciales, Gerad, Montreal, PQ H3T 2A7, Canada
关键词
Arc Routing Problems; Undirected Rural Postman Problem; branch-and-cut; polyhedral analysis; facets;
D O I
10.1007/s101070050007
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The well-known Undirected Rural Postman Problem is considered and a binary linear problem using new dominance relations is presented. Polyhedral properties are investigated and a branch-and-cut algorithm is developed. Extensive computational results indicate that the algorithm is capable of solving much larger instances than previously reported.
引用
收藏
页码:467 / 481
页数:15
相关论文
共 50 条
  • [1] A branch-and-cut algorithm for the Undirected Rural Postman Problem
    Gianpaolo Ghiani
    Gilbert Laporte
    [J]. Mathematical Programming, 2000, 87 : 467 - 481
  • [2] A Branch-and-Cut Algorithm for the Multidepot Rural Postman Problem
    Fernandez, Elena
    Laporte, Gilbert
    Rodriguez-Pereira, Jessica
    [J]. TRANSPORTATION SCIENCE, 2018, 52 (02) : 353 - 369
  • [3] A branch-and-cut algorithm for the profitable windy rural postman problem
    Avila, Thais
    Corberan, Angel
    Plana, Isaac
    Sanchis, Jose M.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2016, 249 (03) : 1092 - 1101
  • [4] A New Branch-and-Cut Algorithm for the Generalized Directed Rural Postman Problem
    Avila, Thais
    Corberan, Angel
    Plana, Isaac
    Sanchis, Jose M.
    [J]. TRANSPORTATION SCIENCE, 2016, 50 (02) : 750 - 761
  • [5] A branch-and-cut algorithm for the windy profitable location rural postman problem
    Khorramizadeh, Mostafa
    Javvi, Roghayeh
    [J]. ANNALS OF OPERATIONS RESEARCH, 2024,
  • [6] The Hierarchical Mixed Rural Postman Problem: Polyhedral analysis and a branch-and-cut algorithm
    Colombi, Marco
    Corberan, Angel
    Mansini, Renata
    Plana, Isaac
    Sanchis, Jose M.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2017, 257 (01) : 1 - 12
  • [7] A branch-and-cut algorithm for the undirected traveling purchaser problem
    Laporte, G
    Riera-Ledesma, J
    Salazar-González, JJ
    [J]. OPERATIONS RESEARCH, 2003, 51 (06) : 940 - 951
  • [8] A branch-and-cut algorithm for the maximum benefit Chinese postman problem
    Ángel Corberán
    Isaac Plana
    Antonio M. Rodríguez-Chía
    José M. Sanchis
    [J]. Mathematical Programming, 2013, 141 : 21 - 48
  • [9] A branch-and-cut algorithm for the maximum benefit Chinese postman problem
    Corberan, Angel
    Plana, Isaac
    Rodriguez-Chia, Antonio M.
    Sanchis, Jose M.
    [J]. MATHEMATICAL PROGRAMMING, 2013, 141 (1-2) : 21 - 48
  • [10] A branch-and-cut algorithm for the undirected selective traveling salesman problem
    Gendreau, M
    Laporte, G
    Semet, F
    [J]. NETWORKS, 1998, 32 (04) : 263 - 273