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

被引:0
|
作者
Gianpaolo Ghiani
Gilbert Laporte
机构
[1] GERAD,
[2] École des Hautes Études Commerciales,undefined
[3] 3000 chemin de la Côte-Sainte-Catherine,undefined
[4] Montréal,undefined
[5] Canada H3T 2A7,undefined
[6] e-mail: {ghiani,undefined
[7] gilbert}@crt.umontreal.ca,undefined
来源
Mathematical Programming | 2000年 / 87卷
关键词
Key words: Arc Routing Problems – Undirected Rural Postman Problem – branch-and-cut – polyhedral analysis – facets; Mathematics Subject Classification (1991): 05c45;
D O I
暂无
中图分类号
学科分类号
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:14
相关论文
共 50 条
  • [41] A Branch-and-Cut algorithm for factory crane scheduling problem
    Xu Cheng
    Lixin Tang
    Panos M. Pardalos
    [J]. Journal of Global Optimization, 2015, 63 : 729 - 755
  • [42] A branch-and-cut algorithm for the Steiner tree problem with delays
    V. Leggieri
    M. Haouari
    C. Triki
    [J]. Optimization Letters, 2012, 6 : 1753 - 1771
  • [43] A branch-and-cut algorithm for the balanced traveling salesman problem
    Thi Quynh Trang Vo
    Mourad Baiou
    Viet Hung Nguyen
    [J]. Journal of Combinatorial Optimization, 2024, 47
  • [44] New Facets and an Enhanced Branch-and-Cut for the Min-Max K-Vehicles Windy Rural Postman Problem
    Benavent, Enrique
    Corberan, Angel
    Plana, Isaac
    Sanchis, Jose M.
    [J]. NETWORKS, 2011, 58 (04) : 255 - 272
  • [45] A note on the undirected rural postman problem polytope
    Reinelt, G
    Theis, DO
    [J]. MATHEMATICAL PROGRAMMING, 2006, 106 (03) : 447 - 452
  • [46] A branch-and-cut algorithm for the minimum branch vertices spanning tree problem
    Silvestri, Selene
    Laporte, Gilbert
    Cerulli, Raffaele
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2017, 81 : 322 - 332
  • [47] Improvement procedures for the undirected rural postman problem
    Hertz, A
    Laporte, G
    Hugo, PN
    [J]. INFORMS JOURNAL ON COMPUTING, 1999, 11 (01) : 53 - 62
  • [48] A note on the Undirected Rural Postman Problem polytope
    Gerhard Reinelt
    Dirk Oliver Theis
    [J]. Mathematical Programming, 2006, 106 : 447 - 452
  • [49] A constructive heuristic for the undirected rural postman problem
    Ghiani, G
    Laganà, D
    Musmanno, R
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2006, 33 (12) : 3450 - 3457
  • [50] A branch-and-cut algorithm for a realistic dial-a-ride problem
    Liu, Mengyang
    Luo, Zhixing
    Lim, Andrew
    [J]. TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2015, 81 : 267 - 288