Solving the clustered traveling salesman problem via traveling salesman problem methods

被引:2
|
作者
Lu, Yongliang [1 ]
Hao, Jin-Kao [2 ]
Wu, Qinghua [3 ]
机构
[1] Fuzhou Univ, Sch Econ & Management, Fuzhou, Peoples R China
[2] Univ Angers, LERIA, Angers, France
[3] Huazhong Univ Sci & Technol, Sch Management, Wuhan, Peoples R China
基金
中国国家自然科学基金;
关键词
Traveling salesman; Heuristics; Clustered traveling salesman; Problem transformation; APPROXIMATION ALGORITHM; LIN-KERNIGHAN; FORMULATION;
D O I
10.7717/peerj-cs.972
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The Clustered Traveling Salesman Problem (CTSP) is a variant of the popular Traveling Salesman Problem (TSP) arising from a number of real-life applications. In this work, we explore a transformation approach that solves the CTSP by converting it to the well-studied TSP. For this purpose, we first investigate a technique to convert a CTSP instance to a TSP and then apply powerful TSP solvers (including exact and heuristic solvers) to solve the resulting TSP instance. We want to answer the following questions: How do state-of-the-art TSP solvers perform on clustered instances converted from the CTSP? Do state-of-the-art TSP solvers compete well with the best performing methods specifically designed for the CTSP? For this purpose, we present intensive computational experiments on various benchmark instances to draw conclusions.
引用
收藏
页数:24
相关论文
共 50 条
  • [41] Animation of the Traveling Salesman Problem
    ElAarag, Hala
    Romano, Sam
    2012 PROCEEDINGS OF IEEE SOUTHEASTCON, 2012,
  • [42] The traveling salesman problem with backhauls
    Gendreau, M
    Hertz, A
    Laporte, G
    COMPUTERS & OPERATIONS RESEARCH, 1996, 23 (05) : 501 - 508
  • [43] A STOCHASTIC TRAVELING SALESMAN PROBLEM
    BELLMAN, R
    ROOSTA, M
    STOCHASTIC ANALYSIS AND APPLICATIONS, 1983, 1 (02) : 159 - 161
  • [44] On a Dynamic Traveling Salesman Problem
    Tarashnina, Svetlana
    Pankratova, Yaroslavna
    Purtyan, Aleksandra
    CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL X, 2017, 10 : 326 - 338
  • [45] On the Dubins Traveling Salesman Problem
    Jerome Le Ny
    Feron, Eric
    Frazzoli, Emilio
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) : 265 - 270
  • [46] The railway traveling salesman problem
    Hadjicharalambous, Georgia
    Pop, Petrica
    Pyrga, Evangelia
    Tsaggouris, George
    Zaroliagis, Christos
    ALGORITHMIC METHODS FOR RAILWAY OPTIMIZATION, 2007, 4359 : 264 - 275
  • [47] A NOTE ON THE TRAVELING SALESMAN PROBLEM
    CHVATAL, V
    OPERATIONS RESEARCH LETTERS, 1989, 8 (02) : 77 - 78
  • [48] AN ALGORITHM FOR THE TRAVELING SALESMAN PROBLEM
    LITTLE, JDC
    MURTY, KG
    SWEENEY, DW
    KAREL, C
    OPERATIONS RESEARCH, 1963, 11 (06) : 972 - 989
  • [49] NOTE ON TRAVELING SALESMAN PROBLEM
    JONES, L
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) : 220 - 222
  • [50] Linearity in the traveling salesman problem
    Colletti, BW
    Barnes, JW
    APPLIED MATHEMATICS LETTERS, 2000, 13 (03) : 27 - 32