Models and algorithms for shortest paths in a time dependent network

被引:0
|
作者
Li, Yinzhen [1 ]
He, Ruichun [1 ]
Zhang, Zhongfu [1 ]
Gu, Yaohuang [1 ]
机构
[1] Lanzhou Jiaotong Univ, Lanzhou 730070, Peoples R China
关键词
time dependent networks; shortest path; model; genetic algorithm; traffic and transportation;
D O I
暂无
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The shortest path problem in the time dependent network is an important extension of the classical shortest path problem and has been widely applied in real life. It is known as nonlinear and NP-hard. Therefore, the algorithms of the classical shortest path are incapable to solve this problem. In this paper, the models of the shortest path problem in the time dependent network are formulated and algorithms are designed for solving the proposed models. Finally, a numerical example is given.
引用
收藏
页码:319 / 328
页数:10
相关论文
共 50 条
  • [31] Shortest paths algorithms: Theory and experimental evaluation
    Cherkassky, BV
    Goldberg, AV
    Radzik, T
    MATHEMATICAL PROGRAMMING, 1996, 73 (02) : 129 - 174
  • [32] Shortest paths algorithms: Theory and experimental evaluation
    Central Institute for Economics and Mathematics, Krasikova St. 32, Moscow, 117418, Russia
    不详
    不详
    Mathematical Programming, Series B, 1996, 73 (02): : 129 - 174
  • [34] Improved Distributed Algorithms for Exact Shortest Paths
    Ghaffari, Mohsen
    Li, Jason
    STOC'18: PROCEEDINGS OF THE 50TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING, 2018, : 431 - 444
  • [35] EFFICIENT ALGORITHMS FOR SHORTEST PATHS IN SPARSE NETWORKS
    JOHNSON, DB
    JOURNAL OF THE ACM, 1977, 24 (01) : 1 - 13
  • [36] Algorithms for time-dependent bicriteria shortest path problems
    Hamacher, Horst W.
    Ruzika, Stefan
    Tjandra, Stevanus A.
    DISCRETE OPTIMIZATION, 2006, 3 (03) : 238 - 254
  • [37] Finding the first K shortest paths in a time-window network
    Chen, YL
    Yang, HH
    COMPUTERS & OPERATIONS RESEARCH, 2004, 31 (04) : 499 - 513
  • [38] Shortest Paths in Stochastic Time-Dependent Networks with Link Travel Time Correlation
    Dong, Wei
    Vu, Hai L.
    Nazarathy, Yoni
    Bao Quoc Vo
    Li, Minyi
    Hoogendoorn, Serge Paul
    TRANSPORTATION RESEARCH RECORD, 2013, (2338) : 58 - 66
  • [39] Incremental network design with shortest paths
    Baxter, Matthew
    Elgindy, Tarek
    Ernst, Andreas T.
    Kalinowski, Thomas
    Savelsbergh, Martin W. P.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 238 (03) : 675 - 684
  • [40] Shortest Paths in a Hybrid Network Model
    Augustine, John
    Hinnenthal, Kristian
    Kuhn, Fabian
    Scheideler, Christian
    Schneider, Philipp
    PROCEEDINGS OF THE THIRTY-FIRST ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS (SODA'20), 2020, : 1280 - 1299