The cardinality-constrained shortest path problem in 2-graphs

被引：0
|
作者：
Dahl, G
Realfsen, B
机构：
[1] Univ Oslo, Dept Math, N-0316 Oslo, Norway
[2] Univ Oslo, Dept Informat, N-0316 Oslo, Norway
来源：
NETWORKS | 2000年 / 36卷 / 01期
关键词：
constrained shortest path; linear programming; curve approximation;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the cardinality-constrained shortest path problem in acyclic graphs and, in particular, in the class of 2-graphs where we show that the problem may be solved by linear programming. A combinatorial algorithm is introduced based on some adjacency results for associated polytopes. An application in curve approximation is discussed and computational results are given where the mentioned algorithms are compared to Lagrangian relaxation and dynamic programming algorithms. (C) 2000 John Wiley & Sons, Inc.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [41] Component-cardinality-constrained critical node problem in graphs
    Lalou, M.
    Tahraoui, M. A.
    Kheddouci, H.
    DISCRETE APPLIED MATHEMATICS, 2016, 210 : 150 - 163
  • [42] Identifying the cardinality-constrained critical nodes with a hybrid evolutionary algorithm
    Liu, Chanjuan
    Ge, Shike
    Zhang, Yuanke
    INFORMATION SCIENCES, 2023, 642
  • [43] Sequential optimality conditions for cardinality-constrained optimization problems with applications
    Kanzow, Christian
    Raharja, Andreas B.
    Schwartz, Alexandra
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 80 (01) : 185 - 211
  • [44] On Accuracy of Approximation for the Resource Constrained Shortest Path Problem
    Soldatenko, Aleksandr A.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2019, 12 (05): : 621 - 627
  • [45] THE VARIANCE-CONSTRAINED SHORTEST-PATH PROBLEM
    SIVAKUMAR, RA
    BATTA, R
    TRANSPORTATION SCIENCE, 1994, 28 (04) : 309 - 316
  • [46] Shortest Path Problem With Ordinary Differential Equations Constrained
    Azar, Ali Babapour
    Nodeh, Zohreh Hosseini
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (04): : 661 - 672
  • [47] A DUAL ALGORITHM FOR THE CONSTRAINED SHORTEST-PATH PROBLEM
    HANDLER, GY
    ZANG, I
    NETWORKS, 1980, 10 (04) : 293 - 310
  • [48] AN ALGORITHM FOR THE RESOURCE CONSTRAINED SHORTEST-PATH PROBLEM
    BEASLEY, JE
    CHRISTOFIDES, N
    NETWORKS, 1989, 19 (04) : 379 - 394
  • [49] An Exact CP Approach for the Cardinality-Constrained Euclidean Minimum Sum-of-Squares Clustering Problem
    Haouas, Mohammed Najib
    Aloise, Daniel
    Pesant, Gilles
    INTEGRATION OF CONSTRAINT PROGRAMMING, ARTIFICIAL INTELLIGENCE, AND OPERATIONS RESEARCH, CPAIOR 2020, 2020, 12296 : 256 - 272
  • [50] Enhanced methods for the weight constrained shortest path problem
    Ahmadi, Saman
    Tack, Guido
    Harabor, Daniel
    Kilby, Philip
    Jalili, Mahdi
    NETWORKS, 2024, 84 (01) : 3 - 30
12345