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
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
  • [21] Cardinality constrained Path Covering Problems in grid graphs
    Apollonio, N
    Caccetta, L
    Simeone, B
    NETWORKS, 2004, 44 (02) : 120 - 131
  • [22] Evolutionary Algorithms for Cardinality-Constrained Ising Models
    Bhuva, Vijay Dhanjibhai
    Duc-Cuong Dang
    Huber, Liam
    Sudholt, Dirk
    PARALLEL PROBLEM SOLVING FROM NATURE - PPSN XVII, PPSN 2022, PT II, 2022, 13399 : 456 - 469
  • [23] A Relaxed Optimization Approach for Cardinality-Constrained Portfolios
    Zhang, Jize
    Leung, Tim
    Aravkin, Aleksandr
    2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 2885 - 2892
  • [24] Cardinality-constrained distributionally robust portfolio optimization
    Kobayashi, Ken
    Takano, Yuichi
    Nakata, Kazuhide
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2023, 309 (03) : 1173 - 1182
  • [25] On cutting planes for cardinality-constrained linear programs
    Jinhak Kim
    Mohit Tawarmalani
    Jean-Philippe P. Richard
    Mathematical Programming, 2019, 178 : 417 - 448
  • [26] The Cardinality-Constrained Paths Problem: Multicast Data Routing in Heterogeneous Communication Networks
    Velasquez, Alvaro
    Wojciechowski, Piotr
    Subramani, K.
    Drager, Steven L.
    Jha, Sumit Kumar
    15TH IEEE INTERNATIONAL SYMPOSIUM ON NETWORK COMPUTING AND APPLICATIONS (IEEE NCA 2016), 2016, : 126 - 130
  • [27] Swarm Intelligence for Cardinality-Constrained Portfolio Problems
    Deng, Guang-Feng
    Lin, Woo-Tsong
    COMPUTATIONAL COLLECTIVE INTELLIGENCE: TECHNOLOGIES AND APPLICATIONS, PT III, 2010, 6423 : 406 - 415
  • [28] 2-GRAPHS AND SKEW 2-GRAPHS IN FINITE GEOMETRIES
    MOORHOUSE, GE
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 226 : 529 - 551
  • [29] On cutting planes for cardinality-constrained linear programs
    Kim, Jinhak
    Tawarmalani, Mohit
    Richard, Jean-Philippe P.
    MATHEMATICAL PROGRAMMING, 2019, 178 (1-2) : 417 - 448
  • [30] A NOTE ON THE CONSTRAINED SHORTEST-PATH PROBLEM
    PUJARI, AK
    AGARWAL, S
    GULATI, VP
    NAVAL RESEARCH LOGISTICS, 1984, 31 (01) : 87 - 89