메뉴 건너뛰기




Volumn 26, Issue 4, 2014, Pages 645-657

Benders decomposition, branch-and-cut, and hybrid algorithms for the minimum connected dominating set problem

Author keywords

Benders decomposition; Branch and cut; Connected dominating sets; Valid inequalities

Indexed keywords

AD HOC NETWORKS; GRAPH ALGORITHMS; INTEGER PROGRAMMING; MOBILE TELECOMMUNICATION SYSTEMS; STOCHASTIC PROGRAMMING;

EID: 84907684277     PISSN: 10919856     EISSN: 15265528     Source Type: Journal    
DOI: 10.1287/ijoc.2013.0589     Document Type: Article
Times cited : (51)

References (31)
  • 5
    • 77951210452 scopus 로고    scopus 로고
    • The regenerator location problem
    • Chen S, Ljubić I, Raghavan S (2010) The regenerator location problem. Networks 55(3):205-220.
    • (2010) Networks , vol.55 , Issue.3 , pp. 205-220
    • Chen, S.1    Ljubić, I.2    Raghavan, S.3
  • 6
    • 34249770791 scopus 로고
    • The Steiner tree problem I: Formulations, compositions and extensions of facets
    • Chopra S, Rao MR (1994a) The Steiner tree problem I: Formulations, compositions and extensions of facets. Math. Programming 64(1- 3):209-229.
    • (1994) Math. Programming , vol.64 , Issue.1-3 , pp. 209-229
    • Chopra, S.1    Rao, M.R.2
  • 7
    • 34249764441 scopus 로고
    • The Steiner tree problem II: Properties and classes of facets
    • Chopra S, Rao MR (1994b) The Steiner tree problem II: Properties and classes of facets. Math. Programming 64(1-3):231-246.
    • (1994) Math. Programming , vol.64 , Issue.1-3 , pp. 231-246
    • Chopra, S.1    Rao, M.R.2
  • 8
    • 33749477567 scopus 로고    scopus 로고
    • Combinatorial Benders' cuts for mixedinteger linear programming
    • Codato G, Fischetti M (2006) Combinatorial Benders' cuts for mixedinteger linear programming. Oper. Res. 54(4):756-766.
    • (2006) Oper. Res. , vol.54 , Issue.4 , pp. 756-766
    • Codato, G.1    Fischetti, M.2
  • 9
    • 38549083508 scopus 로고    scopus 로고
    • Lower bounds and algorithms for dominating sets in Web graphs
    • Cooper C, Klasing R, Zito M (2005) Lower bounds and algorithms for dominating sets in Web graphs. Internet Math. 2(3):275-300.
    • (2005) Internet Math. , vol.2 , Issue.3 , pp. 275-300
    • Cooper, C.1    Klasing, R.2    Zito, M.3
  • 12
    • 84865036095 scopus 로고    scopus 로고
    • Solving the connected dominating set problem and power dominating set problem by integer programming
    • Springer, Berlin
    • Fan N, Watson JP (2012) Solving the connected dominating set problem and power dominating set problem by integer programming. Combinatorial Optimization and Applications, Lecture Notes in Computer Science, Vol. 7402 (Springer, Berlin), 371-383.
    • (2012) Combinatorial Optimization and Applications Lecture Notes in Computer Science , vol.7402 , pp. 371-383
    • Fan, N.1    Watson, J.P.2
  • 14
    • 0042812479 scopus 로고    scopus 로고
    • An exact algorithm for the maximum leaf spanning tree problem
    • Fujie T (2003) An exact algorithm for the maximum leaf spanning tree problem. Comput. Oper. Res. 30(13):1931-1944.
    • (2003) Comput. Oper. Res. , vol.30 , Issue.13 , pp. 1931-1944
    • Fujie, T.1
  • 15
    • 3042615178 scopus 로고    scopus 로고
    • The maximum-leaf spanning tree problem: Formulations and facets
    • Fujie T (2004) The maximum-leaf spanning tree problem: Formulations and facets. Networks 43(4):212-223.
    • (2004) Networks , vol.43 , Issue.4 , pp. 212-223
    • Fujie, T.1
  • 16
    • 26444591202 scopus 로고    scopus 로고
    • Using complex systems analysis to advance marketing theory development
    • Goldenberg J, Libai B, Muller E (2001) Using complex systems analysis to advance marketing theory development. Acad. Marketing Sci. Rev. 9:1-19.
    • (2001) Acad. Marketing Sci. Rev. , vol.9 , pp. 1-19
    • Goldenberg, J.1    Libai, B.2    Muller, E.3
  • 17
    • 19644369843 scopus 로고    scopus 로고
    • Approximation algorithms for connected dominating sets
    • Guha S, Khuller S (1998) Approximation algorithms for connected dominating sets. Algorithmica 20(4):374-387.
    • (1998) Algorithmica , vol.20 , Issue.4 , pp. 374-387
    • Guha, S.1    Khuller, S.2
  • 18
    • 24944568036 scopus 로고    scopus 로고
    • Logic-based Benders decomposition
    • Hooker JN, Ottosson G (2003) Logic-based Benders decomposition. Math. Programming 96(1):33-60.
    • (2003) Math. Programming , vol.96 , Issue.1 , pp. 33-60
    • Hooker, J.N.1    Ottosson, G.2
  • 19
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the traveling salesman problem
    • Kruskal JB (1956) On the shortest spanning subtree of a graph and the traveling salesman problem. P. Amer. Math. Soc. 7: 48-50.
    • (1956) P. Amer. Math. Soc. , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 21
    • 77954087471 scopus 로고    scopus 로고
    • Reformulation and solution algorithms for the maximum leaf spanning tree problem
    • Lucena A, Maculan N, Simonetti L (2010) Reformulation and solution algorithms for the maximum leaf spanning tree problem. Comput. Management Sci. 7(3):289-311.
    • (2010) Comput. Management Sci. , vol.7 , Issue.3 , pp. 289-311
    • Lucena, A.1    Maculan, N.2    Simonetti, L.3
  • 23
    • 0009394731 scopus 로고
    • Using separation algorithms to generate mixed integer model reformulations
    • Martin RK (1991) Using separation algorithms to generate mixed integer model reformulations. Oper. Res. Lett. 10:119-128.
    • (1991) Oper. Res. Lett. , vol.10 , pp. 119-128
    • Martin, R.K.1
  • 28
    • 84890362733 scopus 로고    scopus 로고
    • Social networks and mathematical modelling
    • Stanley EA (2006) Social networks and mathematical modelling. Connections 27(1):43-49.
    • (2006) Connections , vol.27 , Issue.1 , pp. 43-49
    • Stanley, E.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.