메뉴 건너뛰기




Volumn 156, Issue 17, 2008, Pages 3238-3247

Approximation algorithms for group prize-collecting and location-routing problems

Author keywords

Algorithm; Approximation; Group; Location; Prize collecting; Travelling salesman

Indexed keywords

BOOLEAN FUNCTIONS; COMBINATORIAL MATHEMATICS; COMBINATORIAL OPTIMIZATION; COST ACCOUNTING; COSTS; POLYNOMIAL APPROXIMATION; PROBABILITY DENSITY FUNCTION; ROUTING ALGORITHMS; TREES (MATHEMATICS);

EID: 55049094522     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2008.05.013     Document Type: Article
Times cited : (13)

References (25)
  • 1
    • 84987028582 scopus 로고
    • The prize collecting travelling salesman problem
    • Balas E. The prize collecting travelling salesman problem. Networks 19 (1989) 621-636
    • (1989) Networks , vol.19 , pp. 621-636
    • Balas, E.1
  • 2
    • 0038825569 scopus 로고    scopus 로고
    • Transformations of generalized ATSP into ATSP: Experimental and theoretical study
    • Ben-Arieh D., Gutin G., Penn M., Yeo A., and Zverovitch A. Transformations of generalized ATSP into ATSP: Experimental and theoretical study. Operations Research Letters 31 (2003) 357-365
    • (2003) Operations Research Letters , vol.31 , pp. 357-365
    • Ben-Arieh, D.1    Gutin, G.2    Penn, M.3    Yeo, A.4    Zverovitch, A.5
  • 4
    • 26444605118 scopus 로고    scopus 로고
    • C. Chekury, G. Even, G. Kortsarz, An approximation algorithm for the group steiner problem, in: Proceedings of the Symposium on Discrete Algorithms SODA, San Francisco, California, 2002, pp. 49-58
    • C. Chekury, G. Even, G. Kortsarz, An approximation algorithm for the group steiner problem, in: Proceedings of the Symposium on Discrete Algorithms SODA, San Francisco, California, 2002, pp. 49-58
  • 6
    • 55049105525 scopus 로고    scopus 로고
    • P. Feofiloff, C.G. Fernandes, C.E. Ferreira, J. Pina, Approximation algorithm for the prize-collecting steiner tree problem, Manuscript, 2003
    • P. Feofiloff, C.G. Fernandes, C.E. Ferreira, J. Pina, Approximation algorithm for the prize-collecting steiner tree problem, Manuscript, 2003
  • 7
    • 0141651910 scopus 로고    scopus 로고
    • A comparative analysis of several formulations for the generalized minimum spanning tree problem
    • Feremans C., Labbe M., and Laporte G. A comparative analysis of several formulations for the generalized minimum spanning tree problem. Networks 39 1 (2002) 29-34
    • (2002) Networks , vol.39 , Issue.1 , pp. 29-34
    • Feremans, C.1    Labbe, M.2    Laporte, G.3
  • 9
    • 51249175909 scopus 로고
    • An application of simultaneous diophantine approximation in combinatorial approximation
    • Frank A., and Tardos E. An application of simultaneous diophantine approximation in combinatorial approximation. Combinatorica 7 (1987) 49-65
    • (1987) Combinatorica , vol.7 , pp. 49-65
    • Frank, A.1    Tardos, E.2
  • 12
    • 0033887939 scopus 로고    scopus 로고
    • An efficient transformation of the generalized vehicle routing problem
    • Ghiani G., and Improta G. An efficient transformation of the generalized vehicle routing problem. European Journal of Operational Research 122 (2000) 11-17
    • (2000) European Journal of Operational Research , vol.122 , pp. 11-17
    • Ghiani, G.1    Improta, G.2
  • 13
    • 0002902991 scopus 로고    scopus 로고
    • A polylogarithmic algorithm for the group steiner tree problem
    • Garg N., Konjevod G., and Ravi R. A polylogarithmic algorithm for the group steiner tree problem. Journal of Algorithms 37 1 (2000) 66-84
    • (2000) Journal of Algorithms , vol.37 , Issue.1 , pp. 66-84
    • Garg, N.1    Konjevod, G.2    Ravi, R.3
  • 15
    • 0029289832 scopus 로고
    • A general approximation technique for constrained forest problems
    • Goemans M.X., and Williamson D.P. A general approximation technique for constrained forest problems. SIAM Journal on Computing 24 (1995) 296-317
    • (1995) SIAM Journal on Computing , vol.24 , pp. 296-317
    • Goemans, M.X.1    Williamson, D.P.2
  • 16
    • 0012394011 scopus 로고
    • The record balancing problem: A dynamic programming solution of the generalized traveling salesman problem
    • Henry-Labordere A.I. The record balancing problem: A dynamic programming solution of the generalized traveling salesman problem. RIRO B-2 (1969) 43-49
    • (1969) RIRO , vol.B-2 , pp. 43-49
    • Henry-Labordere, A.I.1
  • 17
    • 0038784524 scopus 로고    scopus 로고
    • E. Halperin, R. Krauthgamer, Polylogarithmic inapproximability, in: Proceedings of the 35th Annual ACM Symposium on Theory of Computing STOC, 2003, pp. 585-594
    • E. Halperin, R. Krauthgamer, Polylogarithmic inapproximability, in: Proceedings of the 35th Annual ACM Symposium on Theory of Computing STOC, 2003, pp. 585-594
  • 18
    • 55049108704 scopus 로고    scopus 로고
    • I. Kara, T. Bektas, Integer linear programming formulation of the generalized vehicle routing problem, Manuscript, 2004
    • I. Kara, T. Bektas, Integer linear programming formulation of the generalized vehicle routing problem, Manuscript, 2004
  • 19
    • 0022153218 scopus 로고
    • Generalized travelling salesman problem through n sets of nodes: The asymmetrical cases
    • Laporte G., Mercure H., and Nobert Y. Generalized travelling salesman problem through n sets of nodes: The asymmetrical cases. Discrete Applied Mathematics 18 (1987) 185-197
    • (1987) Discrete Applied Mathematics , vol.18 , pp. 185-197
    • Laporte, G.1    Mercure, H.2    Nobert, Y.3
  • 21
    • 21844481977 scopus 로고
    • On the generalized minimum spanning tree problem
    • Myulg Y.-S., Lee C.-H., and Tcha D.-W. On the generalized minimum spanning tree problem. Networks 26 (1995) 231-241
    • (1995) Networks , vol.26 , pp. 231-241
    • Myulg, Y.-S.1    Lee, C.-H.2    Tcha, D.-W.3
  • 22
    • 0000243051 scopus 로고
    • A Lagrangian based approach for the symmetric generalized travelling salesman problem
    • Noon C.E., and Bean J.C. A Lagrangian based approach for the symmetric generalized travelling salesman problem. Operations Research 39 (1991) 623-632
    • (1991) Operations Research , vol.39 , pp. 623-632
    • Noon, C.E.1    Bean, J.C.2
  • 23
    • 34250630517 scopus 로고    scopus 로고
    • Approximation algorithm for the group Steiner network problem
    • Penn M., and Rozenfeld S. Approximation algorithm for the group Steiner network problem. Networks 49 2 (2007) 160-167
    • (2007) Networks , vol.49 , Issue.2 , pp. 160-167
    • Penn, M.1    Rozenfeld, S.2
  • 24
    • 85032461874 scopus 로고
    • Beyond Steiner's problem: A VLSI oriented generalization
    • Reich G., and Widmayer P. Beyond Steiner's problem: A VLSI oriented generalization. Lecture Notes in Computer Science 411 (1989) 196-211
    • (1989) Lecture Notes in Computer Science , vol.411 , pp. 196-211
    • Reich, G.1    Widmayer, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.