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Volumn 2647, Issue , 2003, Pages 1-14

Improving linear programming approaches for the Steiner tree problem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BENCHMARKING; LINEAR TRANSFORMATIONS; MATHEMATICAL TRANSFORMATIONS; TREES (MATHEMATICS);

EID: 34547434935     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44867-5_1     Document Type: Article
Times cited : (11)

References (25)
  • 2
    • 84987027598 scopus 로고
    • An integer linear programming approach to the Steiner problem in graphs
    • Y. P. Aneja. An integer linear programming approach to the Steiner problem in graphs. Networks, 10:167-178, 1980.
    • (1980) Networks , vol.10 , pp. 167-178
    • Aneja, Y.P.1
  • 3
    • 0003465839 scopus 로고
    • Technical report, Center for Discrete Mathematics and Theoretical Computer Science, Rutgers University, Piscataway, NJ
    • D. Applegate, R. Bixby, V. Chvátal, and W. Cook. Finding cuts in the TSP (A preliminary report). Technical report, Center for Discrete Mathematics and Theoretical Computer Science, Rutgers University, Piscataway, NJ, 1995.
    • (1995) Finding Cuts in the TSP (A Preliminary Report)
    • Applegate, D.1    Bixby, R.2    Chvátal, V.3    Cook, W.4
  • 4
    • 84959065847 scopus 로고    scopus 로고
    • TSP cuts which do not conform to the template paradigm
    • Michael Jünger and Denis Naddef, editors, Computational Combinatorial Optimization, Springer
    • D. Applegate, R. Bixby, V. Chvátal, and W. Cook. TSP cuts which do not conform to the template paradigm. In Michael Jünger and Denis Naddef, editors, Computational Combinatorial Optimization, volume 2241 of Lecture Notes in Computer Science. Springer, 2001.
    • (2001) Lecture Notes in Computer Science , vol.2241
    • Applegate, D.1    Bixby, R.2    Chvátal, V.3    Cook, W.4
  • 5
    • 0016424345 scopus 로고
    • On the set-covering problem: II. An algorithm for set partitioning
    • E. Balas and M. Padberg. On the set-covering problem: II. An algorithm for set partitioning. Operations Research, 23:74-90, 1975.
    • (1975) Operations Research , vol.23 , pp. 74-90
    • Balas, E.1    Padberg, M.2
  • 6
    • 0041965554 scopus 로고    scopus 로고
    • Steiner Trees in Industry
    • X. Cheng and D.-Z. Du, editors. Kluwer Academic Publishers, Dordrecht
    • X. Cheng and D.-Z. Du, editors. Steiner Trees in Industry, volume 11 of Combinatorial Optimization. Kluwer Academic Publishers, Dordrecht, 2001.
    • (2001) Combinatorial Optimization , vol.11
  • 7
    • 34249770791 scopus 로고
    • The Steiner tree problem I: Formulations, compositions and extension of facets
    • S. Chopra and M. R. Rao. The Steiner tree problem I: Formulations, compositions and extension of facets. Mathematical Programming, pages 209-229, 1994.
    • (1994) Mathematical Programming , pp. 209-229
    • Chopra, S.1    Rao, M.R.2
  • 9
    • 35248883162 scopus 로고    scopus 로고
    • A primal approach to the stable set problem
    • R. Möhring and R. Raman, editors, Algorithms - ESA 2002, Rom, Italy, Springer
    • C. Gentile, U.-U. Haus, M. Köppe, G. Rinaldi, and R. Weismantel. A primal approach to the stable set problem. In R. Möhring and R. Raman, editors, Algorithms - ESA 2002, volume 2461 of Lecture Notes in Computer Science, pages 525-537, Rom, Italy, 2002. Springer.
    • (2002) Lecture Notes in Computer Science , vol.2461 , pp. 525-537
    • Gentile, C.1    Haus, U.-U.2    Köppe, M.3    Rinaldi, G.4    Weismantel, R.5
  • 12
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R. E. Miller and J. W. Thatcher, editors, Plenum Press, New York
    • R. M. Karp. Reducibility among combinatorial problems. In R. E. Miller and J. W. Thatcher, editors, Complexity of Computer Computations, pages 85-103. Plenum Press, New York, 1972.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 13
    • 0039986425 scopus 로고    scopus 로고
    • Solving Steiner tree problems in graphs to optimality
    • T. Koch and A. Martin. Solving Steiner tree problems in graphs to optimality. Networks, 32:207-232, 1998.
    • (1998) Networks , vol.32 , pp. 207-232
    • Koch, T.1    Martin, A.2
  • 14
    • 9544242636 scopus 로고    scopus 로고
    • Efficient separation routines for the symmetric traveling salesman problem i: General tools and comb separation
    • D. Naddef and S. Thienel. Efficient separation routines for the symmetric traveling salesman problem i: general tools and comb separation. Mathematical Programming, 92(2):237-255, 2002.
    • (2002) Mathematical Programming , vol.92 , Issue.2 , pp. 237-255
    • Naddef, D.1    Thienel, S.2
  • 15
    • 33751016059 scopus 로고    scopus 로고
    • Efficient separation routines for the symmetric traveling salesman problem ii: Separating multi handle inequalities
    • D. Naddef and S. Thienel. Efficient separation routines for the symmetric traveling salesman problem ii: separating multi handle inequalities. Mathematical Programming, 92(2):257-283, 2002.
    • (2002) Mathematical Programming , vol.92 , Issue.2 , pp. 257-283
    • Naddef, D.1    Thienel, S.2
  • 17
  • 18
    • 0011870088 scopus 로고    scopus 로고
    • Research Report MPI-I-2001-1-006, Max-Planck-Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany
    • T. Polzin and S. Vahdati Daneshmand. Partitioning techniques for the Steiner problem. Research Report MPI-I-2001-1-006, Max-Planck-Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany, 2001.
    • (2001) Partitioning Techniques for the Steiner Problem
    • Polzin, T.1    Vahdati Daneshmand, S.2
  • 19
    • 84863045159 scopus 로고    scopus 로고
    • Extending reduction techniques for the steiner tree problem
    • R. Möhring and R. Raman, editors, Algorithms - ESA 2002, Rom, Italy, Springer
    • T. Polzin and S. Vahdati Daneshmand. Extending reduction techniques for the steiner tree problem. In R. Möhring and R. Raman, editors, Algorithms - ESA 2002, volume 2461 of Lecture Notes in Computer Science, pages 795-807, Rom, Italy, 2002. Springer.
    • (2002) Lecture Notes in Computer Science , vol.2461 , pp. 795-807
    • Polzin, T.1    Vahdati Daneshmand, S.2
  • 21
    • 0026225350 scopus 로고
    • TSPLIB - A traveling salesman problem library
    • G. Reinelt. TSPLIB - a traveling salesman problem library. ORSA Journal on Computing, 3:376-384, 1991.
    • (1991) ORSA Journal on Computing , vol.3 , pp. 376-384
    • Reinelt, G.1
  • 22
    • 35248813097 scopus 로고    scopus 로고
    • SteinLib. T. Koch, A. Martin, and S. Voß
    • SteinLib. http://elib.zib.de/steinlib, 1997. T. Koch, A. Martin, and S. Voß.
    • (1997)
  • 23
    • 0002642479 scopus 로고    scopus 로고
    • Exact algorithms for plane Steiner tree problems: A computational study
    • D-Z. Du, J. M. Smith, and J. H. Rubinstein, editors, Kluwer Academic Publishers
    • D. M. Warme, P. Winter, and M. Zachariasen. Exact algorithms for plane Steiner tree problems: A computational study. In D-Z. Du, J. M. Smith, and J. H. Rubinstein, editors, Advances in Steiner Trees, pages 81-116. Kluwer Academic Publishers, 2000.
    • (2000) Advances in Steiner Trees , pp. 81-116
    • Warme, D.M.1    Winter, P.2    Zachariasen, M.3
  • 25
    • 0021411220 scopus 로고
    • A dual ascent approach for Steiner tree problems on a directed graph
    • R. T. Wong. A dual ascent approach for Steiner tree problems on a directed graph. Mathematical Programming, 28:271-287, 1984.
    • (1984) Mathematical Programming , vol.28 , pp. 271-287
    • Wong, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.