메뉴 건너뛰기




Volumn 174, Issue 3, 2006, Pages 1479-1490

A Benders decomposition approach for the robust spanning tree problem with interval data

Author keywords

Benders decomposition; Combinatorial optimization; Interval data; Minimum spanning tree; Robustness

Indexed keywords

BENCHMARKING; COMPUTATIONAL METHODS; DATA REDUCTION; DECOMPOSITION; MATHEMATICAL MODELS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); TELECOMMUNICATION;

EID: 33747006672     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2005.02.060     Document Type: Article
Times cited : (61)

References (31)
  • 2
    • 33746953426 scopus 로고    scopus 로고
    • I. Aron, P. Van Hentenryck. A constraints satisfaction approach to the robust spanning tree problem with interval data, in: Proceedings of the 18th Conference on Uncertainty in Artificial Intelligence (UAI), August 2002.
  • 3
    • 0142029538 scopus 로고    scopus 로고
    • On the complexity of the robust spanning tree with interval data
    • Aron I., and Van Hentenryck P. On the complexity of the robust spanning tree with interval data. Operations Research Letters 32 1 (2003) 136-140
    • (2003) Operations Research Letters , vol.32 , Issue.1 , pp. 136-140
    • Aron, I.1    Van Hentenryck, P.2
  • 4
    • 0242458670 scopus 로고    scopus 로고
    • On the complexity of a class of combinatorial optimization problems with uncertainty
    • Averbakh I. On the complexity of a class of combinatorial optimization problems with uncertainty. Mathematical Programming (2001) 263-272
    • (2001) Mathematical Programming , pp. 263-272
    • Averbakh, I.1
  • 5
    • 9644308639 scopus 로고
    • Partitioning procedures for solving mixed integer variables programming problems
    • Benders J.F. Partitioning procedures for solving mixed integer variables programming problems. Numerische Mathematik 4 (1962) 238-252
    • (1962) Numerische Mathematik , vol.4 , pp. 238-252
    • Benders, J.F.1
  • 7
    • 0034187909 scopus 로고    scopus 로고
    • A Benders decomposition approach for the locomotive and car assignment problem
    • Cordeau J.-F., Laporte G., and Mercier A. A Benders decomposition approach for the locomotive and car assignment problem. Transportation Science 34 (2000) 133-149
    • (2000) Transportation Science , vol.34 , pp. 133-149
    • Cordeau, J.-F.1    Laporte, G.2    Mercier, A.3
  • 8
    • 0035520607 scopus 로고    scopus 로고
    • Benders decomposition for simultaneous aircraft routing and crew scheduling
    • Cordeau J.-F., Stojkovic G., Soumis F., and Desrosiers J. Benders decomposition for simultaneous aircraft routing and crew scheduling. Transportation Science 35 (2001) 375-388
    • (2001) Transportation Science , vol.35 , pp. 375-388
    • Cordeau, J.-F.1    Stojkovic, G.2    Soumis, F.3    Desrosiers, J.4
  • 9
    • 84942604551 scopus 로고    scopus 로고
    • A.V. Donati, R. Montemanni, L.M. Gambardella, A.E. Rizzoli, Integration of a robust shortest path algorithm with a time dependent vehicle routing model and applications, in: Proceedings of CIMSA 2003, July 2003, pp. 26-31.
  • 10
    • 33746989682 scopus 로고    scopus 로고
    • J.J. Dongarra, Performance of various computers using standard linear algebra software in a fortran environment. Technical Report CS-89-85, University of Tennessee, July 2003.
  • 12
    • 0015973449 scopus 로고
    • Multicommodity distribution system design by Benders decomposition
    • Geoffrion A.M., and Graves G.W. Multicommodity distribution system design by Benders decomposition. Management Science 20 5 (1974) 822-844
    • (1974) Management Science , vol.20 , Issue.5 , pp. 822-844
    • Geoffrion, A.M.1    Graves, G.W.2
  • 13
    • 33747024456 scopus 로고    scopus 로고
    • O.E. Karaşan, M.Ç. Pinar, H. Yaman, The robust shortest path problem with interval data, Bilkent University, 2001.
  • 15
    • 0004481480 scopus 로고
    • Interval spanning trees problem: Solvability and computational complexity
    • Kozina G.L., and Perepelista V.A. Interval spanning trees problem: Solvability and computational complexity. Interval Computations 1 (1994) 42-50
    • (1994) Interval Computations , vol.1 , pp. 42-50
    • Kozina, G.L.1    Perepelista, V.A.2
  • 16
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the travelling salesman problem
    • Kruskal J.B. On the shortest spanning subtree of a graph and the travelling salesman problem. Proceedings of the American Mathematical Society 7 (1956) 48-50
    • (1956) Proceedings of the American Mathematical Society , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 19
    • 0019563311 scopus 로고
    • Accelerating Benders decomposition: Algorithmic enhancement and model selection criteria
    • Magnanti T.L., and Wong R.T. Accelerating Benders decomposition: Algorithmic enhancement and model selection criteria. Operations Research 29 3 (1981) 464-483
    • (1981) Operations Research , vol.29 , Issue.3 , pp. 464-483
    • Magnanti, T.L.1    Wong, R.T.2
  • 20
    • 0000715666 scopus 로고
    • A modified Benders' partitioning algorithm for mixed integer programming
    • McDaniel D., and Devine M. A modified Benders' partitioning algorithm for mixed integer programming. Management Science 24 (1977) 312-379
    • (1977) Management Science , vol.24 , pp. 312-379
    • McDaniel, D.1    Devine, M.2
  • 21
    • 1842843696 scopus 로고    scopus 로고
    • An exact algorithm for the robust shortest path problem with interval data
    • Montemanni R., and Gambardella L.M. An exact algorithm for the robust shortest path problem with interval data. Computers and Operations Research 31 10 (2004) 1667-1680
    • (2004) Computers and Operations Research , vol.31 , Issue.10 , pp. 1667-1680
    • Montemanni, R.1    Gambardella, L.M.2
  • 22
    • 33747012106 scopus 로고    scopus 로고
    • R. Montemanni, L.M. Gambardella. The robust shortest path problem with interval data via Benders decomposition, European Journal of Operational Research, to appear.
  • 23
    • 7544232733 scopus 로고    scopus 로고
    • A branch and bound algorithm for the robust spanning tree problem with interval data
    • Montemanni R., and Gambardella L.M. A branch and bound algorithm for the robust spanning tree problem with interval data. European Journal of Operational Research 161 3 (2005) 771-779
    • (2005) European Journal of Operational Research , vol.161 , Issue.3 , pp. 771-779
    • Montemanni, R.1    Gambardella, L.M.2
  • 24
    • 0348233470 scopus 로고    scopus 로고
    • A branch and bound algorithm for the robust shortest path problem with interval data
    • Montemanni R., Gambardella L.M., and Donati A.V. A branch and bound algorithm for the robust shortest path problem with interval data. Operations Research Letters 32 3 (2004) 225-232
    • (2004) Operations Research Letters , vol.32 , Issue.3 , pp. 225-232
    • Montemanni, R.1    Gambardella, L.M.2    Donati, A.V.3
  • 25
    • 33746958311 scopus 로고    scopus 로고
    • R. Montemanni, L.M. Gambardella, A.V. Donati. A comparison of two new exact algorithms for the robust shortest path problem, in: Proceedings of TRISTAN V-The Fifth TRIennial Symposium on Transportation ANalysis, June 2004.
  • 26
    • 84911584312 scopus 로고
    • Shortest connection networks and some generalizations
    • Prim R.C. Shortest connection networks and some generalizations. Bell System Technical Journal 36 (1957) 1389-1401
    • (1957) Bell System Technical Journal , vol.36 , pp. 1389-1401
    • Prim, R.C.1
  • 27
    • 0016917903 scopus 로고
    • An optimization approach to routing aircraft
    • Richardson R. An optimization approach to routing aircraft. Transportation Science 10 (1976) 52-71
    • (1976) Transportation Science , vol.10 , pp. 52-71
    • Richardson, R.1
  • 29
    • 33747022931 scopus 로고    scopus 로고
    • H. Yaman, O.E. Karaşan, M.Ç. Pinar, Restricted robust optimization for maximization over uniform matroid with interval data uncertainty, Bilkent University, 2004.
  • 30
    • 0032093911 scopus 로고    scopus 로고
    • On the robust shortest path problem
    • Yu G., and Yang J. On the robust shortest path problem. Computers and Operations Research 25 6 (1998) 457-468
    • (1998) Computers and Operations Research , vol.25 , Issue.6 , pp. 457-468
    • Yu, G.1    Yang, J.2
  • 31
    • 2942622602 scopus 로고    scopus 로고
    • The computational complexity of the relative robust shortest path problem with interval data
    • Zieliński P. The computational complexity of the relative robust shortest path problem with interval data. European Journal of Operational Research 158 3 (2004) 570-576
    • (2004) European Journal of Operational Research , vol.158 , Issue.3 , pp. 570-576
    • Zieliński, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.