메뉴 건너뛰기




Volumn , Issue , 2004, Pages 218-227

An edge in time saves nine: LP rounding approximation algorithms for stochastic network design

Author keywords

[No Author keywords available]

Indexed keywords

NETWORK PLANNING PROBLEM; ROUTING; STOCHASTIC NETWORK DESIGN; STOCHASTIC STEINER TREES;

EID: 17744400754     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (38)

References (37)
  • 1
    • 0029322754 scopus 로고
    • When trees collide: An approximation algorithm for the generalized Steiner problem on networks
    • Preliminary version in 23rd STOC, 1991
    • Ajit Agrawal, Philip Klein, and R. Ravi. When trees collide: an approximation algorithm for the generalized Steiner problem on networks. SIAM J. Comput., 24(3):440-456, 1995. (Preliminary version in 23rd STOC, 1991).
    • (1995) SIAM J. Comput. , vol.24 , Issue.3 , pp. 440-456
    • Agrawal, A.1    Klein, P.2    Ravi, R.3
  • 4
    • 0001454852 scopus 로고    scopus 로고
    • On minimizing a convex function subject to linear inequalities
    • discussion, 194-203, 1955. (Symposium on linear programming.)
    • E. M. L. Beale. On minimizing a convex function subject to linear inequalities. J. Roy. Statist. Soc. Ser. B., 17:173-184; discussion, 194-203, 1955. (Symposium on linear programming.).
    • J. Roy. Statist. Soc. Ser. B. , vol.17 , Issue.1 , pp. 73-184
    • Beale, E.M.L.1
  • 5
    • 0001237931 scopus 로고    scopus 로고
    • Capacitated network design - Polyhedral structure and computation
    • D. Bienstock and O. Günluk. Capacitated network design - polyhedral structure and computation. INFORMS Journal on Computing, 8(3):243-259, 1996.
    • (1996) INFORMS Journal on Computing , vol.8 , Issue.3 , pp. 243-259
    • Bienstock, D.1    Günluk, O.2
  • 8
    • 0033900420 scopus 로고    scopus 로고
    • Strengthening integrality gaps for capacitated network design and covering problems
    • Robert D. Carr, Lisa Fleischer, Vitus J. Leung, and Cynthia A. Phillips. Strengthening integrality gaps for capacitated network design and covering problems. In Symposium on Discrete Algorithms, pages 106-115, 2000.
    • (2000) Symposium on Discrete Algorithms , pp. 106-115
    • Carr, R.D.1    Fleischer, L.2    Leung, V.J.3    Phillips, C.A.4
  • 9
    • 0000813562 scopus 로고
    • Linear programming under uncertainty
    • George B. Dantzig. Linear programming under uncertainty. Management Sci., 1:197-206, 1955.
    • (1955) Management Sci. , vol.1 , pp. 197-206
    • Dantzig, G.B.1
  • 11
    • 84947248249 scopus 로고    scopus 로고
    • On the integrality gap of a natural formulation of the single-sink buy-at-bulk network design formulation
    • Proceedings of the 8th Integer Programming and Combinatorial Optimization Conference
    • Naveen Garg, Rohit Khandekar, Goran Konjevod, R. Ravi, F. Sibel Salman, and Amitabh Sinha. On the integrality gap of a natural formulation of the single-sink buy-at-bulk network design formulation. In Proceedings of the 8th Integer Programming and Combinatorial Optimization Conference, volume 2081 of Lecture Notes in Computer Science, pages 170-184, 2001.
    • (2001) Lecture Notes in Computer Science , vol.2081 , pp. 170-184
    • Garg, N.1    Khandekar, R.2    Konjevod, G.3    Ravi, R.4    Salman, F.S.5    Sinha, A.6
  • 12
    • 0029289832 scopus 로고
    • A general approximation technique for constrained forest problems
    • Preliminary version in 5th SODA, 1994
    • Michel X. Goemans and David P. Williamson. A general approximation technique for constrained forest problems. SIAM J. Comput., 24(2):296-317, 1995. (Preliminary version in 5th SODA, 1994).
    • (1995) SIAM J. Comput. , vol.24 , Issue.2 , pp. 296-317
    • Goemans, M.X.1    Williamson, D.P.2
  • 16
    • 84937402382 scopus 로고    scopus 로고
    • Approximation algorithms for a capacitated network design problem
    • Refael Hassin, R. Ravi, and F. S. Salman. Approximation algorithms for a capacitated network design problem. In APPROX, pages 167-176, 2000.
    • (2000) APPROX , pp. 167-176
    • Hassin, R.1    Ravi, R.2    Salman, F.S.3
  • 19
    • 0000779398 scopus 로고
    • Dynamic Steiner tree problem
    • Makoto Imase and Bernard M. Waxman. Dynamic Steiner tree problem. SIAM J. Discrete Math., 4(3):369-384, 1991.
    • (1991) SIAM J. Discrete Math. , vol.4 , Issue.3 , pp. 369-384
    • Imase, M.1    Waxman, B.M.2
  • 21
    • 0003410673 scopus 로고    scopus 로고
    • Wiley-Interscience Series in Systems and Optimization. John Wiley & Sons Ltd., Chichester
    • Peter Kall and Stein W. Wallace. Stochastic programming. Wiley-Interscience Series in Systems and Optimization. John Wiley & Sons Ltd., Chichester, 1994.
    • (1994) Stochastic Programming
    • Kall, P.1    Wallace, S.W.2
  • 23
    • 34249756853 scopus 로고
    • Balancing minimum spanning and shortest path trees
    • Samir Khuller, Balaji Raghavachari, and Neal E. Young. Balancing minimum spanning and shortest path trees. Algorithmica, 14(4):305-322, 1995.
    • (1995) Algorithmica , vol.14 , Issue.4 , pp. 305-322
    • Khuller, S.1    Raghavachari, B.2    Young, N.E.3
  • 24
    • 0042941240 scopus 로고    scopus 로고
    • Stochastic integer programming: General models and algorithms
    • Stochastic programming. State of the art, 1998 (Vancouver, BC)
    • Willem K. Klein Haneveld and Maarten H. van der Vlerk. Stochastic integer programming: general models and algorithms. Ann. Oper. Res., 85:39-57, 1999. Stochastic programming. State of the art, 1998 (Vancouver, BC).
    • (1999) Ann. Oper. Res. , vol.85 , pp. 39-57
    • Haneveld, W.K.K.1    Van Der Vlerk, M.H.2
  • 25
    • 0003410673 scopus 로고    scopus 로고
    • Department of Econometrics and OR, University of Groningen, Netherlands
    • Willem K. Klein Haneveld and Maarten H. van der Vlerk. Stochastic Programming. Department of Econometrics and OR, University of Groningen, Netherlands, 2003.
    • (2003) Stochastic Programming.
    • Haneveld, W.K.K.1    Van Der Vlerk, M.H.2
  • 26
    • 0001258594 scopus 로고
    • Modeling and solving the capacitated network loading problem
    • T. L. Magnanti, P. Mirchandani, and R. Vachani. Modeling and solving the capacitated network loading problem. Operations Research, 43:142-157, 1995.
    • (1995) Operations Research , vol.43 , pp. 142-157
    • Magnanti, T.L.1    Mirchandani, P.2    Vachani, R.3
  • 27
    • 0021376457 scopus 로고
    • Network design and transportation planning: Models and algorithms
    • T. L. Magnanti and R. T. Wong. Network design and transportation planning: Models and algorithms. Transportation Science, 18:1-55, 1984.
    • (1984) Transportation Science , vol.18 , pp. 1-55
    • Magnanti, T.L.1    Wong, R.T.2
  • 28
    • 17744372553 scopus 로고    scopus 로고
    • An approximation algorithm for minimum-cost network design
    • Robust communication networks: interconnection and survivability (New Brunswick, NJ, 1998), Amer. Math. Soc., Providence, RI
    • Yishay Mansour and David Peleg. An approximation algorithm for minimum-cost network design. In Robust communication networks: interconnection and survivability (New Brunswick, NJ, 1998), volume 53 of DIMACS Ser. Discrete Math. Theoret. Comput. Sci., pages 97-106. Amer. Math. Soc., Providence, RI, 2000.
    • (2000) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.53 , pp. 97-106
    • Mansour, Y.1    Peleg, D.2
  • 29
    • 0022099739 scopus 로고
    • Valid linear inequalities for fixed charge problems
    • M. W. Padberg, T. J. Van Roy, and L. A. Wolsey. Valid linear inequalities for fixed charge problems. Operations Research, 33:842-861, 1985.
    • (1985) Operations Research , vol.33 , pp. 842-861
    • Padberg, M.W.1    Van Roy, T.J.2    Wolsey, L.A.3
  • 31
    • 0347156801 scopus 로고    scopus 로고
    • Approximation algorithms for the traveling purchaser problem and its variants in network design
    • Algorithms - ESA '99(Prague), Springer, Berlin
    • R. Ravi and F. S. Salman. Approximation algorithms for the traveling purchaser problem and its variants in network design. In Algorithms - ESA '99(Prague), volume 1643 of Lecture Notes in Comput. Sci., pages 29-40. Springer, Berlin, 1999.
    • (1999) Lecture Notes in Comput. Sci. , vol.1643 , pp. 29-40
    • Ravi, R.1    Salman, F.S.2
  • 34
    • 18044400590 scopus 로고    scopus 로고
    • Approximating the single-sink link-installation problem in network design
    • F. Sibel Salman, Joseph Cheriyan, R. Ravi, and Sairam Subramanian. Approximating the single-sink link-installation problem in network design. SIAM Journal on Optimization, 11(3):595-610, 2000.
    • (2000) SIAM Journal on Optimization , vol.11 , Issue.3 , pp. 595-610
    • Salman, F.S.1    Cheriyan, J.2    Ravi, R.3    Subramanian, S.4
  • 35
    • 0030524452 scopus 로고    scopus 로고
    • Two-stage stochastic integer programming: A survey
    • R. Schultz, L. Stougie, and M. H. van der Vlerk. Two-stage stochastic integer programming: a survey. Statist. Neerlandica, 50(3):404-416, 1996.
    • (1996) Statist. Neerlandica , vol.50 , Issue.3 , pp. 404-416
    • Schultz, R.1    Stougie, L.2    Van Der Vlerk, M.H.3
  • 37
    • 84868668990 scopus 로고    scopus 로고
    • Single-sink buy-at-bulk LP has constant integrality gap
    • Proceedings of the 9th Integer Programming and Combinatorial Optimization Conference
    • Kunal Talwar. Single-sink buy-at-bulk LP has constant integrality gap. In Proceedings of the 9th Integer Programming and Combinatorial Optimization Conference, volume 2337 of Lecture Notes in Computer Science, pages 475-486, 2002.
    • (2002) Lecture Notes in Computer Science , vol.2337 , pp. 475-486
    • Talwar, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.