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Volumn 47, Issue 1, 2007, Pages 53-78

Approximation algorithms for the unsplittable flow problem

Author keywords

Alteration; Approximation algorithms; Disjoint paths; Expanders; Line networks; Randomized rounding; Ring network; Unsplittable flow problem

Indexed keywords

CONSTANT FACTOR APPROXIMATION ALGORITHMS; DISJOINT PATHS; LINE NETWORKS; RANDOMIZED ROUNDING; RING NETWORKS; UNSPLITTABLE FLOW PROBLEM (UFP);

EID: 33846875601     PISSN: 01784617     EISSN: 14320541     Source Type: Journal    
DOI: 10.1007/s00453-006-1210-5     Document Type: Article
Times cited : (94)

References (44)
  • 7
    • 0001334002 scopus 로고    scopus 로고
    • (Seffi) Naor, and Baruch Schieber. A unified approach to approximating resource allocation and scheduling
    • Amotz Bar-Noy, Reuven Bar-Yehuda, Ari Freund, Joseph (Seffi) Naor, and Baruch Schieber. A unified approach to approximating resource allocation and scheduling. J. ACM, 48(5):1069-1090, 2001.
    • (2001) J. ACM , vol.48 , Issue.5 , pp. 1069-1090
    • Bar-Noy, A.1    Bar-Yehuda, R.2    Ari Freund, J.3
  • 8
    • 33846893543 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, pages 735-744, 2000.
    • Preliminary version in Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, pages 735-744, 2000.
  • 9
    • 0036253499 scopus 로고    scopus 로고
    • Approximating the throughput of multiple machines in real-time scheduling
    • Amotz Bar-Noy, Sudipto Guha, Joseph Naor, and Baruch Schieber. Approximating the throughput of multiple machines in real-time scheduling. SIAM J. Comput., 31(2):331-352, 2001.
    • (2001) SIAM J. Comput , vol.31 , Issue.2 , pp. 331-352
    • Bar-Noy, A.1    Guha, S.2    Naor, J.3    Schieber, B.4
  • 10
    • 0034187916 scopus 로고    scopus 로고
    • Approximation algorithms for disjoint paths and related routing and packing problems
    • Alok Baveja and Aravind Srinivasan. Approximation algorithms for disjoint paths and related routing and packing problems. Math. Oper. Res., 25(2):255-280, 2000.
    • (2000) Math. Oper. Res , vol.25 , Issue.2 , pp. 255-280
    • Baveja, A.1    Srinivasan, A.2
  • 12
    • 0038285479 scopus 로고    scopus 로고
    • Arc-disjoint paths in expander digraphs
    • Tom Bohman and Alan Frieze. Arc-disjoint paths in expander digraphs. SIAM J. Comput., 32(2):326-344, 2003.
    • (2003) SIAM J. Comput , vol.32 , Issue.2 , pp. 326-344
    • Bohman, T.1    Frieze, A.2
  • 13
    • 0028516588 scopus 로고
    • Existence and construction of edge-disjoint paths on expander graphs
    • Andrei Z. Broder, Alan M. Frieze, and Eli Upfal. Existence and construction of edge-disjoint paths on expander graphs. SIAM J. Comput., 23(5):976-989, 1994.
    • (1994) SIAM J. Comput , vol.23 , Issue.5 , pp. 976-989
    • Broder, A.Z.1    Frieze, A.M.2    Upfal, E.3
  • 14
    • 33748116320 scopus 로고    scopus 로고
    • Improved approximation algorithms for resource allocation
    • Proceedings of the 9th Integer Programming and Combinatorial Optimization Conference, of, Berlin
    • Gruia Calinescu, Amit Chakrabarti, Howard Karloff, and Yuval Rabani. Improved approximation algorithms for resource allocation. In Proceedings of the 9th Integer Programming and Combinatorial Optimization Conference, pages 439-456. Volume 2337 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 2001.
    • (2001) Lecture Notes in Computer Science. Springer-Verlag , vol.2337 , pp. 439-456
    • Calinescu, G.1    Chakrabarti, A.2    Karloff, H.3    Rabani, Y.4
  • 16
    • 35248848767 scopus 로고    scopus 로고
    • Multicommodity demand flow in a tree (extended abstract)
    • Automata, Languages and Programming, of, Springer-Verlag, Berlin
    • Chandra Chekuri, Marcelo Mydlarz, and F. Bruce Shepherd. Multicommodity demand flow in a tree (extended abstract). In Automata, Languages and Programming, pages 410-425. Volume 2719 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 2003.
    • (2003) Lecture Notes in Computer Science , vol.2719 , pp. 410-425
    • Chekuri, C.1    Mydlarz, M.2    Bruce Shepherd, F.3
  • 17
    • 0000114717 scopus 로고    scopus 로고
    • Approximating fractional multicommodity flow independent of the number of commodities
    • Lisa K. Fleischer. Approximating fractional multicommodity flow independent of the number of commodities. SIAM J. Discrete Math., 13(4):505-520, 2000.
    • (2000) SIAM J. Discrete Math , vol.13 , Issue.4 , pp. 505-520
    • Fleischer, L.K.1
  • 18
    • 0035704466 scopus 로고    scopus 로고
    • Edge-disjoint paths on expander graphs
    • Alan M. Frieze. Edge-disjoint paths on expander graphs. SIAM J. Comput., 30(6):1790-1801, 2001.
    • (2001) SIAM J. Comput , vol.30 , Issue.6 , pp. 1790-1801
    • Frieze, A.M.1
  • 20
    • 0346837920 scopus 로고    scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees
    • Naveen Garg, Vijay Vazirani, and Mihalis Yannakakis. Primal-dual approximation algorithms for integral flow and multicut in trees. Algorithmica, 18(1):3-20, 1997.
    • (1997) Algorithmica , vol.18 , Issue.1 , pp. 3-20
    • Garg, N.1    Vazirani, V.2    Yannakakis, M.3
  • 21
    • 33846856599 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of the 20th International Colloquium on Automata, Languages, and Programming, pages 64-75, 1993.
    • Preliminary version in Proceedings of the 20th International Colloquium on Automata, Languages, and Programming, pages 64-75, 1993.
  • 22
    • 0242581705 scopus 로고    scopus 로고
    • Near-optimal hardness results and approximation algorithms for edge-disjoint paths and related problems
    • Venkatesan Guruswami, Sanjeev Khanna, Rajmohan Rajaraman, Bruce Shepherd, and Mihalis Yannakakis. Near-optimal hardness results and approximation algorithms for edge-disjoint paths and related problems. J. Comput. System Sci., 67(3):473-496, 2003.
    • (2003) J. Comput. System Sci , vol.67 , Issue.3 , pp. 473-496
    • Guruswami, V.1    Khanna, S.2    Rajaraman, R.3    Shepherd, B.4    Yannakakis, M.5
  • 23
    • 33846872031 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of 31st ACM Symposium on Theory of Computing, pages 19-28, 1999.
    • Preliminary version in Proceedings of 31st ACM Symposium on Theory of Computing, pages 19-28, 1999.
  • 26
    • 13844317307 scopus 로고    scopus 로고
    • Approximating disjoint-path problems using packing integer programs
    • Stavros Kolliopoulos and Cliff Stein. Approximating disjoint-path problems using packing integer programs. Math. Programm. Ser. A, 99(1):63-87, 2004.
    • (2004) Math. Programm. Ser. A , vol.99 , Issue.1 , pp. 63-87
    • Kolliopoulos, S.1    Stein, C.2
  • 27
    • 33846860494 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of IPCO, pages 153-168, 1998.
    • Preliminary version in Proceedings of IPCO, pages 153-168, 1998.
  • 28
    • 21044450066 scopus 로고    scopus 로고
    • Simple on-line algorithms for the maximum disjoint paths problem
    • Petr Kolman and Christian Scheideler. Simple on-line algorithms for the maximum disjoint paths problem. Algorithmica, 39(3):209-233, 2004.
    • (2004) Algorithmica , vol.39 , Issue.3 , pp. 209-233
    • Kolman, P.1    Scheideler, C.2
  • 29
    • 33846852311 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of the 13th ACM Symposium on Parallel Algorithms and Architectures, pages 38-47, 2001.
    • Preliminary version in Proceedings of the 13th ACM Symposium on Parallel Algorithms and Architectures, pages 38-47, 2001.
  • 30
    • 33751074448 scopus 로고    scopus 로고
    • Improved bounds for the unsplittable flow problem
    • To appear in
    • Petr Kolman and Christian Scheideler. Improved bounds for the unsplittable flow problem. To appear in J. Algorithms.
    • J. Algorithms
    • Kolman, P.1    Scheideler, C.2
  • 31
    • 33846888176 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 184-193, 2002.
    • Preliminary version in Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 184-193, 2002.
  • 32
    • 0000651166 scopus 로고    scopus 로고
    • Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
    • F. Thomas Leighton and Satish B. Rao. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. J. ACM, 46(6):787-832, 1999.
    • (1999) J. ACM , vol.46 , Issue.6 , pp. 787-832
    • Thomas Leighton, F.1    Rao, S.B.2
  • 33
    • 33846873358 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of the 29th Annual Symposium on Foundations of Computer Science, pages 422-431, 1988.
    • Preliminary version in Proceedings of the 29th Annual Symposium on Foundations of Computer Science, pages 422-431, 1988.
  • 36
    • 0347699574 scopus 로고    scopus 로고
    • Off-line admission control for general scheduling problems
    • Cynthia A. Phillips, R. N. Uma, and Joel Wein. Off-line admission control for general scheduling problems. J. Sched., 3(6):365-381, 2000.
    • (2000) J. Sched , vol.3 , Issue.6 , pp. 365-381
    • Phillips, C.A.1    Uma, R.N.2    Wein, J.3
  • 37
    • 33846865217 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of 11th SODA, pages 879-888, 2000.
    • Preliminary version in Proceedings of 11th SODA, pages 879-888, 2000.
  • 38
    • 0000126694 scopus 로고
    • Fast approximation algorithms for fractional packing and covering problems
    • Serge A. Plotkin, David B. Shmoys, and Éva Tardos. Fast approximation algorithms for fractional packing and covering problems. Math. Oper. Res., 20(2):257-301, 1995.
    • (1995) Math. Oper. Res , vol.20 , Issue.2 , pp. 257-301
    • Plotkin, S.A.1    Shmoys, D.B.2    Tardos, E.3
  • 39
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • Prabhakar Raghavan. Probabilistic construction of deterministic algorithms: approximating packing integer programs. J. Comput. System Sci., 37(2): 130-143, 1988.
    • (1988) J. Comput. System Sci , vol.37 , Issue.2 , pp. 130-143
    • Raghavan, P.1
  • 40
    • 33846887939 scopus 로고    scopus 로고
    • Preliminary version in Proceedings of FOCS, pages 10-18, 1986.
    • Preliminary version in Proceedings of FOCS, pages 10-18, 1986.
  • 44
    • 21944447959 scopus 로고    scopus 로고
    • Graph decomposition and the Greedy algorithm for edge-disjoint paths
    • Kasturi Varadarajan and Ganesh Venkataraman. Graph decomposition and the Greedy algorithm for edge-disjoint paths. Proceedings of SODA, pages 379-380, 2004.
    • (2004) Proceedings of SODA , pp. 379-380
    • Varadarajan, K.1    Venkataraman, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.