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Volumn E82-A, Issue 5, 1999, Pages 714-721

Computational investigations of all-terminal network reliability via BDDs

Author keywords

pcomplete; BDD; Network reliability; Output size sensitive

Indexed keywords

ALGORITHMS; COMPUTER SCIENCE; GRAPH THEORY; POLYNOMIALS; PROBABILITY DENSITY FUNCTION;

EID: 0032653286     PISSN: 09168508     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (32)
  • 1
    • 84990630755 scopus 로고
    • Polynomial time randomized approximation schemes for Tutte-Grothendicck invariants: The dense case,"
    • N. Alon, A. Frieze, and D. Welsh, Polynomial time randomized approximation schemes for Tutte-Grothendicck invariants: The dense case," Random Structures Algorithms, vol.6, no.4, pp.459-478, 1995.
    • (1995) Random Structures Algorithms , vol.6 , Issue.4 , pp. 459-478
    • Alon, N.1    Frieze, A.2    Welsh, D.3
  • 3
    • 0020766597 scopus 로고
    • Calculating bounds on reachability and connectedness in stochastic networks,"
    • M.O. Ball and J.S. Provan, Calculating bounds on reachability and connectedness in stochastic networks," Networks, vol.13, pp.253-278, 1983.
    • (1983) Networks , vol.13 , pp. 253-278
    • Ball, M.O.1    Provan, J.S.2
  • 5
    • 0022769976 scopus 로고
    • Graph-based algorithms for Boolean function manipulation,"
    • R.E. Bryant, Graph-based algorithms for Boolean function manipulation," IEEE Trans. Comput., vol.C-35, pp.677-691, 1986.
    • (1986) IEEE Trans. Comput. , vol.35 , pp. 677-691
    • Bryant, R.E.1
  • 7
    • 0022745801 scopus 로고
    • A Monte Carlo sampling plan for estimating network reliability,"
    • G.S. Fishman, A Monte Carlo sampling plan for estimating network reliability," Operations Research, vol.34, no.4, pp.581-594, 1986.
    • (1986) Operations Research , vol.34 , Issue.4 , pp. 581-594
    • Fishman, G.S.1
  • 8
    • 84987041333 scopus 로고
    • A Monte Carlo sampling plan for estimating reliability parameters and related functions,"
    • G.S. Fishman, A Monte Carlo sampling plan for estimating reliability parameters and related functions," Networks, vol.17, pp.169-186, 1987.
    • (1987) Networks , vol.17 , pp. 169-186
    • Fishman, G.S.1
  • 10
    • 0028256711 scopus 로고
    • A factored reliability formula for directed source-to-allterminal networks,"
    • Y. Higashiyama, II. Ariyoshi, I. Shirakawa, and S. Ohba, A factored reliability formula for directed source-to-allterminal networks," IEICE Trans. Fundamentals, vol.E77A, no.l, pp.134-143, Jan. 1994.
    • (1994) IEICE Trans. Fundamentals , vol.VOL.E77A , pp. 134-143
    • Higashiyama, Y.1    Ariyoshi, I.I.2    Shirakawa, I.3    Ohba, S.4
  • 11
    • 33746384070 scopus 로고    scopus 로고
    • Network Reliablity Computation and Related Issues-New Trends in Combinatorial Enumeration/Counting,"
    • ed. S. Fujishige, Kindai-Kagaku-sha
    • H. Imai, Network Reliablity Computation and Related Issues-New Trends in Combinatorial Enumeration/Counting," in Discrete Structures and Algorithms V, ed. S. Fujishige, pp.1-50, Kindai-Kagaku-sha, 1998.
    • (1998) Discrete Structures and Algorithms v , pp. 1-50
    • Imai, H.1
  • 14
    • 0347729203 scopus 로고
    • Norms, rounding errors, partial derivatives and fast automatic differentiation,"
    • March
    • M. Iri and K. Kubota, Norms, rounding errors, partial derivatives and fast automatic differentiation," IEICE Trans. Fundamentals, vol.E74-A, no.3, pp.463-471, March 1991.
    • (1991) IEICE Trans. Fundamentals , vol.74 , Issue.3 , pp. 463-471
    • Iri, M.1    Kubota, K.2
  • 15
    • 0003027335 scopus 로고
    • A randomized fully polynomial time approximation scheme for the all terminal network reliability problem,"
    • D.R. Karger, A randomized fully polynomial time approximation scheme for the all terminal network reliability problem," Proc. 27th Annual ACM Symp. on Theory of Computing, pp.11-17, 1995.
    • (1995) Proc. 27th Annual ACM Symp. on Theory of Computing , pp. 11-17
    • Karger, D.R.1
  • 16
    • 0030823074 scopus 로고    scopus 로고
    • Implementing a fully polynomial time approximation scheme for all terminal network reliability,"
    • D. Karger and R.P. Tai, Implementing a fully polynomial time approximation scheme for all terminal network reliability," Proc. SIAM-ACM Symp. on Discrete Algorithms, pp.334-343, 1997.
    • (1997) Proc. SIAM-ACM Symp. on Discrete Algorithms , pp. 334-343
    • Karger, D.1    Tai, R.P.2
  • 17
    • 0003027047 scopus 로고
    • Monte-Carlo algorithms for the planar multiterminal network reliability problem,"
    • R.M. Karp and M. Luby, Monte-Carlo algorithms for the planar multiterminal network reliability problem," J. of Complexity, vol.1, pp.45-64, 1985.
    • (1985) J. of Complexity , vol.1 , pp. 45-64
    • Karp, R.M.1    Luby, M.2
  • 19
    • 84986927546 scopus 로고
    • Maximum flows in probabilistic networks,"
    • H. Nagamochi and T. Ibaraki, Maximum flows in probabilistic networks," Networks, vol.21, pp.645-666, 1991.
    • (1991) Networks , vol.21 , pp. 645-666
    • Nagamochi, H.1    Ibaraki, T.2
  • 20
    • 0026880865 scopus 로고
    • On Onaga's upper bound on the mean values of probabilistic maximum flows,"
    • H. Nagamochi and T. Ibaraki, On Onaga's upper bound on the mean values of probabilistic maximum flows," IEEE Trans. Reliability, vol.41, no.2, pp.225-229, 1992.
    • (1992) IEEE Trans. Reliability , vol.41 , Issue.2 , pp. 225-229
    • Nagamochi, H.1    Ibaraki, T.2
  • 21
    • 84986928064 scopus 로고
    • Combining Monte Carlo estimates and bounds for network reliability,"
    • L.D. Nel and C.J. Colbourn, Combining Monte Carlo estimates and bounds for network reliability," Networks, vol.20, pp.277-298, 1990.
    • (1990) Networks , vol.20 , pp. 277-298
    • Nel, L.D.1    Colbourn, C.J.2
  • 22
    • 0022769608 scopus 로고
    • The complexity of reliability computations in planar and acyclic graphs,"
    • J.S. Provan, The complexity of reliability computations in planar and acyclic graphs," SIAM J. Comput., vol.15, no.3, pp.694-702, 1986.
    • (1986) SIAM J. Comput. , vol.15 , Issue.3 , pp. 694-702
    • Provan, J.S.1
  • 23
    • 0023560289 scopus 로고
    • Counting almost minimum network cutsets with reliability applications,"
    • A. Ramanathan and C.J. Colbourn, Counting almost minimum network cutsets with reliability applications," Mathematical Programming, vol.39, pp.253-261, 1987.
    • (1987) Mathematical Programming , vol.39 , pp. 253-261
    • Ramanathan, A.1    Colbourn, C.J.2
  • 25
    • 0040940613 scopus 로고
    • A unified approach via BDD to the network reliability and path numbers,"
    • Department of Information Science, University of Tokyo
    • K. Sekine and H. Imai, A unified approach via BDD to the network reliability and path numbers," Tech. Rep. 95-09, Department of Information Science, University of Tokyo, 1995.
    • (1995) Tech. Rep. 95-09
    • Sekine, K.1    Imai, H.2
  • 26
    • 0031117195 scopus 로고    scopus 로고
    • Counting the number of paths in a graph via HDDs,"
    • K. Sekine and H. Imai, Counting the number of paths in a graph via HDDs," IEICE Trans. Fundamentals, vol.E80-A, no.4, pp.682-688, April 1997.
    • (1997) IEICE Trans. Fundamentals , vol.80 , Issue.4 , pp. 682-688
    • Sekine, K.1    Imai, H.2
  • 28
    • 33746407696 scopus 로고
    • Network Reliability and Algebraic Structures,"
    • D.R. Shier, Network Reliability and Algebraic Structures," Oxford University Press, 1991.
    • (1991) Oxford University Press
    • Shier, D.R.1
  • 30
    • 0002092950 scopus 로고
    • A contribution to the theory of chromatic polynomials,"
    • W.T. Tutte, A contribution to the theory of chromatic polynomials," Canadian J. Math., vol.6, pp.80-91, 1954.
    • (1954) Canadian J. Math. , vol.6 , pp. 80-91
    • Tutte, W.T.1
  • 31
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems,"
    • L.G. Valiant, The complexity of enumeration and reliability problems," SIAM J. Comput., vol.8, no.3, pp.410-421, 1979.
    • (1979) SIAM J. Comput. , vol.8 , Issue.3 , pp. 410-421
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.