메뉴 건너뛰기




Volumn 25, Issue 1, 2013, Pages 56-71

Static network reliability estimation via generalized splitting

Author keywords

Conditional Monte Carlo; Generalized splitting; Gibbs sampling; Graph connectivity; Network reliability; Permutation Monte Carlo; Rare event simulation

Indexed keywords

GENERALIZED SPLITTING; GIBBS SAMPLING; GRAPH CONNECTIVITY; MONTE CARLO; NETWORK RELIABILITY; RARE EVENT SIMULATION;

EID: 84877955905     PISSN: 10919856     EISSN: 15265528     Source Type: Journal    
DOI: 10.1287/ijoc.1110.0493     Document Type: Article
Times cited : (60)

References (42)
  • 1
    • 0041776238 scopus 로고
    • Bounds on the reliability polynomial for shellable independence systems
    • Ball, M. O., J. S. Provan. 1982. Bounds on the reliability polynomial for shellable independence systems. SIAM J. Algebraic Discrete Methods 3 166-181.
    • (1982) SIAM J. Algebraic Discrete Methods , vol.3 , pp. 166-181
    • Ball, M.O.1    Provan, J.S.2
  • 2
    • 0000641118 scopus 로고
    • Bounds for distribution with monotone hazard rate, i and II
    • Barlow, R., A. Marshall. 1964. Bounds for distribution with monotone hazard rate, I and II. Ann. Math. Statist. 35 1234-1274.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 1234-1274
    • Barlow, R.1    Marshall, A.2
  • 4
    • 84855780715 scopus 로고    scopus 로고
    • Efficient Monte Carlo simulation via the generalized splitting method
    • Botev, Z. I., D. P. Kroese. 2010. Efficient Monte Carlo simulation via the generalized splitting method. Statist. Comput. 12 1-16.
    • (2010) Statist. Comput. , vol.12 , pp. 1-16
    • Botev, Z.I.1    Kroese, D.P.2
  • 5
    • 17444409408 scopus 로고
    • Asymptotic estimates of the reliability of a complex system
    • Burtin, Y., B. Pittel. 1972. Asymptotic estimates of the reliability of a complex system. Engrg. Cybernetics 10 445-451.
    • (1972) Engrg. Cybernetics , vol.10 , pp. 445-451
    • Burtin, Y.1    Pittel, B.2
  • 6
    • 0042173136 scopus 로고    scopus 로고
    • On the RVR simulation algorithm for network reliability evaluation
    • Cancela, H., M. El Khadiri. 2003. On the RVR simulation algorithm for network reliability evaluation. IEEE Trans. Reliability 52 207-212.
    • (2003) IEEE Trans. Reliability , vol.52 , pp. 207-212
    • Cancela, H.1    El Khadiri, M.2
  • 7
    • 79951598110 scopus 로고    scopus 로고
    • Rare event analysis by Monte Carlo techniques in static models
    • G. Rubino, B. Tuffin, eds., Chapter 7. John Wiley & Sons, Chichester
    • Cancela, H., M. El Khadiri, G. Rubino. 2009a. Rare event analysis by Monte Carlo techniques in static models. G. Rubino, B. Tuffin, eds., Rare Event Simulation Using Monte Carlo Methods, Chapter 7. John Wiley & Sons, Chichester, 145-170.
    • (2009) Rare Event Simulation Using Monte Carlo Methods , pp. 145-170
    • Cancela, H.1    El Khadiri, M.2    Rubino, G.3
  • 8
    • 79951593207 scopus 로고    scopus 로고
    • Analysis and improvements of path-based methods for Monte Carlo reliability evaluation of static models
    • J. Faulin, A. A. Juan, S. Martorell, E. Ramirez-Marquez, eds. Springer Verlag, London
    • Cancela, H., P. L'Ecuyer, M. Lee, G. Rubino, B. Tuffin. 2009b. Analysis and improvements of path-based methods for Monte Carlo reliability evaluation of static models. J. Faulin, A. A. Juan, S. Martorell, E. Ramirez-Marquez, eds. Simulation Methods for Reliability and Availability of Complex Systems. Springer Verlag, London, 65-84.
    • (2009) Simulation Methods for Reliability and Availability of Complex Systems , pp. 65-84
    • Cancela, H.1    L'Ecuyer, P.2    Lee, M.3    Rubino, G.4    Tuffin, B.5
  • 9
    • 79951611072 scopus 로고    scopus 로고
    • Combination of conditional Monte Carlo and approximate zero-variance importance sampling for network reliability estimation
    • B. Johansson, S. Jain, J. Montoya-Torres, J. Hugan, E. Yücesan, eds., Baltimore, MD
    • Cancela, H., P. L'Ecuyer, G. Rubino, B. Tuffin. 2010. Combination of conditional Monte Carlo and approximate zero-variance importance sampling for network reliability estimation. B. Johansson, S. Jain, J. Montoya-Torres, J. Hugan, E. Yücesan, eds. Proc. 2010 Winter Simulation Conf., Baltimore, MD, 1263-1274.
    • (2010) Proc. 2010 Winter Simulation Conf. , pp. 1263-1274
    • Cancela, H.1    L'Ecuyer, P.2    Rubino, G.3    Tuffin, B.4
  • 12
    • 0026370202 scopus 로고
    • Estimation of network reliability using graph evolution models
    • Elperin, T., I. B. Gertsbakh, M. Lomonosov. 1991. Estimation of network reliability using graph evolution models. IEEE Trans. Reliability 40 572-581.
    • (1991) IEEE Trans. Reliability , vol.40 , pp. 572-581
    • Elperin, T.1    Gertsbakh, I.B.2    Lomonosov, M.3
  • 13
    • 84976084913 scopus 로고
    • An evolution model for Monte Carlo estimation of equilibrium network renewal parameters
    • Elperin, T., I. B. Gertsbakh, M. Lomonosov. 1992. An evolution model for Monte Carlo estimation of equilibrium network renewal parameters. Probab. Engrg. Informational Sci. 6 457-469.
    • (1992) Probab. Engrg. Informational Sci. , vol.6 , pp. 457-469
    • Elperin, T.1    Gertsbakh, I.B.2    Lomonosov, M.3
  • 15
    • 0001382704 scopus 로고
    • Association of random variables, with applications
    • Esary, J. D., F. Proschan, D. W. Walkup. 1967. Association of random variables, with applications. Ann. Math. Statist. 38 1466-1473.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1466-1473
    • Esary, J.D.1    Proschan, F.2    Walkup, D.W.3
  • 16
    • 0022745801 scopus 로고
    • A Monte Carlo sampling plan for estimating network reliability
    • Fishman, G. S. 1986. A Monte Carlo sampling plan for estimating network reliability. Oper. Res. 34 581-594.
    • (1986) Oper. Res. , vol.34 , pp. 581-594
    • Fishman, G.S.1
  • 19
  • 20
    • 71549130729 scopus 로고    scopus 로고
    • The scaling and squaring method for the matrix exponential revisited
    • Higham, N. J. 2009. The scaling and squaring method for the matrix exponential revisited. SIAM Rev. 51 747-764.
    • (2009) SIAM Rev. , vol.51 , pp. 747-764
    • Higham, N.J.1
  • 21
    • 17444417821 scopus 로고    scopus 로고
    • The cross-entropy method for network reliability estimation
    • DOI 10.1007/s10479-005-5726-x
    • Hui, K.-P., N. Bean, M. Kraetzl, D. Kroese. 2005. The cross-entropy method for network reliability estimation. Ann. Oper. Res. 134 101-118. (Pubitemid 40550041)
    • (2005) Annals of Operations Research , vol.134 , Issue.1 , pp. 101-118
    • Hui, K.-P.1    Bean, N.2    Kraetzl, M.3    Kroese, D.P.4
  • 23
    • 68949166208 scopus 로고    scopus 로고
    • A Markovian dependability model with cascading failures
    • Iyer, S. M., M. V. Nakayama, A. V. Gerbessiotis. 2009. A Markovian dependability model with cascading failures. IEEE Trans. Comput. 58 1238-1249.
    • (2009) IEEE Trans. Comput. , vol.58 , pp. 1238-1249
    • Iyer, S.M.1    Nakayama, M.V.2    Gerbessiotis, A.V.3
  • 26
    • 34248974445 scopus 로고
    • Ordinal measures of association
    • Kruskal, W. 1958. Ordinal measures of association. J. Amer. Statist. Assoc. 53 814-861.
    • (1958) J. Amer. Statist. Assoc. , vol.53 , pp. 814-861
    • Kruskal, W.1
  • 31
    • 80052398932 scopus 로고    scopus 로고
    • Approximate zero-variance importance sampling for static network reliability estimation
    • L'Ecuyer, P., G. Rubino, S. Saggadi, B. Tuffin. 2011. Approximate zero-variance importance sampling for static network reliability estimation. IEEE Trans. Reliability 8 590-604.
    • (2011) IEEE Trans. Reliability , vol.8 , pp. 590-604
    • L'Ecuyer, P.1    Rubino, G.2    Saggadi, S.3    Tuffin, B.4
  • 33
    • 84972014744 scopus 로고
    • On Monte Carlo estimates in network reliability
    • Lomonosov, M. 1994. On Monte Carlo estimates in network reliability. Probab. Engrg. Informational Sci. 8 245-264.
    • (1994) Probab. Engrg. Informational Sci. , vol.8 , pp. 245-264
    • Lomonosov, M.1
  • 35
    • 0035265870 scopus 로고    scopus 로고
    • Fishman's sampling plan for computing network reliability
    • DOI 10.1109/24.935016, PII S0018952901068026
    • Manzi, E., M. Labbé, G. Latouche, F. Maffioli. 2001. Fishman's sampling plan for computing network reliability. IEEE Trans. Reliability 50 41-46. (Pubitemid 32736745)
    • (2001) IEEE Transactions on Reliability , vol.50 , Issue.1 , pp. 41-46
    • Manzi, E.1    Labbe, M.2    Latouche, G.3    Maffioli, F.4
  • 40
    • 0021517318 scopus 로고
    • Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions
    • Smith, R. L. 1984. Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions. Oper. Res. 32 1296-1308.
    • (1984) Oper. Res. , vol.32 , pp. 1296-1308
    • Smith, R.L.1
  • 41
    • 21144444475 scopus 로고    scopus 로고
    • Implementations and Experimental Studies of Dynamic Graph Algorithms
    • Zaroliagis, C. 2002. Implementations and experimental studies of dynamic graph algorithms. R. Fleischer, B. M. E. Moret, E. M. Schmidt, eds. Experimental Algorithms, Lecture Notes in Computer Science, Vol. 2547, Chap. 11. Springer, Berlin, Heidelberg, 229-278. (Pubitemid 36136930)
    • (2002) LECTURE NOTES IN COMPUTER SCIENCE , Issue.2547 , pp. 229-278
    • Zaroliagis, C.D.1
  • 42
    • 79959638529 scopus 로고    scopus 로고
    • High-confidence estimation of small s-t reliabilities in acyclic networks
    • Zenklusen, R., M. Laumanns. 2011. High-confidence estimation of small s-t reliabilities in acyclic networks. Networks 57 376-388.
    • (2011) Networks , vol.57 , pp. 376-388
    • Zenklusen, R.1    Laumanns, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.