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Volumn 62, Issue 4, 2013, Pages 917-929

Network reliability modeling under stochastic process of component failures

Author keywords

D spectrum; Increasing failure rate; Nonhomogeneous Poisson process; Record values; Stochastic ordering; Stochastic precedence; System signature; Two state networks.

Indexed keywords

D-SPECTRUM; INCREASING FAILURE RATE; NON-HOMOGENEOUS POISSON PROCESS; RECORD VALUES; STOCHASTIC ORDER; STOCHASTIC PRECEDENCE; SYSTEM SIGNATURE; TWO-STATE;

EID: 84890438155     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2013.2285054     Document Type: Article
Times cited : (42)

References (47)
  • 1
    • 0024174186 scopus 로고
    • Simple enumeration of minimal cutsets of acyclic directed graph
    • Se
    • S. H. Ahmad, "Simple enumeration of minimal cutsets of acyclic directed graph, " IEEE Trans. Rel., vol. R-27, no. 5, pp. 484-487, Sep. 1988.
    • (1988) IEEE Trans. Rel , vol.27 , Issue.5 , pp. 484-487
    • Ahmad, S.H.1
  • 3
    • 0010932934 scopus 로고
    • Nonstationary shock models
    • M. S. A-Hameed and F. Proschan, "Nonstationary shock models, " Stoch. Proc. Appl., vol. 1, pp. 383-404, 1973.
    • (1973) Stoch. Proc. Appl , vol.1 , pp. 383-404
    • A-Hameed, M.S.1    Proschan, F.2
  • 4
    • 84858153201 scopus 로고    scopus 로고
    • A proposed measure of residual life of live components of a coherent system
    • Mar
    • N. Balakrishnan and M. Asadi, "A proposed measure of residual life of live components of a coherent system, " IEEE Trans. Rel., vol. 61, no. 1, pp. 41-49, Mar. 2012.
    • (2012) IEEE Trans. Rel , vol.61 , Issue.1 , pp. 41-49
    • Balakrishnan, N.1    Asadi, M.2
  • 7
    • 84877955905 scopus 로고    scopus 로고
    • Static network reliability estimation via generalized splitting
    • Z. I. Botev, P. L'Ecuyer, G. Rubino, R. Simard, and B. Tuffin, "Static network reliability estimation via generalized splitting, " INFORMS J. Comput., vol. 25, no. 1, pp. 56-71, 2013.
    • (2013) INFORMS J. Comput , vol.25 , Issue.1 , pp. 56-71
    • Botev, Z.I.1    L'Ecuyer, P.2    Rubino, G.3    Simard, R.4    Tuffin, B.5
  • 8
    • 0344666700 scopus 로고    scopus 로고
    • A cut-based algorithm for reliability analysis of terminal-pair network using OBDD
    • Y. R. Chang, H. Y. Lin, and S. Y. Kuo, "A cut-based algorithm for reliability analysis of terminal-pair network using OBDD, " in Proc. 27th Annu. Int. COMPSAC, Dallas, TX, 2003, p. 368.
    • (2003) Proc. 27th Annu. Int. COMPSAC, Dallas, TX , pp. 368
    • Chang, Y.R.1    Lin, H.Y.2    Kuo, S.Y.3
  • 10
    • 0000336139 scopus 로고
    • Regression models and life-tables
    • D. R. Cox, "Regression models and life-tables, " J. R. Stat. Soc., Series B (Methodological), vol. 34, no. 2, pp. 187-220, 1972.
    • (1972) J. R. Stat Soc., Series B (Methodological) , vol.34 , Issue.2 , pp. 187-220
    • Cox, D.R.1
  • 11
    • 0033236709 scopus 로고    scopus 로고
    • Stochastic properties of a cumulative damage threshold crossing model
    • N. Ebrahimi, "Stochastic properties of a cumulative damage threshold crossing model, " J. Appl. Prob., vol. 36, no. 3, pp. 720-732, 1999.
    • (1999) J. Appl. Prob , vol.36 , Issue.3 , pp. 720-732
    • Ebrahimi, N.1
  • 12
    • 34047098368 scopus 로고    scopus 로고
    • On the lifetime distribution of consecutive k-out-of-n : F system
    • DOI 10.1109/TR.2006.890902
    • S. Eryilmaz, "On the lifetime distribution of consecutive -out-of- : system, " IEEE Trans. Rel., vol. 56, no. 1, pp. 35-39, Mar. 2007. (Pubitemid 46523093)
    • (2007) IEEE Transactions on Reliability , vol.56 , Issue.1 , pp. 35-39
    • Eryilmaz, S.1
  • 13
    • 77949273841 scopus 로고    scopus 로고
    • Conditional lifetimes of consecutive -out-of- systems
    • Mar
    • S. Eryilmaz, "Conditional lifetimes of consecutive -out-of- systems, " IEEE Trans. Rel., vol. 59, no. 1, pp. 178-182, Mar. 2010.
    • (2010) IEEE Trans. Rel , vol.59 , Issue.1 , pp. 178-182
    • Eryilmaz, S.1
  • 14
    • 84858153218 scopus 로고    scopus 로고
    • The number of failed components in a coherent system with exchangeable components
    • Mar
    • S. Eryilmaz, "The number of failed components in a coherent system with exchangeable components, " IEEE Trans. Rel., vol. 61, no. 1, pp. 203-207, Mar. 2012.
    • (2012) IEEE Trans. Rel , vol.61 , Issue.1 , pp. 203-207
    • Eryilmaz, S.1
  • 15
    • 84865721087 scopus 로고    scopus 로고
    • Linear -consecutive-, -out-of-: System
    • Se
    • S. Eryilmaz and B. Mahmoud, "Linear -consecutive-, -out-of- : system, " IEEE Trans. Rel., vol. 61, no. 3, pp. 787-791, Sep. 2012.
    • (2012) IEEE Trans. Rel , vol.61 , Issue.3 , pp. 787-791
    • Eryilmaz, S.1    Mahmoud, B.2
  • 16
    • 77956342505 scopus 로고    scopus 로고
    • Computing and applying the signature of a system with two common failure criteria
    • Se
    • S. Eryilmaz and M. J. Zuo, "Computing and applying the signature of a system with two common failure criteria, " IEEE Trans. Rel., vol. 59, no. 3, pp. 576-580, Sep. 2010.
    • (2010) IEEE Trans. Rel , vol.59 , Issue.3 , pp. 576-580
    • Eryilmaz, S.1    Zuo, M.J.2
  • 17
    • 80052398932 scopus 로고    scopus 로고
    • Approximate zero-variance importance sampling for static network reliability estimation
    • Se
    • P. L'Ecuyer, G. Rubino, S. Saggadi, and B. Tuffin, "Approximate zero-variance importance sampling for static network reliability estimation, " IEEE Trans. Rel., vol. 60, no. 3, pp. 590-604, Sep. 2011.
    • (2011) IEEE Trans. Rel , vol.60 , Issue.3 , pp. 590-604
    • L'Ecuyer, P.1    Rubino, G.2    Saggadi, S.3    Tuffin, B.4
  • 20
    • 84974313420 scopus 로고
    • Closure and monotonicity properties of nonhomogeneous Poisson processes and record values
    • R. C. Gupta and S. N. U. A. Kirmani, "Closure and monotonicity properties of nonhomogeneous Poisson processes and record values, " Prob Eng. Inf. Sci., vol. 2, pp. 475-484, 1988.
    • (1988) Prob Eng. Inf. Sci , vol.2 , pp. 475-484
    • Gupta, R.C.1    Kirmani, S.N.U.A.2
  • 21
    • 34548614781 scopus 로고    scopus 로고
    • K-terminal network reliability measures wth binary decision diagrams
    • DOI 10.1109/TR.2007.898572
    • G. Hardy, C. Lucet, and N. Limnios, " -terminal network reliability measures with binary decision diagrams, " IEEE Trans. Rel., vol. 56, no. 3, pp. 506-515, Sep. 2007. (Pubitemid 47399758)
    • (2007) IEEE Transactions on Reliability , vol.56 , Issue.3 , pp. 506-515
    • Hardy, G.1    Lucet, C.2    Limnios, N.3
  • 22
    • 33646098092 scopus 로고
    • SYREL: A symbolic reliability algorithm based on path and cutset methods
    • Oct
    • S. Hariri and C. S. Raghavendra, "SYREL: A symbolic reliability algorithm based on path and cutset methods, " IEEE Trans. Comput., vol. C-36, no. 10, pp. 1224-1232, Oct. 1987.
    • (1987) IEEE Trans. Comput , vol.36 , Issue.10 , pp. 1224-1232
    • Hariri, S.1    Raghavendra, C.S.2
  • 23
    • 0032653286 scopus 로고    scopus 로고
    • Computational investigations of allterminal network reliability via BDDs
    • H. Imai, K. Sekine, and K. Imai, "Computational investigations of allterminal network reliability via BDDs, " IEICE Trans. Fundamentals, vol. E82-A, no. 5, pp. 714-721, 1999.
    • (1999) IEICE Trans. Fundamentals , vol.E82-A , Issue.5 , pp. 714-721
    • Imai, H.1    Sekine, K.2    Imai, K.3
  • 24
    • 0010056619 scopus 로고    scopus 로고
    • The "Signature" of a Coherent System and Its Application to Comparisons among Systems
    • K. Kochar, H. Mukerjee, and F. J. Samaniego, "The 'signature' of a coherent system and its application to comparisons among systems, " Nav. Res. Logist., vol. 46, pp. 507-523, 1999. (Pubitemid 129584918)
    • (1999) Naval Research Logistics , vol.46 , Issue.5 , pp. 507-523
    • Kochar, S.1    Mukerjee, H.2    Samaniego, F.J.3
  • 25
    • 0000483766 scopus 로고    scopus 로고
    • Determining terminal-pair reliability based on edge expansion diagrams using OBDD
    • Se
    • S. Kuo, S. Lu, and F. Yeh, "Determining terminal-pair reliability based on edge expansion diagrams using OBDD, " IEEE Trans. Rel., vol. 48, no. 3, pp. 234-246, Sep. 1999.
    • (1999) IEEE Trans. Rel , vol.48 , Issue.3 , pp. 234-246
    • Kuo, S.1    Lu, S.2    Yeh, F.3
  • 26
    • 79251631054 scopus 로고    scopus 로고
    • Evaluating the damage associated with intentional network disintegration
    • G. Levitin, I. Gertsbakh, and Y. Shpungin, "Evaluating the damage associated with intentional network disintegration, " Rel. Eng. Syst. Safety, vol. 96, pp. 433-439, 2011.
    • (2011) Rel. Eng. Syst. Safety , vol.96 , pp. 433-439
    • Levitin, G.1    Gertsbakh, I.2    Shpungin, Y.3
  • 27
    • 34548654599 scopus 로고
    • A minimizing algorithm for sum of disjoint products
    • Jul
    • M. O. Locks, "A minimizing algorithm for sum of disjoint products, " IEEE Trans. Rel., vol. R-36, no. 4, pp. 436-445, Jul. 1987.
    • (1987) IEEE Trans. Rel , vol.36 , Issue.4 , pp. 436-445
    • Locks, M.O.1
  • 28
    • 0033196171 scopus 로고    scopus 로고
    • Optimal active redundancy allocation in -out-of- system
    • J. Mi, "Optimal active redundancy allocation in -out-of- system, " J. Appl. Prob., vol. 36, pp. 927-933, 1999.
    • (1999) J. Appl. Prob , vol.36 , pp. 927-933
    • Mi, J.1
  • 31
    • 58449097545 scopus 로고    scopus 로고
    • Mixture reptesentations of residual lifetimes of used systems
    • J. Navarro, N. Balakrishnan, and F. J. Samaniego, "Mixture reptesentations of residual lifetimes of used systems, " J. Appl. Prob., vol. 45, pp. 1097-1112, 2008.
    • (2008) J. Appl. Prob , vol.45 , pp. 1097-1112
    • Navarro, J.1    Balakrishnan, N.2    Samaniego, F.J.3
  • 32
    • 79951867188 scopus 로고    scopus 로고
    • Coherent systems based on sequential order statistics
    • J. Navarro and M. Burkschat, "Coherent systems based on sequential order statistics, " Nav. Res. Logist., vol. 58, no. 2, pp. 123-135, 2011.
    • (2011) Nav. Res. Logist , vol.58 , Issue.2 , pp. 123-135
    • Navarro, J.1    Burkschat, M.2
  • 33
    • 78449253597 scopus 로고    scopus 로고
    • Comparisons of coherent systems using stochastic precedence
    • J. Navarro and R. Rubio, "Comparisons of coherent systems using stochastic precedence, " Test, vol. 19, pp. 469-486, 2010.
    • (2010) Test , vol.19 , pp. 469-486
    • Navarro, J.1    Rubio, R.2
  • 34
    • 0024054677 scopus 로고
    • A practical implementation of the factoring theoremfor network reliability
    • L. B. Page and J. E. Perry, "A practical implementation of the factoring theoremfor network reliability, " IEEE Trans. Reliab., vol. 37, no. 3, pp. 259-267, 1988.
    • (1988) IEEE Trans. Reliab , vol.37 , Issue.3 , pp. 259-267
    • Page, L.B.1    Perry, J.E.2
  • 35
    • 0001767296 scopus 로고
    • Partial orderings under cumulative damage shock models
    • F. Pellerey, "Partial orderings under cumulative damage shock models, " J. Appl. Prob., vol. 25, pp. 939-946, 1993.
    • (1993) J. Appl. Prob , vol.25 , pp. 939-946
    • Pellerey, F.1
  • 36
    • 84923922261 scopus 로고
    • On closure of the IFR class under formation of coherent systems
    • F. J. Samaniego, "On closure of the IFR class under formation of coherent systems, " IEEE Trans. Rel., vol. 34, pp. 69-72, 1985.
    • (1985) IEEE Trans. Rel , vol.34 , pp. 69-72
    • Samaniego, F.J.1
  • 38
    • 0020545560 scopus 로고
    • Network reliability and the factoring theorem
    • A. Satyanarayana and M. K. Chang, "Network reliability and the factoring theorem, " Networks, vol. 13, pp. 107-120, 1983.
    • (1983) Networks , vol.13 , pp. 107-120
    • Satyanarayana, A.1    Chang, M.K.2
  • 40
    • 84952012943 scopus 로고    scopus 로고
    • Signatures and symmetry properties of coherent systems
    • A. Lisnianski and I. Frenkel, Eds. London: Springer
    • F. Spizzichino and J. Navarro, "Signatures and symmetry properties of coherent systems, " in Recent Advances in System Reliability, A. Lisnianski and I. Frenkel, Eds. London: Springer, 2012, pp. 33-48.
    • (2012) Recent Advances in System Reliability , pp. 33-48
    • Spizzichino, F.1    Navarro, J.2
  • 41
    • 79952195670 scopus 로고    scopus 로고
    • Signature and IFR preservation of 2-within-consecutive -out-of-: Systems
    • I. S. Triantafyllou and V. K. Markos, "Signature and IFR preservation of 2-within-consecutive -out-of- : systems, " IEEE Trans. Reliab., vol. 60, no. 1, pp. 315-322, 2011.
    • (2011) IEEE Trans. Reliab , vol.60 , Issue.1 , pp. 315-322
    • Triantafyllou, I.S.1    Markos, V.K.2
  • 42
    • 0022075717 scopus 로고
    • Factoring algorithm using polygon-to-chain reductions for computing k-terminal network reliability
    • R. K. Wood, "A factoring algorithm using polygon-to-chain reductions for computing -terminal network reliability, " Networks, vol. 15, pp. 173-190, 1985. (Pubitemid 15544136)
    • (1985) Networks , vol.15 , Issue.2 , pp. 173-190
    • Wood R.Kevin1
  • 43
    • 54949136550 scopus 로고    scopus 로고
    • An efficient binary decision diagrams based approach for network reliability and sensitivity analysis
    • L. Xing, "An efficient binary decision diagrams based approach for network reliability and sensitivity analysis, " IEEE Trans. Systems, Man, and Cybernetics, Part A: Systems and Humans, vol. 38, no. 1, pp. 105-115, 2008.
    • (2008) IEEE Trans. Systems, Man, and Cybernetics Part A: Systems and Humans , vol.38 , Issue.1 , pp. 105-115
    • Xing, L.1
  • 44
    • 0036891352 scopus 로고    scopus 로고
    • OBDD-based evaluation of -terminal network reliability
    • F. M. Yeh, S. K. Lu, and S. Y. Kuo, "OBDD-based evaluation of -terminal network reliability, " IEEE Trans. Reliab., vol. 51, no. 4, pp. 443-451, 2002.
    • (2002) IEEE Trans. Reliab , vol.51 , Issue.4 , pp. 443-451
    • Yeh, F.M.1    Lu, S.K.2    Kuo, S.Y.3
  • 46
    • 78651494304 scopus 로고    scopus 로고
    • Evaluation of when both and are residual lifetimes of two systems
    • V. Zardasht and M. Asadi, "Evaluation of when both and are residual lifetimes of two systems, " Statistica Neerlandica, vol. 64, no. 4, pp. 460-481, 2010.
    • (2010) Statistica Neerlandica , vol.64 , Issue.4 , pp. 460-481
    • Zardasht, V.1    Asadi, M.2
  • 47
    • 78649793964 scopus 로고    scopus 로고
    • Some new results on stochastic orders and aging properties of coherent systems
    • Z. Zhang and X. Li, "Some new results on stochastic orders and aging properties of coherent systems, " IEEE Trans. Rel., vol. 59, no. 4, pp. 718-724, 2010.
    • (2010) IEEE Trans. Rel , vol.59 , Issue.4 , pp. 718-724
    • Zhang, Z.1    Li, X.2


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