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Volumn 63, Issue 1, 1999, Pages 1-11

Reduction of the Markovian system by the influence graph method: Error bound and reliability computation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; AVAILABILITY; ERROR ANALYSIS; GRAPH THEORY; MARKOV PROCESSES;

EID: 0032710958     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0951-8320(97)00100-2     Document Type: Article
Times cited : (3)

References (16)
  • 1
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    • A methodology for the specification and generation of Markov models
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    • Berson S, De Souza, Silva E, Muntz RR. A methodology for the specification and generation of Markov models. In: Numerical solution of markov chains. New York: Dekker, 1991:11-36.
    • (1991) Numerical Solution of Markov Chains , pp. 11-36
    • Berson, S.1    De Souza2    Silva, E.3    Muntz, R.R.4
  • 3
    • 84976753721 scopus 로고
    • A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems
    • Marsan MA, Conte G, Balbo G A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems. ACM Transactions on Computer Systems, 1984;2(2):93-122.
    • (1984) ACM Transactions on Computer Systems , vol.2 , Issue.2 , pp. 93-122
    • Marsan, M.A.1    Conte, G.2    Balbo, G.3
  • 4
    • 0024091438 scopus 로고
    • Combining queueing networks and generalized stochastic Petri nets for the solution of complex models of system behavior
    • Balbo G, Bruell AC, Ghanta S Combining queueing networks and generalized stochastic Petri nets for the solution of complex models of system behavior. IEEE Transactions on Computers, 1988;37(10): 1251-1268.
    • (1988) IEEE Transactions on Computers , vol.37 , Issue.10 , pp. 1251-1268
    • Balbo, G.1    Bruell, A.C.2    Ghanta, S.3
  • 5
    • 0028753038 scopus 로고
    • The use of the component influence graph to reduce the size of markovian availability problems
    • Devooght J, Tombuyses B The use of the component influence graph to reduce the size of markovian availability problems. Reliability Engineering and System Safety, 1994;46(3):237-244.
    • (1994) Reliability Engineering and System Safety , vol.46 , Issue.3 , pp. 237-244
    • Devooght, J.1    Tombuyses, B.2
  • 7
    • 0029735895 scopus 로고    scopus 로고
    • Aggregation methods for reliability and availability calculations
    • Devooght J, Tombuyses B Aggregation methods for reliability and availability calculations. Reliability Engineering and System Safety, 1996;51(1):23-34.
    • (1996) Reliability Engineering and System Safety , vol.51 , Issue.1 , pp. 23-34
    • Devooght, J.1    Tombuyses, B.2
  • 9
    • 0016567489 scopus 로고
    • On logarithmic norms
    • Ström T On logarithmic norms. SIAM J Numer Anal, 1975;12(5):741-753.
    • (1975) SIAM J Numer Anal , vol.12 , Issue.5 , pp. 741-753
    • Ström, T.1
  • 13
    • 0031062137 scopus 로고    scopus 로고
    • Dependability modelling and evaluation by using stochastic Petri nets: Application to two test cases
    • Dutuit Y, Chatêlet E, Signoret J-P, Thomas P Dependability modelling and evaluation by using stochastic Petri nets: Application to two test cases. Reliability Engineering and System Safety, 1997;55(2): 117-124.
    • (1997) Reliability Engineering and System Safety , vol.55 , Issue.2 , pp. 117-124
    • Dutuit, Y.1    Chatêlet, E.2    Signoret, J.-P.3    Thomas, P.4
  • 15
    • 0002648828 scopus 로고
    • Bounds and perturbation bounds for the matrix exponential
    • Kagström B. Bounds and perturbation bounds for the matrix exponential. BIT 1977;17:39-57.
    • (1977) BIT , vol.17 , pp. 39-57
    • Kagström, B.1
  • 16
    • 0023589040 scopus 로고
    • A bound of the reliability perturbations for markovian analysis under uncertainty
    • Dengis D, Devooght J A bound of the reliability perturbations for markovian analysis under uncertainty. Ann Nucl Energy, 1987; 14(9):505-510.
    • (1987) Ann Nucl Energy , vol.14 , Issue.9 , pp. 505-510
    • Dengis, D.1    Devooght, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.