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Volumn 84, Issue 2, 2004, Pages 187-196

A multiple system governed by a quasi-birth-and-death process

Author keywords

Availability; Phase type distribution; Quasi birth and death process; Rate of occurrence of failures; Reliability

Indexed keywords

APPROXIMATION THEORY; MAINTENANCE; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY; REPAIR;

EID: 2142656391     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2003.10.003     Document Type: Article
Times cited : (34)

References (27)
  • 3
    • 0036604002 scopus 로고    scopus 로고
    • Simulation modelling of repairable multi-component deteriorating systems for on-condition maintenance optimisation
    • Barata J., Guedes Soares C., Marseguerra M., Zio E. Simulation modelling of repairable multi-component deteriorating systems for on-condition maintenance optimisation. Reliab Engng Syst Safety. 76:2002;255-267.
    • (2002) Reliab Engng Syst Safety , vol.76 , pp. 255-267
    • Barata, J.1    Guedes Soares, C.2    Marseguerra, M.3    Zio, E.4
  • 4
    • 0020843146 scopus 로고
    • Mathematical problems in queueing and reliability theory
    • Belyayev Y.K., Gnedenko B.V., Ushakov I.A. Mathematical problems in queueing and reliability theory. Engng Cybernetics. 21:(6):1984;62-69.
    • (1984) Engng Cybernetics , vol.21 , Issue.6 , pp. 62-69
    • Belyayev, Y.K.1    Gnedenko, B.V.2    Ushakov, I.A.3
  • 6
    • 0041638105 scopus 로고
    • Reliability analysis of a parallel system with exponential life times and phase type repairs
    • Chakravarthy S. Reliability analysis of a parallel system with exponential life times and phase type repairs. OR Spektrum. 5:1983;25-32.
    • (1983) OR Spektrum , vol.5 , pp. 25-32
    • Chakravarthy, S.1
  • 7
    • 0033348435 scopus 로고    scopus 로고
    • A study of n-unit system operating in a random environment
    • Chandrasekhar P., Natarajan R. A study of n-unit system operating in a random environment. Eur J Oper Res. 66:1999;223-226.
    • (1999) Eur J Oper Res , vol.66 , pp. 223-226
    • Chandrasekhar, P.1    Natarajan, R.2
  • 8
    • 0030106093 scopus 로고
    • Applications of maintenance optimization models: A review and analysis
    • Dekker R. Applications of maintenance optimization models: a review and analysis. Reliab Engng Syst Safety. 51:1966;229-240.
    • (1966) Reliab Engng Syst Safety , vol.51 , pp. 229-240
    • Dekker, R.1
  • 9
    • 2142684058 scopus 로고
    • Utilization of the method of linear matrix equations to solve a quasi-birth-and-death problem
    • Feldman R.M., Deuermeyer B.L., Valdez-Flores C. Utilization of the method of linear matrix equations to solve a quasi-birth-and-death problem. J Appl Prob. 30:1993;639-649.
    • (1993) J Appl Prob , vol.30 , pp. 639-649
    • Feldman, R.M.1    Deuermeyer, B.L.2    Valdez-Flores, C.3
  • 14
    • 21344482962 scopus 로고
    • Algorithmic reduction for quasi-birth-death processes
    • Latouche G., Ramaswami V. Algorithmic reduction for quasi-birth-death processes. J Appl Prob. 30:1993;650-674.
    • (1993) J Appl Prob , vol.30 , pp. 650-674
    • Latouche, G.1    Ramaswami, V.2
  • 16
    • 0034197610 scopus 로고    scopus 로고
    • Analysis of system reliability with dependent repair models
    • Lim T.J., Chang H.K. Analysis of system reliability with dependent repair models. IEEE Trans Reliab. 49:(2):2000;153-162.
    • (2000) IEEE Trans Reliab , vol.49 , Issue.2 , pp. 153-162
    • Lim, T.J.1    Chang, H.K.2
  • 17
    • 0009948677 scopus 로고    scopus 로고
    • Matrix-multiplicative approach to quasi-birth-and-death processes analysis
    • S.R. Chakaravarty, & A.S. Alfa. New York: Marcel Dekker
    • Naoumov V. Matrix-multiplicative approach to quasi-birth-and-death processes analysis. Chakaravarty S.R., Alfa A.S. Matrix-analytic methods in stochastic models. 1997;87-106 Marcel Dekker, New York.
    • (1997) Matrix-analytic Methods in Stochastic Models , pp. 87-106
    • Naoumov, V.1
  • 18
    • 0142177947 scopus 로고
    • Matrix geometric solutions in stochastic models
    • Baltimore: John Hopkins, University Press
    • Neuts M.F. Matrix geometric solutions in stochastic models. An algorithmic approach. 1981;John Hopkins, University Press, Baltimore.
    • (1981) An Algorithmic Approach
    • Neuts, M.F.1
  • 19
    • 0012374690 scopus 로고
    • On the use of phase type distribution in reliability modelling of systems with two components
    • Neuts M.F., Meier K.S. On the use of phase type distribution in reliability modelling of systems with two components. OR Spektrum. 2:1981;227-234.
    • (1981) OR Spektrum , vol.2 , pp. 227-234
    • Neuts, M.F.1    Meier, K.S.2
  • 20
    • 0343391147 scopus 로고    scopus 로고
    • Repairable models with operating and repair times governed by phase type distributions
    • Neuts M.F., Pérez-Ocón R., Torres-Castro I. Repairable models with operating and repair times governed by phase type distributions. Adv Appl Prob. 32:2000;468-479.
    • (2000) Adv Appl Prob , vol.32 , pp. 468-479
    • Neuts, M.F.1    Pérez-Ocón, R.2    Torres-Castro, I.3
  • 23
    • 0031166049 scopus 로고    scopus 로고
    • Preventive maintenance in a 1 out of n system: The uptime, downtime and costs
    • Smith M.A.J., Dekker R. Preventive maintenance in a 1 out of n system: the uptime, downtime and costs. Eur J Oper Res. 99:1997;565-583.
    • (1997) Eur J Oper Res , vol.99 , pp. 565-583
    • Smith, M.A.J.1    Dekker, R.2
  • 25
    • 2142852563 scopus 로고    scopus 로고
    • Reliability: Past, present, future
    • (Bordeaux, 2000), Stat. Ind. Technol., Birkhäuser Boston, Boston, MA
    • Ushakov, Igor. Reliability: past, present, future, in Recent advances in reliability theory, (Bordeaux, 2000), 3-21, Stat. Ind. Technol., Birkhäuser Boston, Boston, MA; 2000.
    • (2000) Recent Advances in Reliability Theory , pp. 3-21
    • Ushakov, I.1
  • 26
    • 0030784338 scopus 로고    scopus 로고
    • Optimal inspection and replacement policies of multistate deteriorating systems
    • Yeh R.H. Optimal inspection and replacement policies of multistate deteriorating systems. Eur J Oper Res. 96:1996;248-259.
    • (1996) Eur J Oper Res , vol.96 , pp. 248-259
    • Yeh, R.H.1
  • 27
    • 0031249471 scopus 로고    scopus 로고
    • State-age-dependent maintenance policies for deteriorating systems with Erland sojourn time distributions
    • Yeh R.H. State-age-dependent maintenance policies for deteriorating systems with Erland sojourn time distributions. Reliab Engng Syst Safety. 58:1997;55-60.
    • (1997) Reliab Engng Syst Safety , vol.58 , pp. 55-60
    • Yeh, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.