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Volumn 74, Issue 1, 1998, Pages 37-52

Markov chains with marked transitions1

Author keywords

Counting process; Marked transitions; Markov chains; Markovian arrival process; Matrix analytic methods; Point processes

Indexed keywords


EID: 0040944371     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0304-4149(97)00109-9     Document Type: Article
Times cited : (108)

References (15)
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    • A central limit theorem for processes defined on a finite Markov chain
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    • (1964) Proc. Cambridge Philos. Soc. , vol.60 , pp. 547-567
    • Keilson, J.1    Wishart, D.M.G.2
  • 7
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    • New results on the single server queue with a batch Markovian arrival process
    • Lucantoni D.M. New results on the single server queue with a batch Markovian arrival process. Stochastic Models. 7:1991;1-46.
    • (1991) Stochastic Models , vol.7 , pp. 1-46
    • Lucantoni, D.M.1
  • 8
    • 0000799590 scopus 로고
    • A single server queue with server vacations and a class of non-renewal arrival processes
    • Lucantoni D.M., Meier-Hellstern K.S., Neuts M.F. A single server queue with server vacations and a class of non-renewal arrival processes. Adv. Appl. Probab. 22:1990;676-705.
    • (1990) Adv. Appl. Probab , vol.22 , pp. 676-705
    • Lucantoni, D.M.1    Meier-Hellstern, K.S.2    Neuts, M.F.3
  • 9
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    • The first two moment matrices of the counts for the Markovian arrival process
    • Narayana S., Neuts M.F. The first two moment matrices of the counts for the Markovian arrival process. Stochastic Models. 8:1992;459-478.
    • (1992) Stochastic Models , vol.8 , pp. 459-478
    • Narayana, S.1    Neuts, M.F.2
  • 10
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    • A versatile Markovian point process
    • Neuts M.F. A versatile Markovian point process. J. Appl. Probab. 16:1979;764-779.
    • (1979) J. Appl. Probab. , vol.16 , pp. 764-779
    • Neuts, M.F.1
  • 12
    • 0040980284 scopus 로고
    • The joint distribution of arrivals and departures in quasi-birth-and-death processes
    • In: Stewart, N.J. (Ed.), Marcel Dekker, New York
    • Neuts, M.F., 1991. The joint distribution of arrivals and departures in quasi-birth-and-death processes. In: Stewart, N.J. (Ed.), Numerical Solution of Markov Chains, Marcel Dekker, New York, pp. 147-159.
    • (1991) Numerical Solution of Markov Chains , pp. 147-159
    • Neuts, M.F.1
  • 13
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    • Burstiness of point processes
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    • Neuts, M.F.1
  • 14
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    • The superposition of two PH-renewal processes
    • In: J. Janssen (Ed.), Plenum Publishers, London
    • Neuts, M.F., Latouche, G., 1986. The superposition of two PH-renewal processes. In: J. Janssen (Ed.), Semi-Markov Models: Theory and Applications. Plenum Publishers, London, 131-77.
    • (1986) Semi-Markov Models: Theory and Applications , pp. 131-177
    • Neuts, M.F.1    Latouche, G.2
  • 15
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    • Performance evaluation and design of multiservice networks
    • (Ed.)
    • Roberts, J.W. (Ed.), 1991. Performance evaluation and design of multiservice networks. Cost 224 Final Report.
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    • Roberts, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.