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Volumn 82, Issue 1, 1999, Pages 127-142

Point processes with finite-dimensional conditional probabilities

Author keywords

60G55; 60J25; Markovian arrival process; Matrix exponential distribution; Palm theory; Rational Laplace transform; Semi group

Indexed keywords


EID: 0013069912     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00006-X     Document Type: Article
Times cited : (49)

References (24)
  • 2
    • 0001338883 scopus 로고    scopus 로고
    • Renewal theory and queueing algorithms for matrix-exponential distributions
    • In: Alfa, A.S., Chakravarty, S. (Eds.), Marcel Dekker, New York
    • Asmussen, S., Bladt, M., 1996. Renewal theory and queueing algorithms for matrix-exponential distributions. In: Alfa, A.S., Chakravarty, S. (Eds.), Matrix-Analytic Methods in Stochastic Models. Marcel Dekker, New York, pp. 313-341.
    • (1996) Matrix-Analytic Methods in Stochastic Models , pp. 313-341
    • Asmussen, S.1    Bladt, M.2
  • 3
    • 21144481911 scopus 로고
    • Marked point processes as limits of Markovian arrival streams
    • Asmussen S., Koole G. Marked point processes as limits of Markovian arrival streams. J. Appl. Probab. 30:1963;365-372.
    • (1963) J. Appl. Probab. , vol.30 , pp. 365-372
    • Asmussen, S.1    Koole, G.2
  • 4
    • 0012476574 scopus 로고    scopus 로고
    • Matrix-exponential distributions [Distributions with a rational Laplace transform]
    • In: [Kotz, S., Read, C.B., Banks, D.L. (Eds.), Wiley, New York
    • Asmussen, S., O'Cinneide, C.A., 1998. Matrix-exponential distributions [Distributions with a rational Laplace transform]. In: [Kotz, S., Read, C.B., Banks, D.L. (Eds.), Encyclopedia of Statistical Sciences, Supplementary Volume. Wiley, New York.
    • (1998) Encyclopedia of Statistical Sciences , vol.SUPPLEMENTARY VOLUME
    • Asmussen, S.1    O'Cinneide, C.A.2
  • 7
    • 84971173381 scopus 로고
    • Use of complex probabilities in the theory of stochastic processes
    • Cox D.R. Use of complex probabilities in the theory of stochastic processes. Proc. Cambridge Philos. Soc. 51:1955;313-319.
    • (1955) Proc. Cambridge Philos. Soc. , vol.51 , pp. 313-319
    • Cox, D.R.1
  • 10
    • 0004212801 scopus 로고
    • Akademie-Verlag, Berlin, and Academic Press, London
    • Kallenberg, O., 1983. Random Measures. Akademie-Verlag, Berlin, and Academic Press, London.
    • (1983) Random Measures
    • Kallenberg, O.1
  • 15
    • 84949755090 scopus 로고
    • New results on the single server queue with a batch Markovian arrival process
    • Lucantoni D. New results on the single server queue with a batch Markovian arrival process. Stochastic Models. 7:1991;1-41.
    • (1991) Stochastic Models , vol.7 , pp. 1-41
    • Lucantoni, D.1
  • 16
    • 0001163823 scopus 로고
    • 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;459-477.
    • (1992) Stochastic Models , vol.8 , pp. 459-477
    • Narayana, S.1    Neuts, M.F.2
  • 17
    • 0018752321 scopus 로고
    • 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
  • 19
    • 0000430208 scopus 로고
    • Models based on the Markovian arrival process
    • Neuts M.F. Models based on the Markovian arrival process. IEICE Trans. Commun. E-75:1992;1255-1265.
    • (1992) IEICE Trans. Commun. , vol.75 , pp. 1255-1265
    • Neuts, M.F.1
  • 20
    • 0009299749 scopus 로고
    • Matrix-analytic methods in stochastic models
    • In: Dshalalow, J. (Ed.), CRC Press, Boca Raton
    • Neuts, M.F., 1995. Matrix-analytic methods in stochastic models. In: Dshalalow, J. (Ed.), Advances in Queueing. CRC Press, Boca Raton, pp. 265-293.
    • (1995) Advances in Queueing , pp. 265-293
    • Neuts, M.F.1
  • 21
    • 0001784286 scopus 로고
    • Characterization of phase-type distributions.
    • O'Cinneide C.A. Characterization of phase-type distributions. Stochastic Models. 6:1989;1-57.
    • (1989) Stochastic Models , vol.6 , pp. 1-57
    • O'Cinneide, C.A.1
  • 22
    • 0000167911 scopus 로고
    • Matrix-analytic methods: A tutorial overview with some extensions and new results
    • In: Chakravarty, S., Alfa, A.S. (Eds.), Marcel Dekker, New York
    • Ramaswami, V., 1995. Matrix-analytic methods: a tutorial overview with some extensions and new results. In: Chakravarty, S., Alfa, A.S. (Eds.), Matrix-Analytic Methods in Stochastic Models. Marcel Dekker, New York.
    • (1995) Matrix-Analytic Methods in Stochastic Models
    • Ramaswami, V.1
  • 24
    • 84959655852 scopus 로고
    • Distribution of queueing times
    • Smith W.L. Distribution of queueing times. Proc. Cambridge Philos. Soc. 49:1953;449-461.
    • (1953) Proc. Cambridge Philos. Soc. , vol.49 , pp. 449-461
    • Smith, W.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.