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Volumn 30, Issue 2, 1998, Pages 365-384

Infinite block-structured transition matrices and their properties

Author keywords

Block form matrices; Censored Markov chains; Factorization of generating functions; Infinite state Markov chains; Markov chains with repeating rows; Transient, recurrent and positive recurrent states

Indexed keywords


EID: 0009036327     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800047339     Document Type: Article
Times cited : (28)

References (12)
  • 3
    • 0039946369 scopus 로고
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    • GIBSON, D. AND SENETA, E. (1987). Augmented truncations of infinite stochastic matrices. J. Appl. Prob. 24, 600-608.
    • (1987) J. Appl. Prob. , vol.24 , pp. 600-608
    • Gibson, D.1    Seneta, E.2
  • 4
    • 0022161587 scopus 로고
    • The factorization of queueing equations and their interpretation
    • GRASSMANN, W. K. (1985). The factorization of queueing equations and their interpretation. J. Opl. Res. Soc. 36, 1041-1050.
    • (1985) J. Opl. Res. Soc. , vol.36 , pp. 1041-1050
    • Grassmann, W.K.1
  • 5
    • 0000572102 scopus 로고
    • Equilibrium distribution of block-structured Markov chains with repeating rows
    • GRASSMANN, W. K. AND HEYMAN, D. P. (1990). Equilibrium distribution of block-structured Markov chains with repeating rows. J. Appl. Prob. 27, 557-576.
    • (1990) J. Appl. Prob. , vol.27 , pp. 557-576
    • Grassmann, W.K.1    Heyman, D.P.2
  • 6
    • 0040539256 scopus 로고
    • Computation of steady-state probabilities for infinite-state Markov chains with repeating rows
    • GRASSMANN, W. K. AND HEYMAN, D. P. (1993). Computation of steady-state probabilities for infinite-state Markov chains with repeating rows. ORSA J. Computing 5, 292-303.
    • (1993) ORSA J. Computing , vol.5 , pp. 292-303
    • Grassmann, W.K.1    Heyman, D.P.2
  • 7
    • 0004925950 scopus 로고
    • Twoqueues in parallel
    • HAIGHT, F. A. (1958). Twoqueues in parallel. Biometrika 45, 401-410.
    • (1958) Biometrika , vol.45 , pp. 401-410
    • Haight, F.A.1
  • 8
    • 21844515710 scopus 로고
    • Accurate computation of the fundamental matrix of a Markov chain
    • HEYMAN, D.P. (1995). Accurate computation of the fundamental matrix of a Markov chain. SIAM J. Matrix Anal. Appl. 16, 954-963.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 954-963
    • Heyman, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.