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Volumn 15, Issue 4, 1999, Pages 639-659

The quasi-birth-death type Markov chain with a tree structure

Author keywords

Duality; LCFS service; MAP PH 1 queue; Markov chain; QBD type; Tree structure

Indexed keywords


EID: 0342477776     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326349908807556     Document Type: Article
Times cited : (21)

References (8)
  • 1
    • 0000142055 scopus 로고
    • Birth and death processes on the integers with phases and general boundaries
    • Hajek, B. (1982), "Birth and death processes on the integers with phases and general boundaries," J. Appl. Prob. 19, 488-499.
    • (1982) J. Appl. Prob. , vol.19 , pp. 488-499
    • Hajek, B.1
  • 2
    • 0001638582 scopus 로고
    • A note on two matrices occurring in the solution of quasi-birth-and-death processes
    • Latouche, G. (1987), "A note on two matrices occurring in the solution of quasi-birth-and-death processes", Stochastic Models 3(2), 251-257.
    • (1987) Stochastic Models , vol.3 , Issue.2 , pp. 251-257
    • Latouche, G.1
  • 3
    • 21344482962 scopus 로고
    • A logarithmic reduction algorithm for quasi-birth-death processes
    • Latouche, G. and Ramaswami, V. (1993), "A logarithmic reduction algorithm for quasi-birth-death processes", J. Appl. Prob. 30, 650-674.
    • (1993) J. Appl. Prob. , vol.30 , pp. 650-674
    • Latouche, G.1    Ramaswami, V.2
  • 6
    • 0000890872 scopus 로고
    • A duality theorem for the matrix paradigms in queueing theory
    • Ramaswami, V. (1990), "A duality theorem for the matrix paradigms in queueing theory", Commun. Statist. Stoch. Models 6, 151-161.
    • (1990) Commun. Statist. Stoch. Models , vol.6 , pp. 151-161
    • Ramaswami, V.1
  • 7
    • 0000898308 scopus 로고
    • A generalization of the matrix M/G/1 paradigm for Markov chains with a tree structure
    • Takine, T., Sengupta, B. and Yeung, R. W. (1995), "A generalization of the matrix M/G/1 paradigm for Markov chains with a tree structure", Stochastic Models, 11(3), 411-421.
    • (1995) Stochastic Models , vol.11 , Issue.3 , pp. 411-421
    • Takine, T.1    Sengupta, B.2    Yeung, R.W.3
  • 8
    • 0000916694 scopus 로고
    • Matrix product-form solutions for Markov chains with a tree structure
    • Yeung, R. W. and Sengupta, B. (1994), "Matrix product-form solutions for Markov chains with a tree structure", Adv. Appl. Prob. 26, 965-987.
    • (1994) Adv. Appl. Prob. , vol.26 , pp. 965-987
    • Yeung, R.W.1    Sengupta, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.