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Volumn 16, Issue 5, 2000, Pages 407-433

Classification of Markov processes of matrix M/G/1 type with a tree structure and its applications to the MMAP[K]/G[K]/1 queues

Author keywords

Discrete or continuous time queueing system; Lyapunov function; Markov process; Matrix analytic methods; Mean drift method; Tree structure

Indexed keywords


EID: 0001495404     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326340008807598     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 21144481911 scopus 로고
    • Marked point processes as limits of Markovian arrival streams
    • Asmussen, S. and G. Koole, Marked point processes as limits of Markovian arrival streams, J. Appl. Prob., 30 (1993), 365-372.
    • (1993) J. Appl. Prob. , vol.30 , pp. 365-372
    • Asmussen, S.1    Koole, G.2
  • 3
    • 0013119795 scopus 로고
    • Classification of Markov chains describing the evolution of a string of characters
    • Gajrat, A.S., V.A. Malyshev, M.V. Menshikov, and K.D. Pelih, Classification of Markov chains describing the evolution of a string of characters, Uspehi Matematicheskih Nauk, 50 (1995), No. 2, 5-24.
    • (1995) Uspehi Matematicheskih Nauk , vol.50 , Issue.2 , pp. 5-24
    • Gajrat, A.S.1    Malyshev, V.A.2    Menshikov, M.V.3    Pelih, K.D.4
  • 6
    • 0001078233 scopus 로고    scopus 로고
    • Queues with marked customers
    • HE, Q-M, Queues with marked customers, Adv. Appl. Prob., 28 (1996), 567-587.
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 567-587
    • He, Q.-M.1
  • 7
    • 0033875805 scopus 로고    scopus 로고
    • Quasi-birth-and-death Markov processes with a tree structure and the MMAP[K]/PH[K]/N/LCFS non-preemptive queue
    • HE, Q-M, Quasi-birth-and-death Markov processes with a tree structure and the MMAP[K]/PH[K]/N/LCFS non-preemptive queue, European Journal of Operational Research, 120/3 (2000), 641-656.
    • (2000) European Journal of Operational Research , vol.120 , Issue.3 , pp. 641-656
    • He, Q.-M.1
  • 8
    • 0033891805 scopus 로고    scopus 로고
    • Classification of Markov processes of M/G/1 type with a tree structure and its applications to queueing models
    • HE, Q-M, Classification of Markov processes of M/G/1 type with a tree structure and its applications to queueing models, Operations Research Letters, 26 (2000), 67-80.
    • (2000) Operations Research Letters , vol.26 , pp. 67-80
    • He, Q.-M.1
  • 10
    • 0032343310 scopus 로고    scopus 로고
    • The MMAP[K]/PH[K]/1 queues with a last-come-first-served preemptive service discipline
    • HE, Q-M and A.S. Alfa, The MMAP[K]/PH[K]/1 queues with a last-come-first-served preemptive service discipline, Queueing Systems, 29 (1998), 269-291.
    • (1998) Queueing Systems , vol.29 , pp. 269-291
    • He, Q.-M.1    Alfa, A.S.2
  • 12
    • 84959708559 scopus 로고
    • The stability of a queue with non-independent inter-arrival and service times
    • Loynes, R., The stability of a queue with non-independent inter-arrival and service times, Proc. of Cambridge Philosophical Society, 58 (1962), 497-520.
    • (1962) Proc. of Cambridge Philosophical Society , vol.58 , pp. 497-520
    • Loynes, R.1
  • 13
    • 0031505431 scopus 로고    scopus 로고
    • Interacting strings of symbols
    • Malyshev, V.A., Interacting strings of symbols, Russian Math. Surveys, 52 (1997), No. 2, 59-86.
    • (1997) Russian Math. Surveys , vol.52 , Issue.2 , pp. 59-86
    • Malyshev, V.A.1
  • 16
    • 0018752321 scopus 로고
    • A versatile Markovian point process
    • Neuts, M.F., A versatile Markovian point process, J. Appl. Prob., 16 (1979), 764-779.
    • (1979) J. Appl. Prob. , vol.16 , pp. 764-779
    • Neuts, M.F.1
  • 19
    • 0001120020 scopus 로고
    • The workload in the MAP/G/1 queue with state-dependent services its application to a queue with preemptive resume priority
    • Takine, T. and T. Hasegawa, The workload in the MAP/G/1 queue with state-dependent services its application to a queue with preemptive resume priority, Stochastic Models, 10 (1994), 183-204.
    • (1994) Stochastic Models , vol.10 , pp. 183-204
    • Takine, T.1    Hasegawa, T.2
  • 20
    • 0000898308 scopus 로고
    • A generalization of the matrix M/G/1 paradigm for Markov chains with a tree structure
    • Takine, T., B. Sengupta, and R. W. Yeung, A generalization of the matrix M/G/1 paradigm for Markov chains with a tree structure, Stochastic Models, 11 (1995), 411-421.
    • (1995) Stochastic Models , vol.11 , pp. 411-421
    • Takine, T.1    Sengupta, B.2    Yeung, R.W.3
  • 21
    • 0342477776 scopus 로고    scopus 로고
    • The quasi-birth-death type Markov chain with a tree structure
    • Yeung, R.W. and A. S. Alfa, The quasi-birth-death type Markov chain with a tree structure, Stochastic Models, 15 (1999), 639-659.
    • (1999) Stochastic Models , vol.15 , pp. 639-659
    • Yeung, R.W.1    Alfa, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.