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Volumn 28, Issue 1, 1996, Pages 114-165

Spectral analysis of M/G/1 and G/M/1 type Markov chains

Author keywords

Martin exit boundary; Matrix analytic methods; Random walk; Shift operator; Transform methods; Wiener Hopf equations

Indexed keywords


EID: 0000466822     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800027300     Document Type: Article
Times cited : (139)

References (22)
  • 3
    • 0001778291 scopus 로고
    • On queueing processes with bulk service
    • BAILEY, N. T. J. (1954) On queueing processes with bulk service. J. Royal Stat. Soc. B 16, 80-87.
    • (1954) J. Royal Stat. Soc. B , vol.16 , pp. 80-87
    • Bailey, N.T.J.1
  • 4
    • 0038076178 scopus 로고
    • Robustness of rootfinding in single-server queueing models
    • CHAUDHRY, M. L., HARRIS, C. M. AND MARCHAL, W. G. (1990) Robustness of rootfinding in single-server queueing models. ORSA J. Comput 2, 273-286.
    • (1990) ORSA J. Comput , vol.2 , pp. 273-286
    • Chaudhry, M.L.1    Harris, C.M.2    Marchal, W.G.3
  • 5
    • 3142643135 scopus 로고
    • Time dependence of queues with semi-Markovian services
    • ÇINLAR, E. (1967) Time dependence of queues with semi-Markovian services. J. Appl. Prob. 4, 356-364.
    • (1967) J. Appl. Prob. , vol.4 , pp. 356-364
    • Çinlar, E.1
  • 6
    • 0011345532 scopus 로고
    • Queues with semi-Markovian arrivals
    • ÇINLAR, E. (1967) Queues with semi-Markovian arrivals. J. Appl. Prob. 4, 365-379.
    • (1967) J. Appl. Prob. , vol.4 , pp. 365-379
    • Çinlar, E.1
  • 7
    • 0001860522 scopus 로고
    • Queueing systems having phase-dependent arrival and service rates
    • ed. W. J. Stewart. Marcel Dekker, New York
    • DAIGLE, J. N. AND LUCANTONI, D. M. (1991) Queueing systems having phase-dependent arrival and service rates. In Numerical Solution of Markov Chains. pp. 161-202. ed. W. J. Stewart. Marcel Dekker, New York.
    • (1991) Numerical Solution of Markov Chains , pp. 161-202
    • Daigle, J.N.1    Lucantoni, D.M.2
  • 8
    • 0038582982 scopus 로고
    • Boundaries induced by non-negative matrices
    • FELLER, W. (1956) Boundaries induced by non-negative matrices. Trans. Amer. Math. Soc. 83, 19-54.
    • (1956) Trans. Amer. Math. Soc. , vol.83 , pp. 19-54
    • Feller, W.1
  • 9
    • 0001258930 scopus 로고
    • On a preemptive Markovian queue with multiple servers and two priority classes
    • GAIL, H. R., HANTLER, S. L. AND TAYLOR, B. A. (1992) On a preemptive Markovian queue with multiple servers and two priority classes. Math. Operat. Res. 17, 365-391.
    • (1992) Math. Operat. Res. , vol.17 , pp. 365-391
    • Gail, H.R.1    Hantler, S.L.2    Taylor, B.A.3
  • 11
    • 84958310749 scopus 로고
    • Solutions of the basic matrix equation for M/G/1 and G/M/1 type Markov chains
    • GAIL, H. R., HANTLER, S. L. AND TAYLOR, B. A. (1994) Solutions of the basic matrix equation for M/G/1 and G/M/1 type Markov chains. Commun. Statist. Stoch. Models 10, 1-43.
    • (1994) Commun. Statist. Stoch. Models , vol.10 , pp. 1-43
    • Gail, H.R.1    Hantler, S.L.2    Taylor, B.A.3
  • 16
    • 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
  • 17
    • 0024680811 scopus 로고
    • Stochastic complementation, uncoupling Markov chains, and the theory of nearly reducible systems
    • MEYER, C. D. (1989) Stochastic complementation, uncoupling Markov chains, and the theory of nearly reducible systems. SIAM Rev. 31, 240-272.
    • (1989) SIAM Rev. , vol.31 , pp. 240-272
    • Meyer, C.D.1
  • 18
    • 0001777957 scopus 로고
    • A spectral expansion method for random walks on semi-infinite strips
    • ed. R. Beauwens and P. de Groen. North-Holland, Amsterdam
    • MITRANI, I. AND MITRA, D. (1992) A spectral expansion method for random walks on semi-infinite strips. In Iterative Methods in Linear Algebra. pp. 141-149. ed. R. Beauwens and P. de Groen. North-Holland, Amsterdam.
    • (1992) Iterative Methods in Linear Algebra , pp. 141-149
    • Mitrani, I.1    Mitra, D.2
  • 19
    • 0009175766 scopus 로고
    • Equilibrium analysis of skip free Markov chains: Nonlinear matrix equations
    • MURTHY, G. R., KIM, M. AND COYLE, E. J. (1991) Equilibrium analysis of skip free Markov chains: nonlinear matrix equations. Commun. Statist. Stoch. Models 7, 547-571.
    • (1991) Commun. Statist. Stoch. Models , vol.7 , pp. 547-571
    • Murthy, G.R.1    Kim, M.2    Coyle, E.J.3
  • 20
    • 0000373086 scopus 로고
    • The single server queue with Poisson input and semi-Markov service times
    • NEUTS, M. F. (1966) The single server queue with Poisson input and semi-Markov service times. J. Appl. Prob. 3, 202-230.
    • (1966) J. Appl. Prob. , vol.3 , pp. 202-230
    • Neuts, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.