A continuous version of matrix-analytic methods with the skip-free to the left property

Communications in Statistics. Part C: Stochastic Models

Volumn 12, Issue 4, 1996, Pages 673-682

  Takine, Tetsuya ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Bivariate Markov process; MAP G 1 queue; Matrix analytic method; Queue with vacations; Skip free to the left; State dependent service time

Indexed keywords

EID: 0000432967     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326349608807405     Document Type: Article

References (9)

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2. Loynes, R. M. (1962) The stability of a queue with non-independent interarrival and service times, Proc. Cambridge Philos. Soc. 58, 497-520.
3. Lucantoni, D. M., Meier-Hellstern, K. S. and Neuts, M. F. (1990) A single-server queue with server vacations and a class of non-renewal arrival processes, Adv. Appl. Prob. 22, 676-705.
4. Neuts, M. F. (1981) Matrix-Geometric Solutions in Stochastic Models, The Johns Hopkins University Press, Baltimore, MD.
5. Neuts, M. F. (1989) Structured Stochastic Matrices, of M/G/1 Type and Their Applications, Marcel Dekker, New York.
6. Sengupta, B. (1989) Markov processes whose steady state distribution is matrix-exponential with an application to the GI/PH/1 queue, Adv. Appl. Prob. 21, 159-180.
7. Sengupta, B. (1990) The semi-Markovian queue: Theory and applications, Stock. Mod. 6, 383-413.
8. Takine, T. and Hasegawa, T. (1994) The workload in the MAP/G/1 queue with state-dependent services: Its application to a queue with preemptive resume priority, Stock. Mod. 10, 183-204.
9. Takine, T. The nonpreemptive priority MAP/G/1 queue, in preparation (preprint is available upon request).