Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/matched-queueing-system-moph-g-1-8rAH0zspsa
References (11)
-
V. Ramaswami (1980)
The N/G/1 queue and its detailed analysisAdvances in Applied Probability, 12
-
B.Q. Chen (1988)
Ergodicity of the Queueing Model in SeaportJ. Engin. Math., 5
-
Xu Guanghui, He Qiming, Liu Xisuo (1993)
Matched queueing systems with a double inputActa Mathematicae Applicatae Sinica, 9
-
M. Neuts (1971)
A queue subject to extraneous phase changesAdvances in Applied Probability, 3
-
G. Latouche (1981)
Queues with paired customersJournal of Applied Probability, 18
-
M. Neuts (1976)
Moment formulas for the Markov renewal branching processAdvances in Applied Probability, 8
-
G.H. Hsu, Q.M. He, X.S. Liu (1990)
The Stationary Behaviour of Matched Queueing SystemsActa Math. Appl. Sinica, 13
-
M.F. Neuts (1971)
A Queue Subject to Extraneous Phase Type ChangesAdv. Appl. Prob., 3
-
M. Neuts (1986)
A new informative embedded Markov renewal process for the PH/G/1 queueAdvances in Applied Probability, 18
-
M. Neuts (1981)
Matrix-Geometric Solutions in Stochastic Models -
V. Ramaswami (1988)
A stable recursion for the steady state vector in markov chains of m/g/1 typeStochastic Models, 4
- Publisher
- Springer Journals
- Copyright
- Copyright © 1993 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/BF02007434
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we study the matched queueing system, MoPH/G/1, where the type-I input is a Poisson process, the type-II input is a PH renewal process, and the service times are i.i.d. random variables. A necessary and sufficient condition for the stationariness of the system is given. The expectations of the length of the non-idle period and the number of customers served in a non-idle period are obtained.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005