Abstract
We compute a recursion scheme for the (conditional) cycle time in a closed two-stage cycle where one server is exponential while the second has arbitrary service time distribution.
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ALLEN, A.O.: Probability, statistics and queueing theory, Academic Press, 1978
BOXMA, O.J.; DONK, P.: On response time and cycle time distributions in a two-stage cyclic queue, Preprint Nr. 203, University of Utrecht, 1981
CHOW, W.M.: The cycle time distribution of exponential cyclic queues, J.Ass.Comp.Mach., 27 (2), 1980, 281–286
GORDON, W.T.; NEWELL, G.V.: Closed queueing systems with exponential servers, Operations Res., 15, 1967, 252–265
KEILSON, J.: The ergodic queue length distribution for queueing systems with finite capacity, J. Roy.Stat.Soc.,Ser.B., 28, 1966, 190–201
KLEINROCK,L.: Queueing systems, Vol.2, WILEY, 1976
LAVENBERG, S.S.: The steady-state queueing time distribution for the M/G/1-finite capacity queue, Management Sci. 21, (5), 1975, 501–506
LEMOINE, A.J.: Networks of queues — A survey of equilibrium analysis, Management Sci., 24, (4), 1977, 464–481
SCHASSBERGER,R.: Warteschlangen, SPRINGER, 1973
SCHASSBERGER,R.; DADUNA, H.: The time for a round-trip in a cycle of exponential queues, J.Ass.Comp.Mach. (30), 146–150, 1983
REISER,M.; KOBAYASHI, H.: The effects of service time distributions on system performance, Inform. Process. 74, North-Holland Publ. Company, 1974
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© 1984 Springer-Verlag
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Daduna, H. (1984). The cycle time distribution of cyclic two-stage queues with a non-exponential server. In: Baccelli, F., Fayolle, G. (eds) Modelling and Performance Evaluation Methodology. Lecture Notes in Control and Information Sciences, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005196
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DOI: https://doi.org/10.1007/BFb0005196
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