On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times

Autor: Foss, S. G.

Publikováno v: Problems of Information Transmission, 43 (2007), No.4, 93--108

We study the asymptotics of the stationary sojourn time Z of a "typical customer" in a tandem of single-server queues. It is shown that, in a certain "intermediate" region of light-tailed service time distributions, Z may take a large value mostly du

Externí odkaz: http://arxiv.org/abs/0909.0725

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On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distributions.

Autor: Zachary, S.¹ s.zachary@hw.ac.uk, Foss, S. G.² foss@math.nsc.ru; s.foss@ma.hw.ac.uk

Publikováno v: Siberian Mathematical Journal. Nov2006, Vol. 47 Issue 6, p1034-1041. 8p.

Renovation, regeneration, and coupling in multiple-server queues in continuous time

Autor: Asmussen, Søren, Foss, S. G.

Publikováno v: Asmussen, S & Foss, S G 1993, Renovation, regeneration, and coupling in multiple-server queues in continuous time . in H Niemi, G Högnäs, A N Shiryaev & A V Melnikov (eds), Proceedings of the Third Finnish-Soviet symposium on probability theory and mathematical statistics . VSP, Frontiers in pure and applied probability, vol. 1, pp. 1-6, Turku, Finland, 13/08/1991 .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=pure_au_____::b6264c3a64c3252c4ca259388610e99c
https://pure.au.dk/portal/da/publications/renovation-regeneration-and-coupling-in-multipleserver-queues-in-continuous-time(6b4da050-7cb0-11dc-bee9-02004c4f4f50).html

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