End-to-end delays in multistage ATM switching networks: approximate analytic derivation of tail probabilities

Steyaert, Bart; Bruneel, Herwig; Petit, Guido H.; Desmet, E.

doi:10.1016/0169-7552(93)90029-4

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Mean and Variance Of The Packet Delay1

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1996

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Cited by 3 publications

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“…where we have used equation (4) to write the second term in (13) as a weighted sum of the unknown constants Prob[s = i] (0 5 i 5 c-1). The coefficient of Prob[s = i] in this sum can be shown to be equal to (14) a" ( 1 -a"')…”

Section: Mean and Variance Of The Packet Delaymentioning

confidence: 99%

An analytical technique for the derivation of the delay performance of ATM switches with multiserver output queues

Bruneel

Steyaert

Desmet

et al. 1992

Int. j. digit. analog commun. syst.

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In this paper, a discrete‐time multiserver queueing system with infinite waiting room and general independent arrivals is considered. The delay performance of such a system, under a first‐come‐first‐served queueing discipline, is evaluated by means of a purely analytical technique. Specifically, explicit formulae are derived for such quantities as the probability generating function, the mean value and the variance of the delay. The results of the study are useful, for instance, in the context of fast packet switching with output queueing, where the switching elements have their output ports organized in groups, each group corresponding to a separate output queue.

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Section: Mean and Variance Of The Packet Delaymentioning

confidence: 99%