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Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions

N. Izady and D. Worthington

European Journal of Operational Research, 2011, vol. 213, issue 3, 498-508

Abstract: A Fixed Point Approximation (FPA) method has recently been suggested for non-stationary analysis of loss queues and networks of loss queues with Exponential service times. Deriving exact equations relating time-dependent mean numbers of busy servers to blocking probabilities, we generalize the FPA method to loss systems with general service time distributions. These equations are combined with associated formulae for stationary analysis of loss systems in steady state through a carried load to offered load transformation. The accuracy and speed of the generalized methods are illustrated through a wide set of examples.

Keywords: Queueing; Erlang; loss; model; Time-dependent; arrival; rate; Carried; load (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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