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

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

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Article ID: iaor20115947
Volume: 213
Issue: 3
Start Page Number: 498
End Page Number: 508
Publication Date: Sep 2011
Journal: European Journal of Operational Research
Authors: ,
Keywords: loss networks
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.

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