On the time to reach a certain orbit level in multi-server retrial queues

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摘要

Multi-server retrial queues are widely used to model stochastically many telephone systems and computer networks. This paper studies the distribution of the time needed to reach a certain level of congestion, i.e., a given number of customers in the retrial group. We present a detailed algorithmic analysis which includes the computation of the time to reach a critical number of customers (continuous descriptor), the number of customers served during such a time (discrete descriptor) and the corresponding moments for both queueing performance measures.

论文关键词:Multi-server retrial queue,First passage time,Number of customers served,Moments,Numerical inversion

论文评审过程:Available online 26 November 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.09.038