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ALGORITHMIC DISCUSSIONS OF DISTRIBUTIONS OF NUMBERS OF BUSY GHANNELS FOR GI/Geom/m/m QUEUES

机译:GI / Geom / m / m排队的繁忙代币数量分布的算法讨论

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摘要

The high speed multi-access communication channels such as BISDN and ATM oper- ate on a discrete-time basis rather than on a continuous-time basis. The usual Erlang loss formula developed for continuous-time is not valid for discrete-time queues, though models such as these can be derived from the corresponding discrete-time models. In this paper, we consider the discrete-time GI/Geom/m/m queue. Two variants of this model viz. Late-arrival system with delayed access and early arrival system have been discussed and analyzed. Distributions of numbers of busy channels at various epochs have been obtained using the supplementary variable technique. The performance mea- sures such as probability of loss, and average number of busy channels have been pre- sented for interarrival distributions: geometric, deterministic, arbitrary, etc. It is hoped that the results obtained in this paper may provide useful information to designers of telecommunication system, practitioners, and other.
机译:诸如BISDN和ATM之类的高速多址通信信道是在离散时间而不是连续时间上运行的。通常为连续时间开发的Erlang损失公式对于离散时间队列无效,尽管诸如此类的模型可以从相应的离散时间模型中得出。在本文中,我们考虑了离散时间的GI / Geom / m / m队列。此模型的两个变体。对延迟进入的迟到系统和提前到达系统进行了讨论和分析。使用补充变量技术已经获得了在各个时期的繁忙信道数量的分布。已经针对间隔分布:几何,确定性,任意性等提出了损耗概率和繁忙信道平均数量之类的性能度量。希望本文中获得的结果可以为设计人员提供有用的信息。电信系统,从业人员等。

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