论文标题

单个站两阶段叛逆队列的近似性能度量

Approximate Performance Measures for a Single Station Two-Stage Reneging Queue

论文作者

Sasanuma, Katsunobu, Scheller-Wolf, Alan

论文摘要

我们研究一个单个站的两阶段叛逆队列,带有泊松到达,指数服务和两个指数式叛逆行为,扩展了流行的Erlang一个模型,该模型假定持续的抛置速率。在马尔可夫链分解方法之后,我们得出代表我们两阶段队列的性能度量的近似分析公式。我们的公式不仅给出了跨越轻型体系的重量流量的准确结果,而且还提供了对容量决策的洞察力。

We study a single station two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A model that assumes a constant reneging rate. We derive approximate analytical formulas representing performance measures for our two-stage queue following the Markov chain decomposition approach. Our formulas not only give accurate results spanning the heavy-traffic to the light-traffic regimes, but also provide insight into capacity decisions.

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