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On the convenience of pooling three heterogeneous queues

机译:关于合并三个异构队列的便利

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This work evaluates the convenience of pooling three single server queues in parallel, understanding by pooling the integration of a system with three independent single server queues, to one with a single queue and the same number of multifunctional servers. Each system under analysis has Poisson arrivals, different Exponential service times and different utilizations, the metric used to evaluate is the mean waiting time in queue. Conclusions are stated about the conditions under which pooling is beneficial. The results are of both practical and theoretical interest: practical for clarifying the interaction of service time and utilizations in the convenience of pooling, and theoretical for a further research in an analytical expression and more complex queues.
机译:通过将具有三个独立的单个服务器队列的系统集成到一个具有单个队列和相同数量的多功能服务器的系统的池中,这项工作评估了并行池化三个单个服务器队列的便利性。分析中的每个系统都有泊松到达,不同的指数服务时间和不同的利用率,用于评估的指标是队列中的平均等待时间。陈述了有关合并有利条件的结论。该结果具有实际和理论意义:在澄清方便使用时,有助于弄清服务时间和利用率之间的交互作用,而在解析表达式和更复杂的队列中进行进一步研究则具有理论意义。

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