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Note on throughput in a queueing network with changing-speed servers and blocking

机译:注意具有变化速度的服务器和阻塞的排队网络中的吞吐量

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We consider a queueing network under very general settings. The network is related to tandem queues with blocking rather than queueing networks with product-form queue length distributions or insensitivity. Our queueing network in which each station has only finite buffer capacity and in which the processing (service) capacity as a whole depends on the total busy servers is of interest to practitioners working on the design or control of manufacturing systems and related systems. We focus on the throughput of the network. The main purpose of this paper is not to analyze the throughput but to present its properties which give a good insight into the problem. We derive two expressions of the throughput in terms of the corresponding regular queueing network. Based on the first expression, we show that a two-station tandem queue with changing-speed servers is reversible with respect to the throughput. A sensitivity analysis is given as an application of the second expression.
机译:我们考虑在非常常规的设置下的排队网络。该网络与具有阻塞的串联队列有关,而不是与具有产品形式的队列长度分布或不敏感的网络排队。我们的排队网络中,从事制造系统和相关系统的设计或控制的从业人员很感兴趣,在该排队网络中,每个工作站仅具有有限的缓冲区容量,并且整个处理(服务)容量取决于整个繁忙的服务器。我们专注于网络的吞吐量。本文的主要目的不是分析吞吐量,而是介绍其属性,从而可以很好地了解问题。我们根据相应的常规排队网络得出吞吐量的两个表达式。基于第一个表达式,我们表明具有变化速度服务器的两站串联队列在吞吐量方面是可逆的。作为第二表达式的应用给出了灵敏度分析。

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