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- W3178399568 abstract "We consider a general class of closed product-form queueing networks, consisting of single-server queues and infinite-server queues. Even if a network is of product-form type, performance evaluation tends to be difficult due to the potentially large state space and the dependence between the individual queues. To remedy this, we analyze the model in a Halfin–Whitt inspired scaling regime, where we jointly blow up the traffic loads of all queues and the number of customers in the network. This leads to a closed-form limiting stationary distribution, which provides intuition on the impact of the dependence between the queues on the network’s behavior. We assess the practical applicability of our results through a series of numerical experiments, which illustrate the convergence and show how the scaling parameters can be chosen to obtain accurate approximations." @default.
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- W3178399568 date "2021-11-01" @default.
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- W3178399568 title "Scaling limits for closed product-form queueing networks" @default.
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- W3178399568 doi "https://doi.org/10.1016/j.peva.2021.102220" @default.
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