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- W2953089324 abstract "Melamed's theorem states that for a Jackson queuing network, the equilibrium flow along a link follows Poisson distribution if and only if no customers can travel along the link more than once. Barbour & Brown~(1996) considered the Poisson approximate version of Melamed's theorem by allowing the customers a small probability $p$ of travelling along the link more than once. In this paper, we prove that the customer flow process is a Poisson cluster process and then establish a general approximate version of Melamed's theorem accommodating all possible cases of $0le p<1$." @default.
- W2953089324 created "2019-06-27" @default.
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- W2953089324 date "2010-06-29" @default.
- W2953089324 modified "2023-09-27" @default.
- W2953089324 title "On customer flows in Jackson queuing networks" @default.
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