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- W2004428145 abstract "Equilibrium state distributions are determined for queues with load-dependent Poisson arrivals and service time distributions representable by Cox's generalized method of stages. The solution is obtained by identifying a birth-death process that has the same equilibrium state distribution as the original queue. Special cases of two-stage (C 2 ) and Erlang-k (E k ) service processes permit particularly efficient algorithms for calculating the load - dependent service rates of the birth-death process corresponding to the original queue. Knowing the parameters of the birth-death process, the equilibrium state probabilities can be calculated straight-forwardly. This technique is particularly useful when subsystems are reduced to flow-equivalent servers representing the complementary network." @default.
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- W2004428145 date "1980-05-28" @default.
- W2004428145 modified "2023-10-18" @default.
- W2004428145 title "Calculating equilibrium probabilities for λ(n)/C <sub>k</sub> /1/N queues" @default.
- W2004428145 cites W2111572203 @default.
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- W2004428145 doi "https://doi.org/10.1145/1009375.806155" @default.
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