Titlebook: Stochastic Storage Processes; Queues, Insurance Ri N. U. Prabhu Book 1998Latest edition Springer Science+Business Media New York 1998 Stoch

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Further Results for the Queue GI/G/1amount of work that the server has to do to serve all the customers present in the system at that time. The queue length . is the number of customers present, waiting, or being served at time .. The analysis of the processes {W ., . ≥ 0} and {., . 0} calls for techniques different from those used in

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翻布寻找

A Fluid Model for Data Communicationnsmits them at a fixed maximum rate . (1 ≤ ., . < ∞), storing messages it cannot transmit in a buffer of infinite capacity. The sources act independently, the durations of on and off times being independent random variables with exponential densities. Denoting by . the number of on sources at time .

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The Queue GI/G/1ually independent random variables with a common distribution; the basic process underlying this queueing model is the random walk {S.}. To see this, let W. be the waiting time of the nth customer and .. the idle period (if any) that just terminates upon the arrival of this customer. Then clearly for . 0..