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- W3124947758 abstract "Pollaczek's theory for the many server queue is generalized and extended. Pollaczek (1961) found the distribution of the actual waiting times in the model G/G/s as a solution of a set of integral equations. We give a somewhat more general set of integral equations from which the joint distribution of the actual waiting time and some other random variables may be found. With this joint distribution we can obtain distributions of a number of characteristic quantities, such as the virtual waiting time, the queue length, the number of busy servers, the busy period and the busy cycle. For a wide class of many server queues the formal expressions may lead to explicit results." @default.
- W3124947758 created "2021-02-01" @default.
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- W3124947758 date "1973-04-01" @default.
- W3124947758 modified "2023-09-25" @default.
- W3124947758 title "Some general results for many server queues" @default.
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- W3124947758 doi "https://doi.org/10.1017/s0001867800039008" @default.
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