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- W1993551560 abstract "We derive a recurrence relation for ξ n , the time until the nth departure measured from T 0 , any well-defined instant in time. While the recurrence, valid for the G/G/s queue, is generally not easy to work with, in certain cases we can use it to obtain the distribution and moments of ξ n . We obtain limited results for the M/M/s queue but investigate the M/D/s queue in detail. For the M/D/s queue, the results are used to determine the range of system parameters, p/s (the average utilization per server) and s, for which the distribution of ξ s can be approximated by one of the gamma type. The quality of the approximation for a given p and s provides insight as to when the output of the M/D/s queue is “nearly Poisson.”" @default.
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- W1993551560 date "1978-06-01" @default.
- W1993551560 modified "2023-09-28" @default.
- W1993551560 title "The Output of Multiserver Queuing Systems" @default.
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- W1993551560 doi "https://doi.org/10.1287/opre.26.3.492" @default.
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