This note presents two fairly simple formulae for the approximate evaluation of the average queueing time in the processes M/D/r and D/M/r. The formulae were tested for up to 100 servers; the relative percentage errors incurred are below 1% for most practical purposes. In the case of the process D/M/r, an approximate formula for the queue size distribution is also given.
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George P. Cosmetatos (1975) studied this question.
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