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Some applications of the theory of infinite capacity service systems to a single server system with linearly state dependent service
Published online by Cambridge University Press: 14 July 2016
Summary
A certain single server queueing system with negative exponential service with mean rate nμ, when the system contains n customers, and Poisson arrivals, is formally equivalent to the infinite capacity system M/M/∞. This equivalence is exploited to yield in a very simple manner results for the single server system which were previously obtained by difficult analysis (see Hadidi (1969)).
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- Copyright © Applied Probability Trust 1971
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