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INFORMS Journal on Computing |
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| | Volume Number 20 Issue Number 4 First Page 510 Last Page 515 Cover Date November 01, 2008
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Approximation to the Transient Solution of the M/Ek/1 Queue
J. D. Griffiths, G. M. Leonenko, J. E. Williams |
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This paper considers the Erlang queueing system M/Ek/1, where customers arrive at random at mean rate [lambda] and the service times have an Erlang distribution with parameter k and mean service rate µ. It is difficult to obtain a transient solution in explicit form to the queue equations because of their complex structure. We propose a simple method of computing Wq(t)—the mean waiting time of a customer arriving in the queue at time t, based on an exponential function approximation. |
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