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IMA Journal of Management Mathematics 1999 10(3):213-223; doi:10.1093/imaman/10.3.213
© 1999 by Institute of Mathematics and its Applications
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A time-dependent approximation for the queue M/M(1, s)/c

W. HOLLAND and J. D. GRIFFITHS

Canterbury Business School, University of Kent at Canterbury
School of Mathematics, University of Wales Cardiff

A time-dependent approximation for the mean number of customers in the queue for the queueing system M/M(1, s)/c is presented, using coordinate transformation. Comparisons between the approximation and an equivalent simulation model are presented, and agree ment is shown to be good. The appropriateness of utilizing the model as an upper bound for queues with smaller coefficients of variation is discussed. Possible applications of the model are presented.

Keywords: Queueing; simulation


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