The M/M/c with critical jobs

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Article ID:	iaor19992678
Country:	Germany
Volume:	47
Issue:	3
Start Page Number:	341
End Page Number:	353
Publication Date:	Jan 1998
Journal:	Mathematical Methods of Operations Research (Heidelberg)
Authors:	Hooghiemstra G., Adan I.
Keywords:	M/M/c queues

Abstract:

We consider the M/M/c queue, where customers transfer to a critical state when their queueing (sojourn) time exceeds a random time. Lower and upper bounds for the distribution of the number of critical jobs are derived from two modifications of the original system. The two modified systems can be efficiently solved. Numerical calculations indicate the power of the approach.

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