The M/G/1/M blocking formula and its generalizations to state-dependent vacation systems and priority systems

The M/G/1/M blocking formula and its generalizations to state-dependent vacation systems and priority systems

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Article ID: iaor19941209
Country: Netherlands
Volume: 14
Issue: 1/2
Start Page Number: 111
End Page Number: 123
Publication Date: Aug 1993
Journal: Queueing Systems
Authors: ,
Abstract:

The formula for the blocking probability for the finite capacity M/G/1/K in terms of the steady state occupancy probability distribution of M/G/1 and the system utilization is known. The validity of this relationship is demonstrated for a broad class of state dependent M/G/1 vacation systems and priority systems. New methods are employed which may also be of interest in their own right.

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