BMAP/G/1 Cyclic Polling Model with Binomial Disciplines
The paper deals with the analysis of BMAP/G/1 cyclic polling model with binomial-gated and binomial-exhaustive disciplines. The analysis relies on formerly applied methodology, in which the service discipline independent and service discipline dependent parts of the analysis are treated separately. In this work we complete the service discipline dependent part of the analysis for the binomial disciplines. This leads to a governing equation of the system in terms of the steady-state number of customers at the server arrival and departure epochs. A numerical procedure can be established based on the newly derived results together with formerly obtained service discipline independent results to determine the steady-state factorial moments of the number of customers in the system.
Keywordsqueueing theory polling model BMAP service discipline
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