A note on the transient behavior of the Engset loss model

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Article ID:	iaor1994351
Country:	United States
Volume:	9
Start Page Number:	145
End Page Number:	156
Publication Date:	May 1993
Journal:	Stochastic Models
Authors:	Boucherie R.J.
Keywords:	stochastic processes

Abstract:

This note shows that for the Engset loss model with s servers working at rate μ and quasirandom (N,γ) input the transient distribution can only have a product form if no blocking arises, i.e. N•s. Furthermore, in the case with blocking the transient distribution of the number of requests at the service station can be expressed as a sum of two product form distributions if and only if N=2s+1 and γ=μ.

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