Mathematics

On the number of served customers in $BMAP(t) | G |\infty$ model

A. R. Khajkhnidi

Chair of Probability Theory and Mathematical Statistics YSU, Armenia

Abstract: In the present paper the $BMAP(t) | G |\infty$ model with non-stationary input stream of customers is considered. The distribution of customers’ number served during time $t$ and its mean value are obtained. Estimates for characteristics of $MAP (t)|G|\infty$ and $M^x(t) |G|\infty$ models are obtained as well.

Keywords: queuing model, $MAP$ stream, infinite number of servers.

Received: 29.04.2009
Accepted: 05.06.2009

Language: English