Limit theorems for systems of the type <i>M </i>^θ/<i>G</i>/1/<i>b</i> with resume level of input stream

Abstract

A finite capacity queueing system of the type M ^θ/G/1/b is considered in which the input flow is regulated by some threshold level. Asymptotic properties of the first busy period and the number of customers served for this period are studied.