Abstract:
We consider a queueing system of $M_tR|GI|1|\infty$ type with doubly stochastic Poisson
arrival stream. The case of a small work load in such a system is studied. We derive an asymptotic expansion in the work-load smallness parameter of the distribution function of the virtual waiting time.
Keywords:single-server queueing system, doubly stochastic Poisson arrival stream, virtual waiting time, periodic random process.