Some characteristics of systems with variable intensity of service. (Russian) Zbl 0581.60091

Zakusilo, O. K.

Teor. Veroyatn. Mat. Stat. 30, 45-51 (1984).

The paper studies the queueing system described by the equation \(d\xi (t)=-\mu \xi (t)dt+d\alpha (t)\), where \(\mu >0\) and \(\alpha\) (t) is a generalized Poisson process. The properties of the stationary distributions of \(\xi\) (t) and the number of demands in the system are investigated.

MSC:

60K30	Applications of queueing theory (congestion, allocation, storage, traffic, etc.)
60J25	Continuous-time Markov processes on general state spaces
60J35	Transition functions, generators and resolvents

Keywords:

generalized Poisson process; stationary distributions