Abstract. We consider five input flow models of more complicated structure than the Poisson one, where steady-state probabilities of the queueing system •/G /∞ can be found explicitly (the Poisson distribution). For these models, the combination of Poisson distribution (analytical part) with statistical simulation (statistical part) allows us to evaluate the steady-state probabilities with the fast simulation method. The accuracy of the estimates is illustrated by numerical examples.
Keywords: queueing system, steady-state probabilities, nonstationary Poisson flow, regenerative process, semi-Markov process, cluster process, unbiased estimate, relative error.
1 Physico-Technical Institute of the National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute,” Kyiv, Ukraine,
e-mail: sea_hawk@icloud.com.
2 Physico-Technical Institute of the National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute,” Kyiv, Ukraine,
e-mail: shumska-aa@ukr.net.