REGENERATION AND APPROXIMATION OF A QUEUEING SYSTEM FED BY SUPERPOSED INPUT WITH WEIBULL COMPONENTS

We study a single-server queueing system with a superposed input process formed by independent stationary renewal processes with Weibull interarrival time distributions. An approximating system with renewal input process based on Palm construction is considered. Moreover, the accuracy of the approximation in the terms of Kolmogorov distance is discussed. Finally, we demonstrate how to construct, in the initially non-regenerative queueing system, the artificial regenerations based on the exponential splitting technique.