Resource QS with the Requests Duplication at the Second Phase and Renewal Arrival Process

Anastasia Galileyskaya, Ekaterina Lisovskaya, Michele Pagano, Svetlana Moiseeva
In this paper, a resource queueing system with renewal arrival process, arbitrary service time distribution and requests duplication at the second phase is considered. In more detail, we apply the dynamic screening method to obtain the asymptotic expression for the stationary probability distribution of the total amount of occupied resource in the system. Finally, we verify the goodness of the obtained Gaussian approximation by means of discrete event simulation.