Resource Queueing System M/M/∞ in Random Environment

Nikita Krishtalev, Ekaterina Lisovskaya, Alexander Moiseev
In this paper, the resource queueing system operating in a random environment is considered. When the environment changes its state, the arrival rate, the service rate, and resource requirements are changed. An approximation for the characteristic function of the probability distribution of the total amount of occupied resource is derived under the asymptotic condition of growing arrival rate and extremely frequent changes in the states of the random environment.