Regenerative and Ergodic Properties of the K-Server Queue with Nonstationary Poisson Arrivals

摘要

A k-server queue with nonstationary Poisson arrivals is considered. Regeneratives and ergodic properties are given. Regenerative properties depend on stochastic process regeneratives in the traditional sense and the intensity of the arrival process. Ergodic properties depend on restrictions of the intensity of the arrival process and the service intensity. Ergodicity is characterized by the approximation of the transition probabilities of non-time-homogeneous Markov process to a probability measure for each real number.