Showing papers by "N. Selvaraju published in 2023"
01 Jan 2023
TL;DR: In this paper , an infinite-server queue with Markov-modulated nonhomogeneous arrival and service processes is considered and the authors adopt the martingale central limit theorem to derive the diffusion approximation of the centered and normalized queue length processes of the queueing system under suitable scaling.
Abstract: We consider an infinite-server queue with Markov-modulated non-homogeneous arrival and service processes. We adopt the martingale central limit theorem to derive the diffusion approximation of the centered and normalized queue length processes of the queueing system under suitable scaling. In particular, the diffusion approximation results in an Ornstein–Uhlenbeck process with time-varying coefficients and the associated covariance captures the stochastic and predictable variabilities simultaneously.