Numerical Computations and Tail Asymptotics for Stationary Indices of a Discrete-time Queue

HB Zhang - Journal of the Operations Research Society of China, 2024 - Springer
This paper considers numerical computations and tail asymptotics for stationary queue
length and sojourn time distribution of the Geo/T-IPH/1 queue, where T-IPH denotes the …

The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems

YQ Zhao - Queueing Systems, 2022 - Springer
Many queueing systems can be modelled as two-dimensional random walks with reflective
boundaries, discrete, continuous or mixed. Stationary probabilities are one of the most …

Kernel Method--An Analytic Approach for Tail Asymptotics in Stationary Probabilities of 2-Dimensional Queueing Systems

YQ Zhao - arXiv preprint arXiv:2101.11661, 2021 - arxiv.org
In this paper, we provide a review on the kernel method, which is one of the options for
characterizing so-called exact tail asymptotic properties in stationary probabilities of two …