In this paper, we propose a kernel method for exact tail asymptotics of a random walk to
neighborhoods in the quarter plane. This is a two-dimensional method, which does not …

Abstract Wireless Sensor Networks face limitations in battery life, energy consumption and
network lifetime. By fixing high transmission power, the scenario leads to high interference …

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 …

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 …

In this paper, we are interested in tail asymptotics of stationary distributions for a twostage
tandem queue with coupled processors, Poisson arrivals, and exponential service times …