A double quasi-birth-and-death (QBD) process is the QBD process whose background
process is a homogeneous birth-and-death process, which is a synonym of a skip-free …

We are concerned with the stationary distributions of reflecting processes on
multidimensional nonnegative orthants and other related processes, provided they exist …

We consider a queueing system consisting of two nonidentical exponential servers, where
each server has its own dedicated queue and serves the customers in that queue FCFS …

We consider a two-queue polling model in which customers upon arrival join the shorter of
two queues. Customers arrive according to a Poisson process and the service times in both …

We consider a discrete-time two-dimensional process {(L_n^(1),L_n^(2))\} on Z_+^2 with a
background process J n on a finite set, where individual processes {L_n^(1)\} and {L_n^(2)\} …

We consider a two-dimensional reflecting random walk on the nonnegative integer
quadrant. This random walk is assumed to be skip free in the direction to the boundary of the …

We derive rough and exact asymptotic expressions for the stationary distribution π of a
Markov chain arising in a queueing/production context. The approach we develop can also …

A variant of the standard symmetric system of two parallel queues under the join-the-shortest-
queue policy is introduced. Here, the shortest queue has service rate μ _1 μ 1, while the …

In this paper, we consider the classical preemptive priority queueing system with two classes
of independent Poisson customers and a single exponential server serving the two classes …

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 …