We investigate the effects of the resetting mechanism to the origin for a random motion on
the real line characterized by two alternating velocities v 1 and v 2. We assume that the …

We consider a continuous-time Ehrenfest model defined over the integers from-NN to N, and
subject to catastrophes occurring at constant rate. The effect of each catastrophe …

In this paper, we consider an M/M/∞ queue with catastrophes. We study the model and
obtain the time dependent solution by using continued fraction techniques. The …

We consider a time-non-homogeneous double-ended queue subject to catastrophes and
repairs. The catastrophes occur according to a non-homogeneous Poisson process and …

Consideration is given to three different analytical methods for the computation of upper
bounds for the rate of convergence to the limiting regime of one specific class of (in) …

In this paper, we investigate on a class of time-inhomogeneous birth-death chains obtained
by applying the composition method to two time-inhomogeneous double-ended chains …

Truncation Bounds for Approximations of Inhomogeneous Continuous-Time Markov Chains
Page 1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. THEORY …

We investigate an M/M/1 queue operating in two switching environments, where the switch
is governed by a two-state time-homogeneous Markov chain. This model allows to describe …

Consideration is given to the nonstationary analogue of M/M/1 queueing model in which the
service happens only in batches of size 2, with the arrival rate λ (t) and the service rate μ (t) …

For a birth–death process N (t) with a reflecting state at 0 we propose a method able to
construct a new birth–death process M (t) defined on the same state-space. The birth and …