In this paper, we study an infinite capacity multi-server Markovian queuing system with
balking and retention of reneging customers. The transient analysis of the model is …

The idea of G-networks with negative arrivals, as well as of the relevant product form
solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989 …

In this paper, we discuss the time dependent behaviour of an M/M/1 queueing system with
multiple vacations. We assume that the system is subject to sudden breakdowns and that …

In this paper, we consider a single server Markovian queueing system with a finite buffer. In
addition to a Poisson stream of positive arrivals we assume that there is a also a Poisson …

In this paper, the transient behavior dealing with a two-processor heterogeneous system
with catastrophes, server failures and repairs is investigated, where tasks arrive according to …

Waiting line problems with server vacation have envisaged with increasing complexities and
their explicit transient solutions are rigorous in computations, at the same time such …

Recently Krishna Kumar and Pavai [10] have obtained the transient distribution for the
queue length of the system an M/M/1 queueing system with catastrophes, server failures …

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 …

In this paper, we have obtained explicit expressions for the time dependent probabilities of
the M/M/1 queue with server vacations under a multiple vacation scheme. The …

In the last two decades, researchers have really been embracing the idea of G-networks with
negative arrivals and the relevant product form solution including nonlinear traffic equations …