What determines the average length of a queue, which stretches in front of a service station?
The answer to this question clearly depends on the average rate at which jobs arrive at the …

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 …

Consider a system performing a continuous-time random walk on the integers, subject to
catastrophes occurring at constant rate, and followed by exponentially-distributed repair …

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 study the Markovian queuing system with heterogeneous servers and
catastrophes. The customers arrive according to a Poisson process and the service times …

A two-heterogeneous servers queue with system disaster, server failure and repair is
considered. In addition, the customers become impatient when the system is down. The …

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 …

We analyze an M/G/1 system with batch Poisson arrivals and instantaneous Bernoulli
feedback, operating under a Multiple Vacation Policy. The system is subject to disasters that …

This paper investigates the characteristics of the MAP/M/1/N queuing system in the transient
mode. The matrix method for solving the Kolmogorov equations is proposed. This method …

We consider the single server queue with catastrophes that occur according to a Poisson
process. The catastrophes force all present customers to abandon the system and render …