For the M/M/1 queue in the presence of catastrophes the transition probabilities, densities of
the busy period and of the catastrophe waiting time are determined. A heavy-traffic …

The arrival of a negative customer to a queueing system causes one ordinary customer to be
removed (or killed) if any is present. The arrival of a disaster, on the other hand, kills all the …

In this paper, we consider a stochastic process that may experience random reset events
which relocate the system to its starting position. We focus our attention on a one …

A transient solution is obtained analytically using continued fractions for the system size in
an M/M/1 queueing system with catastrophes, server failures and non-zero repair time. The …

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 …

In this paper, we study birth/immigration-death processes under mild (binomial)
catastrophes. We obtain explicit expressions for both the time-dependent (transient) and the …

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 …

In this paper, we studied single-server models of queuing-inventory systems (QIS) with
catastrophes in the warehouse part and negative customers (n-customers) in service facility …

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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 …