On a fractional queueing model with catastrophes

On a queueing model with service interruptions

Single-server queues in which the server takes vacations arise naturally as models for a wide range of computer, communication and production systems. In almost all studies on vacation models, the vacation lengths are assumed to be independent of the arrival, service, workload and queue length processes. In the present study we allow the length of a vacation to depend on the length of the previ...

On the generalized mass transfer with a chemical reaction: Fractional derivative model

In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.

A tandem queueing model with coupled processors

We consider a tandem queue with coupled processors and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems.

A multi-server queueing model with locking

A multi - server queueing model with

In this paper we analyse a multi-server queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks, where each track ooers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance t...