A queueing network model with catastrophes and product form solution

Consider a network of queues with the possibility of catastrophes at each station. When a catastrophe occurs at one service station, all the customers there are destroyed immediately, and the server is then sent for repair. The catastrophes may come either from outside the system or from another service station. Steady-state probability of the queue sizes is obtained, and is shown to have a product form solution. This model can be used, for instance, to analyze migration processes with catastrophes, and computer networks with virus infections.