Multithreshold control of the BMAP/G/1 queuing system with MAP flow of Markovian disasters

Consideration was given to the BMAP/G/1 queuing system with a controlled mode of operation and flow of disasters interrupting servicing and emptying the system. The multithreshold strategies were used to control the mode of operation. For a fixed control strategy, determined were the stationary distribution of the system state probabilities at the instants of servicing completion and the performance characteristics such as the mean times between the customer departures, mean fraction of using a mode, mean number of customers lost in unit time because of disasters, and the probability that an arbitrary customer will be safely serviced. A numerical example illustrating the results was presented.