Two-phase queueing system optimization in applications to data transmission control

We consider the controlled tandem queuing network with two single-server finite-length queues with non-stationary Poisson input flow of packets. The first station controls the service rate and drops any incoming packet if its buffer is full. The second station controls the packet acceptance probability. The tandem is described by a controlled finite-state Markov process and optimized on a fixed time interval by minimizing average number of dropped packets with constraints on the average sojourn time and energy consumption.