Analysis and performance comparison of uniform and mixed service policy for vacation queue

In this paper we discuss a mixed policy comprising of exhaustive and gated vacation policies for a two queue system where the first queue has two priorities (high and low) of voice traffic and second queue has data traffic arrival. First queue is served in a mixed order, exhaustive for high priority and gated for low priority. The gate in front of the second queue is independent of the first queue. We have derived probability generating function (PGF) of joint queue length distribution at the visit beginning epoch of first queue and Laplace-Stieltjes Transform (LST) of distribution of waiting time and service cycle for first queue. Our result shows reduction in mean waiting time for high priority voice traffic at the cost of increasing mean waiting time for low priority voice traffic.