Question: Consider a single-output, non-preemptive queueing system. It has three queues connected to the single output, and packets in the queues are handled based on a

Consider a single-output, non-preemptive queueing system. It has three queues connected to the single output, and packets in the queues are handled based on a strict-priority order. The three queues have, respectively, Poisson arrivals at rates 1,2,3 packets /sec, average packet sizes X1,X2,X3 bits. Queue 1 has the highest priority, Queue 3 has the least priority. The single output link has a rate R bps, find the following: If the packet sizes are exponentially distributed, a. find the variance for their service times Y12,Y22,Y32. b. find the probability that queue 1 gets a packet with size smaller than X1. c. find the average delay experienced by packets in queue 1 . d. find the average delay experienced by packets in queue 3 . If the packet sizes are constant. e. find the average delay experienced by packets in queue 1
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