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Application of queueing theory in audio mixing of video conference

Queueing theory is applied in the analysis of voice mixing of video conference.The arrival processes of the two kinds of voice packets are all Poisson processes.After arriving at the mixing module,each packet queues in its finite capacity buffer.The mixer serves the packets according to the state of each queue.And the service rate is exponential.A M/M/1 queueing model with two queues is formed.The state changing figure and Q matrix are given.Steady-state distribution is worked out and some performance evaluations, such as average queue length and overflow probability are given by using matrix analysis.