Consider the closed queueing network of single server queues with exponentially distributed service times, as shown...

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Consider the closed queueing network of single server queues with exponentially distributed service times, as shown in the figure below. The average service rates of Q1, Q2, and Q3 are respectively, 1 = 0.5, 2 = 1, and 3 = 0.5. If the system has a total user population of 4,calculate the followings using Buzen's algorithm. i) The state probability distribution of the network. ii) The actual throughput of each queue. iii) The average waiting time of each queue. 0.6 Q E8 0.6 0.4 0.2 Q3 TO 0.4 0.6 Q 0.2 Consider the closed queueing network of single server queues with exponentially distributed service times, as shown in the figure below. The average service rates of Q1, Q2, and Q3 are respectively, 1 = 0.5, 2 = 1, and 3 = 0.5. If the system has a total user population of 4,calculate the followings using Buzen's algorithm. i) The state probability distribution of the network. ii) The actual throughput of each queue. iii) The average waiting time of each queue. 0.6 Q E8 0.6 0.4 0.2 Q3 TO 0.4 0.6 Q 0.2