Question: Multiple server queueing model. Need help with number 2 & 3 please! In problems 1 through 6 below you must find all five KPIs: W,
Multiple server queueing model. Need help with number 2 & 3 please!
In problems 1 through 6 below you must find all five KPIs: W, W, La, L and p. That is, Wq, mean waiting time in the queue W, mean waiting time in the system Lq, long-term average number of customers in the queue L, long-term average number of customers in the system P, server utilisation 1. Consider the M/M/3 queue with mean interarrival time 1.5 minutes and mean service time 3 minutes at each of the three servers. 2. Suppose now that the service times of the queue in the previous problem are uniformly distributed between 1.5 and 4.5 3. Further, suppose now that the service times of the queue in the previous problem are triangularly distributed between 1.5 and 4.5 with mode 3. In each problem above (1, 2, and 3) we would like to see the effect of increasing the arrival rate in small steps. 4. Re-evaluate the five KPIs for an inter-arrival rate that is 10% higher. 5. Re-evaluate the five KPIs again for an interarrival rate that is 20% higher (than the interarrival rate in problem 1) 6. Proceed re-evaluating the five KPIs again for interarrival rates 30% and 50% higher (than the interarrival rate in problem 1) If, in some case, you run into problems (like system instability), how many more servers
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