Homework Answers
Answer a: average wait time in line= 0.15 hours that is 0.15*60= 9.00 mins
Explanation:
| Queuing model | ||||
| Serving time= | 3.00 | min | ||
| Lamba = arrival rate = | 15.0 | per hour | ||
| Mu = mean service rate = 60/serving time | 20.0 | per hour | ||
| Serving time= 1/Mu= | 0.050 | hours | ||
| Utilization = rho = lambda / mu = | 0.750 | 75.0% | ||
| Average no. in queue: | ||||
| Average no queue =Lq = (rho)2 / (1-rho) | ||||
| Average no of customers waiting in line =Lq = | 2.25 | customers | ||
| Answer a: | Average time spent in queue: | |||
| Wq = waiting time in the line for service = Lq / lambda = | 0.15 | hours | ||
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