Assignment:
Queueing system M/M/1
1. λ= 15 cost\hour
2. average service time 3 mins. We need to find μ from this information. We reason as follows: 1/μ= 3 mins= 1/20 hour So μ= 20 cost\hour.
Note: λ/μ = o.75<1 as required for stability.
Find
1. Utilization of teller.
2. Average number in waiting line (queue)
3. Average number in system (i e, in queue and being served)
4. Average waiting time in line.
5. Average waiting time in system (ie, including service).