Cars arrive at Joe’s Service Station for an oil change every 15 minutes, and the interarrival time has an exponential distribution. The service station is capable of serving up to 48 cars during an 8-hour period with no idle time. Assume that the service time is also a random variable with an exponential distribution.
Estimate or calculate
1. The value of λ.
2. The mean arrival rate.
3. The value of μ.
4. The mean service time.
5. The mean service rate.
6. The expected number of cars in the system.
7. The expected number of cars in the queue.
8. The expected waiting time.
9. The expected time in the queue.
10. The probability that the system is empty.