Assume that for a gas station car wash one car can be serviced at a time. The
Question:
Assume that for a gas station car wash one car can be serviced at a time. The arrivals follow a Poisson probability distribution, and the service times follow an exponential probability distribution. The following Operating Characteristics are from a queuing model that you created with time units specified in hours:
Po = 0.4000
Lq = 0.9000
L = 1.5000
Wq = 0.2000
W = 0.3000
Pw = 0.6000
With this information, prepare a report for the owner of the gas station explaining the answers to these five questions:
1. What is the average time, in minutes, a customer waits in line before being served?
2. What is the average time, in minutes, a customer spends waiting and being served?
3. What is the average number of customers in the system?
4. What is the probability that there are no customers in the system?
5. If the system serves a customer every 4 minutes, what is the service rate?
Expert Answer:
The queue system that is used in the car wash station follows thew MM1 queuing model that indicates ... View the full answer
