Question 5. [Winston 20.4.4 (modified)] A fast-food restaurant has one drive-thr

Question

Question 5. [Winston 20.4.4 (modified)] A fast-food restaurant has one drive-through window. An average of 40 customers per hour arrive at the window. It takes an average of 1 minute to serve a customer. Assume that interarrival and service times are exponential. 1

(a) What is the probability that a customer will receive service without waiting in the line?

(b) What fraction of the time is the drive-through window busy?

(c) On the average, how many customers are waiting in line?

(d) On the average, how long does a customer spend in the line?

(e) On the average, how long does a customer spend at the restaurant (from time of arrival to time service is completed)?

(f) What fraction of the time are more than 3 cars waiting for service (this includes the car (if any) at the window)?

Explanation / Answer

Question 5. [Winston 20.4.4 (modified)] A fast-food restaurant has one drive-thr

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