Question: Problem 11-03 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their

Problem 11-03 (Algorithmic) Willow Brook National Bank operates a drive-up teller window

 

Problem 11-03 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 12 customers per hour or 0.2 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 18 customers per hour, or 0.3 customers per minute. Determine the following operating characteristics for the system: a. The probability that no customers are in the system. If required, round your answer to four decimal places. Po= b. The average number of customers waiting. If required, round your answer to four decimal places. c. The average number of customers in the system. If required, round your answer to nearest whole number. L = d. The average time a customer spends waiting. If required, round your answer to four decimal places. Wq= min e. The average time a customer spends in the system. If required, round your answer to nearest whole number. W- 10.0000 min f. The probability that arriving customers will have to wait for service. If required, round your answer to four decimal places. Pw=

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve this problem well use the formulas for an MM1 queue singleserver queuing system with Poisso... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!