Blackboard to calculate the average flow time

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Reference no: EM132221773

(Bank Teller) One teller has been serving all customers at a local bank branch in a small town of Boston. Customers arrive in a mean of 1/15 hours (or 4 minutes) with a standard deviation of 1/15 hours. The teller spends a mean of 1/20 hours (or 3 minutes) with a standard deviation of 1/20 hours. Customers visit the branch for different tasks, which creates the variability of service times. Some of their requests, such as money withdrawals, take a short time whereas others such as foreign money deposits take long.

1. (Bank Teller) The queue is ___. (Hint: Calculate utilization.) A) stable B) not stable

2. (Bank Teller) (a) Use the queueing template posted on Blackboard to calculate the average flow time (W). [Answer format: one decimal place] (b) Then use the Little's law to calculate the average customers in the entire system (L). (Hint: L includes customers in the waiting line and also those in service.) [Answer format: integer] Write your answer(s) as 2.3, 4

3. (Bank Teller) (a) Use the average flow time (W) to calculate the average waiting time (Wq). (Hint: average flow time (W) = average waiting time (Wq) + mean service time (ts)) [Answer format: two decimal places] (b) Then use the Little's law to calculate the average customers in the waiting line (Lq). (Hint: Lq includes customers in the waiting line, but not those in service.) [Answer format: two decimal places] Write your answer(s) as 1.23, 4.56

4. (Bank Teller) As a part of job enrichment program, the bank teller left the branch for a week and was replaced by his manager. Unfortunately, the branch manager is not familiar with the teller's job and his average service time is twice the teller's average service time. The queue is ___. (Hint: Recalculate utilization.) During the next week, average flow time (W) will __. A) stable, remain the same C) stable, grow B) not stable, remain the same D) not stable, grow

Reference no: EM132221773

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