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3402_A06

# 3402_A06 - IEOR 3402 Assignment 6 You may work individually...

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IEOR 3402: Assignment 6 You may work individually, or as a group of 2 students. (If you work as a group, please submit one assignment per group.) 1. The Manager of the American Savings Bank wants to determine the minimum number of tellers needed to handle lunchtime customers. The actual time between two customers ar- riving follows an exponential distribution. Each teller can handle an average of 12 customers an hour, but the time for each customer varies an according to an exponential distribution. (a) Suppose there is only one teller, and customers arrive at a rate of one about every 7.5 minutes. Find the values of the average waiting time W q , average time in the system W , mean queue length L q , and mean number in the system L . (b) Suppose there is only one teller. The manager has observed that there seems to be an average of 5 customers in the bank at any given time. Find the values of W q , W , L q and L . (c) Suppose there are two tellers, and customers arrive at a rate of one about every 7.5 minutes. Find the values of W q , W , L q and L . 2. The Vice-President of Operations for Texas Airways, you, Ms. Kimberly Brown, have been asked to look into complaints that passengers in Dallas are spending too much time at the check-in counter and that the line is too long. To learn more about this problem, you developed a queuing model to study the existing system, which currently consists of one waiting line and four ticket agents.

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