Question

# An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering...

1. An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 4 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold. Make sure you solve for the correct performance measure using the correct equations. Solving for an incorrect performance measure will result in zero points. Solving for more than one performance measure and not indicating which measure is the one to answer the question will also result in zero points. Solving for the correct performance measure but with an incorrect answer will have partial credit applied only if detailed mathematical work is shown.
1. (15 points) What is the average number in line waiting for service?
1. (10 points) What is the average wait time in line waiting for service?
1. (15 points) If a third agent is added, what is the average number in line waiting for service?

d. (10 points) If a third agent is added, what is the average wait time in line waiting for service?

1. An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 4 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold. Make sure you solve for the correct performance measure using the correct equations. Solving for an incorrect performance measure will result in zero points. Solving for more than one performance measure and not indicating which measure is the one to answer the question will also result in zero points. Solving for the correct performance measure but with an incorrect answer will have partial credit applied only if detailed mathematical work is shown.
1. (15 points) What is the average number in line waiting for service?
1. (10 points) What is the average wait time in line waiting for service?
1. (15 points) If a third agent is added, what is the average number in line waiting for service?

d. (10 points) If a third agent is added, what is the average wait time in line waiting for service?

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