Posted by **Tanner** on Saturday, May 14, 2011 at 1:35pm.

You have been retained to analyze how many check-in agents should be used at a check-in counter for a large hotel. During normal business hours, customers arrive at a rate of about 24 per hour, and it takes about 7 minutes to complete the check-in process. Both the poisson distribution for arrivals and the exponential distribution for service time apply and a FIFO discipline is used. The check-in counter will accommodate as many as five agents.

Determine the following, utilizing the queuing table D.5:

a. The average utilization rate (p).

b. The average queue length based on 1, 2, 3, 4 or 5 agents.

c. The average waiting time based on 1, 2, 3, 4 or 5 agents.

d. What is your recommendation?

Format your answer as follows:

a. utilization rate:__________

b. queue length: 1 agent__________

2 agents__________

3 agents__________

4 agents__________

5 agents__________

c. waiting time: 1 agent__________

2 agents__________

3 agents__________

4 agents__________

5 agents__________

d. Recommendation:__________________

Work for each of the above

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