### Average queue length and the average ?ow time of the system

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During peak demand, an airline check-in with two desks and a single waiting line receives one customer every 1.5 minutes on average, with standard deviation of 0.4 minutes. Service times are 2.5 minutes on average, with standard deviation of 0.9 minutes. (vi) Find the throughput, the utilization rate and the e?ciency rate of the system. (vii) Find the average queue length and the average ?ow time of the system. (viii) Would the average queue length change if one desk closed? If so, how and why? (ix) If the system was divided in two separate queues, one waiting line and one desk for priority passengers (30% of the total), and one waiting line and one desk for all other passengers, what would be the average queue length for the two types of passengers? (x) Assuming that a priority passenger’s wait costs twice the wait of a regular passenger, is it better to keep one single waiting line with two servers or two separate queues? Why?

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