Sunset Airlines is concerned about the level of
service for its check-in procedure. Currently, a single
clerk spends an average of three minutes per
passenger checking luggage and issuing boarding
passes. Passengers arrive at the rate of 16 per hour.
Make all the assumptions of M/M/1 model.
1. System performance measures (15 points)
(a) What is the utilization of the clerk?
(b) What is the average number of passengers in
(c) What is the average number of passengers in the
(d) What is the average waiting time in line of a
(e) What is the average time spent in the system of a
(f) What is the average number of passengers in the
(g) What is the probability of having more than 1
passenger in the waiting line?
2. Capacity planning (5 points)
Based on a survey, $20 per hour is considered the cost
of a passenger waiting in line. Each clerk is paid $15 per
hour. On the basis of the total hourly cost of clerks and
customer waiting, how many clerks do you recommend?
(Try to provide as many steps as you can.)