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.

Homework #1

1. System performance measures (15 points)

(a) What is the utilization of the clerk?

(b) What is the average number of passengers in

service?

(c) What is the average number of passengers in the

waiting line?

(d) What is the average waiting time in line of a

passenger?

(e) What is the average time spent in the system of a

passenger?

Homework #1

(f) What is the average number of passengers in the

system?

(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.)