Three types of customers arrive at a small airport: check baggage (30%, that is, for each arriving customer there is a 0.30 probability that this is a ch1.66eck-baggage customer), purchase tickets (15%), and carry-on (55%). The interarrival-time distribution for all customers combined is EXPO(1.3); all times are in minutes and the fi rst arrival is at time 0. The bag checkers go directly to the check-bag counter to check their bags the time for which is distributed TRIA(2, 4, 5)proceed to X-ray, and then go to the gate. The ticket buyers travel directly to the ticket counter to purchase their ticketsthe time for which is distributed EXPO(7)proceed to X-ray, and then go to the gate. The carry-ons travel directly to the X-ray, then to the gate counter to get a boarding pass the time for which is distributed TRIA(1, 1.6, 3). All three counters are staffed all the time with one agent each. The X-ray time is EXPO(1). All travel times are EXPO(2), except for the carry-on time to the X-ray, which is EXPO(3).

a) Describe how you would model this problem. (5-Mark)

b) Build the model using ARENA Syntax and explain what the function of each module is you used in the model. (20-Mark)

c) Identify the VARIABLES, EXPRESSIONS, ATTRIBUTES, ENTITIES used in the model. (10-Mark)

d) Identify what OUTPUT need to be collected from this model. (5-Mark)