Two types of travelers (A and B) arrive at the main entrance door of an airline terminal.
Number of arrival events per minute for travelers type A follows a Poisson (alfa) distribution with alfa equal to 0.40 arrivals events every minute; with the first arrival event at time 6 minutes. Number of passengers arriving per arrival event varies according to a discrete probability distribution: a single customer 35% of the time, a couple of customers 60% of the time, and three customers 5% of the time.
Arrival events for travelers type B follow an exponential inter-arrival-time distribution with rate 0.20 arrival events every minute, with the first arrival at time 3 minutes. Number of passengers arriving per arrival event varies according to a discrete probability distribution: a single customer 40% of the time, and a couple of customers 60% of the time.
For both types of travelers the travel time from the entrance to the check-in is distributed uniformly between 2 and 3 minutes (simulate this travel time with a Process module having a Delay logic).
At the check-in counter, travelers wait in a single line until one of six agents is available to serve them. The check-in time (in minutes) for travelers type A follows a Gamma distribution with parameters \alpha =10.4 and \beta =0.42. For travelers type B the check-in time (in minutes) is zero minutes plus a variable time which follows an Erlang distribution with ExpMean = 0.54 and K = 15. Upon completion of their check-in, both types of travelers are free to travel to their gates.
Traveling to the gates (for both types of travelers) follows a triangular distribution with maximum = 5 minutes, minimum = 2 minutes and mode = 2.5 minutes (simulate also this travel time with a Process module having a Delay logic).
Furthermore, consider that agents working at the check-in counter have two types of breaks. Described as follows:
Coffee breaks (15 minutes) are staggered in pairs (i.e., two agents go on break, and immediately upon return, the next two agents go on break, until all agents have had their breaks), starting at 90 minutes into each shift.
Lunch breaks (45 minutes) are also staggered in pairs, starting 4.0 hours into each shift.
The agents are rude and, if they’re busy when a break time comes around, they just leave anyway and make the passenger wait until break time is over before finishing up that passenger (since all agents are identical, it’s no necessary for the same agent to finish up that passenger).
Consider days of 16 hours. Each day is divided into two 8-hour shifts.