Question 1: Travelers arrive at the main entrance door of an airline terminal according to an exponential interarrival-time distribution with mean 1.6 minutes, with the first arrival at time 0. The travel time from the entrance to the check-in is distributed uniformly between 2 and 3 minutes. At the check-in counter, travelers wait in a single line until one of five agents is available to serve them. The check-in time (in minutes) follows a Weibull distribution with parameters β = 7.78 and α = 3.91. Upon completion of their check-in, they are free to travel to their gates. Create a simulation model, with animation (including the travel time from entrance to check-in), of this system. Run the simulation for a single replication of 16 hours to determine the average time in system, number of passengers completing check-in, and the time-average length of the check-in queue. Put a text box in your model with the numerical results requested.

Question 2: Modify the question 1 check-in problem by adding agent breaks. The 16 hours are divided into two 8-hour shifts. Agent breaks are staggered (that is, one agent goes on break, and immediately upon return, the next agent goes on break, until all agents have had their breaks), starting at 90 minutes into each shift. Each agent is given one 15-minute break. Agent lunch breaks (30 minutes) are also staggered, starting 3.5 hours into each shift. The agents are rude and, if they're busy when 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 not necessary for the same agent to finish up that passenger). Compare the results of this model to those of the model without agent breaks. Put a text box in your model with the numerical results requested, andew words repeat those same results from Question 1 in this text box for ready comparison; write a few your text box to address the question about comparison with Question 1.

Question 3:  During the verification process of the airline check-in system from Question 2, it was discovered that there were really two types of passengers. The first passenger type arrives according to an exponential interarrival distribution with mean 2.41 minutes and has a service time (in minutes) following a gamma distribution with parameters β = 0.42 and α = 14.4. The second type of passenger arrives according to an exponential distribution with mean 4.4 minutes and has a service time (in minutes) following 3 plus an Erlang distribution with parameters ExpMean = 0.54 and k = 15 (that is, the Expression for the service time is 3 + ERLA(0.54, 15)).

A passenger of each type arrives at time 0. Modify the model from Question 2 to include this new information.

Compare the results. Put a text box in your model with the numerical results requested, and repeat those same results from question 2 in this text box for ready comparison; write a few words in your text box to address the question about comparison with question 2.