Exercise 1 A) Travelers arrive at the main entrance door of an airport according to an exponential interarrival-time distribution with mean 1.7 minutes, with the first arrival at time 0. The travel time from the entrance to the check-in counter 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 B-7.78 and a-3.91. Upon completion of their check-in, travelers move to the security check area where they must walk through a metal detector gate. Transfer time between check-in counter and security area is EXPO(4) minutes. There are two identical metal detector gates with a single line for travelers to wait in. The time for processing travelers at the metal detector gate is distributed uniformly between 1 and 2 minutes. Data show that (90% of travelers) pass the metal detector and are free to travel to their terminal gates (out of our system) with transfer time EXPO(2.5) minutes. The rest travelers who failed to pass through the metal detector gates are subjected to a screening process where they go through a thorough personal inspection. Screening Process time is NORM(5, 0.35). There are two identical security guards performing the screening process with a single line for travelers to wait in. 95% of travelers pass the screening process and they are sent back to the metal detector gate. The other 5% of travelers are denied from traveling and at this point they are considered to be out of our system boundaries. (Note: use Station and Route Modules for modeling all transfers times) Create a simulation model. Run the simulation for (10 days, 24 hrs/day) to determine: a) The average time Travelers spend in the Airport. (... b) The average waiting time in the Airport c) The average length of the check-in queue. B) After examining the above created Model, the manager verified that scheduled break times for the Five agents were not considered. Now, he wants to add break times to their schedule (only chick-in counter agents). The 24 hours are divided into Three 8-hour shifts. All agents are given (15-minute break, 2 hours into their shift). (30- minute lunch break, 4 hours into their shift), and (a second 15-minute break, 6 hours into their shift). The agents are polite and, if they're busy when break time comes around, they first finish up that traveler and then take full break time Modify Part (A) Modelby adding agent breaks to determine: a) The average time Travelers spend in the Airport b) The average waiting time in the Airport c) The average length of the check-in queue. C) Compare the results of Part (A) Model to those of Part (B) Model
