SIMULATION AND OPTMIZATION Question 3 [15] Passengers enter a certain busy train station at a rate of approximately 80 per minute during morning peak hours (between 7 and 9 am). Passengers exit the station during the same time at a rate of 45 per minute. Each entrance/exit point allow an average of 30 passengers per minute to enter or exit. Arrival and service times at the entrances are assumed to follow Poisson and exponential distributions respectively. Assume that passengers form a common queue at both the entry and exit areas and proceed to the first empty turnstile gate. The station manager does not want passengers to wait in the queue for more than 6 seconds, nor does he want more than 8 people in any queue at any time due to COVID19 safety regulations. As an operations researcher, the station manager has asked you to build a simulation model to analsye the operation dynamics of the passengers entering or exiting the train station (3.1) What do you think should be the objective of the study? (1) (3.2) Which simulation model is appropriate for the system: discrete or continuous; static or dy- namic; determistic or stochastic? Justify your answer. (6) (3.3) Explain in detail which data are relevant in order to build a meaningful simulation model for this system. How can the data be obtained? (5) (3.4) Briefly explain how the simulation model can be used by the station manager to check the service being offered at the train station. (3)