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Q1) Customers for lunch arrive into a restaurant at Exponential rate of 10 per hour for seated service and at Exponential rate of 15 per hour for buffet. Restaurant has only these two kinds of service.
Seated customers enter a line where they wait, if necessary, for a table in the seated customer area which is separate from the buffet seating area. You can assume unlimited seating area in both the seated customer area and the buffet customer area. Seated customers are served by one of the three waiters on a first come, first serve basis (note that only one waiter is required per customer but there are three waiters). Ordering takes a Normal 4 minutes, standard deviation 1 minute. Food preparation time is Normal 9 minutes, standard deviation 3 minutes. Orders are prepared one at a time by one of two cooks (only one cook needed per order) dedicated to seated customers only. The food is served by any of the available waiters (not necessarily the original waiter) which take a constant 4 minutes. The customer eats the food in a Normal 23 minutes, standard deviation of 5 minutes after which they proceed to the checkout to pay.
The buffet customers do not have a waiter since all food, drinks and condiments are self serve. Buffet customers take a Normal 40 minutes, standard deviation 10 minutes to complete the process after which they proceed to the checkout area. The checkout area has one cashier and serves both types of customers. Check out takes an Poisson 4.1 minutes to complete. Customers exit the restaurant after checkout. Place variable displays (grey boxes) of the counted number of each type of customer that has completed service (i.e. paid the cashier).
Simulate this problem for 8 hours using minutes as the basic time units.
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