Q1 Diner by Coffee Break Queue Problem Consider the flow of customers through Diner by Coffee Break Suppose that two different types of customers arrive at Diner: set menu customers and a la carte customers. There are two separate areas for getting food: set menu area and a la carte area. Assume that each area has its own independent queue (eg all la carte customers wait in the same queue). Both queues operate according to FIFO (first-in first-out) discipline. Only one customer can get food at a particular time in a particular area leg an a la carte customer needs to wait for the preceding customer to get done in the a la carte area before she gets her food). After the customers get their food, they move to one of the two payment lines. A customer can join any of the lines (queues). However, they always prefer the one with lower number of customers in it. If there is a tie, then they randomly choose a line. There are two cashiers at the end of the first payment line. A customer in this line can be served by any one of the available cashiers. On the other hand, there exists a single cashier at the end of the second line. The system is empty and the resources are idle at time o. Customer 1 (the first set menu customer) arrives at time 0. Customer 5 (the first a la carte customer) arrives at time 5. The following table shows the interarrival and service times (in seconds). For example, the time between the arrivals of Customer 1 and Customer 2 (the first and second set menu customers) 20 seconds. The time between the arrivals of Customer 5 and Customer 6 (the first and second la carte customers) is 15 seconds Interarrival Time Set Menu Customers 1 2 3 4 Food Getting Duration 45 SO 40 45 20 25 10 Payment Duration 15 20 20 alsis lalala la carte customers Interarrival Time Payment Duration 5 6 7 8 Food Getting Duration 75 60 100 SO 15 20 25 45 60 40 35 a) List all the primary events. b) List all the necessary attributes. c) Run the simulation for 3 hours. Construct the simulation table (including event calendar and the required statistic accumulators) for 3 hours. Please keep only the required statistics (see part d). d) What is the average waiting time of customers (average over all customers is needed)? Show all your work Q2- Diner by Coffee Break Queue Problem ARENA Draw the Arena model and explain each step. Please consider Q1 settings