Problem 2: Simulating the Service System at a Bank (using Arena) (50 points) In this quesiton, you will setup and conduct a simulation in Arena. The problem is that of simulating service at a bank. There are two different types of customers arriving at a bank, with inter-arrival times distributed as follows: Inter-arrival time for Type 1 customer: EXPO(5) (in minutes) Inter-arrival time for Type 1 customer: EXPO(20) (in minutes) Both types of customers come to the front desk to declare the service they need. There is only one front desk, with only one receptionist available Only one customer can be served by a receptionist at each time The service time: TRIA(1,2,3) (in minutes) Then, customers will be sent to different windows based on their type. Service time at the window for Type 1 customer: TRIA(2,5,10) (in minutes) Service time at the window for Type 2 customer: TRIA(10,15,20) (in minutes) Each customer will be served by a staff working at their corresponding window Only 1 staff is available at the window for Type 1 customers Staffs working at the window for Type 2 customers are available based on the following schedule 1 for the first 5 hours - 2 for the next 2 hours - 1 for the rest of the hours in that day The bank opens for 10 hours a day. You will run 10 replications. Here are the questions: 1. Please draw a Block diagram for the system. 2. Build an ARENA model and use different entity pictures for different types of customers. 3. What is the average queuing time at each process? 4. What is the average number waiting in the queue at each process? 5. Record the average time of each type of customer spent in the system. 6. Do you have any recommendation to the bank? Why? Problem 2: Simulating the Service System at a Bank (using Arena) (50 points) In this quesiton, you will setup and conduct a simulation in Arena. The problem is that of simulating service at a bank. There are two different types of customers arriving at a bank, with inter-arrival times distributed as follows: Inter-arrival time for Type 1 customer: EXPO(5) (in minutes) Inter-arrival time for Type 1 customer: EXPO(20) (in minutes) Both types of customers come to the front desk to declare the service they need. There is only one front desk, with only one receptionist available Only one customer can be served by a receptionist at each time The service time: TRIA(1,2,3) (in minutes) Then, customers will be sent to different windows based on their type. Service time at the window for Type 1 customer: TRIA(2,5,10) (in minutes) Service time at the window for Type 2 customer: TRIA(10,15,20) (in minutes) Each customer will be served by a staff working at their corresponding window Only 1 staff is available at the window for Type 1 customers Staffs working at the window for Type 2 customers are available based on the following schedule 1 for the first 5 hours - 2 for the next 2 hours - 1 for the rest of the hours in that day The bank opens for 10 hours a day. You will run 10 replications. Here are the questions: 1. Please draw a Block diagram for the system. 2. Build an ARENA model and use different entity pictures for different types of customers. 3. What is the average queuing time at each process? 4. What is the average number waiting in the queue at each process? 5. Record the average time of each type of customer spent in the system. 6. Do you have any recommendation to the bank? Why