Question: Given the multi-server queueing system for discrete-event simulation with 2 servers (sequentially - server1 then server2). Customers have 2 types, type1 customers goes to server1,

Given the multi-server queueing system for

Given the multi-server queueing system for discrete-event simulation with 2 servers (sequentially - server1 then server2). Customers have 2 types, type1 customers goes to server1, then server. While type2 customers only goes to server2. Both servers and both types of customers join the corresponding queue (in FIFO manner), when customers find the server busy. Customer Type A (minute) Sl (minute) S2 (minue) 1 2 5 2 1 2 7 1.5 3 1 10 5 2 4 2 3 5 1 2 6.5 2.5 6 2 3 7 2 7 8 1 1 4 1 9 1 4 6 0.5 3.5 3 2 5.5 Type is the type of customer (1 or 2), A is an interarrival time, S1 is a service time in server1, and S2 is a service time in server2. If Tk is the total times during simulation where the length of the queue is k (the way to calculate Tk for queue1 & queue2 is the same). Simulate the system & calculate the average delay time of customers in each queue (queue1 & queue2 separately), the average length of each queue during simulation, and the utilization of the system

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