3. A service facility consists of two servers in series, each with its own first in,...

 

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3. A service facility consists of two servers in series, each with its own first in, first out (FIFO) queue. A customer completing service at server 1 proceeds to server 2, while a customer completing service at server 2 leaves the facility. There is a travel time from the exit of server 1 to the arrival to queue 2 (or to server 2). There is no limit to the number of customers who can be traveling from server 1 to server 2, and a customer can pass another customer while traveling between the servers. The simulation begins with a customer entering into service at server 1 at time T= 0. The following times in minutes are randomly generated. • Interarrival time: 0.4, 0.1, 2.6, 9.6, 4.9, 6.6, 5.8 Processing time at server 1:0.8, 1.6, 2.2, 4.1, 2.2, 10.7 • Processing time at server 2: 3.0, 7.5, 4.6, 2.1, 9.4, 7.6 Travel time between server 1 and server 2: 2.8, 3.6, 4.4, 3.7, 8.8, 8.9 Use these times to simulate the system stopping at the time that the 3rd customer leaves the facility. Calculate the average time in the service facility for the first three customers. The following event list may be helpful. The first row has been completed for you. Note: You will likely need to add additional columns. You should not need to use all of the randomly generated times. System state = (Status of server 1, Number in queue for server 1, Number in transit, Status of server 2, Number in queue for server 2, ach time when customer arrives to facility) Event: Event: one Event: Event: server customer n Tn arrival in server 1 2 arrives at facility finishes finishes server 2 0.0 (1,0,0,0,0,0.0) 0.4 0.8 3. A service facility consists of two servers in series, each with its own first in, first out (FIFO) queue. A customer completing service at server 1 proceeds to server 2, while a customer completing service at server 2 leaves the facility. There is a travel time from the exit of server 1 to the arrival to queue 2 (or to server 2). There is no limit to the number of customers who can be traveling from server 1 to server 2, and a customer can pass another customer while traveling between the servers. The simulation begins with a customer entering into service at server 1 at time T= 0. The following times in minutes are randomly generated. • Interarrival time: 0.4, 0.1, 2.6, 9.6, 4.9, 6.6, 5.8 Processing time at server 1:0.8, 1.6, 2.2, 4.1, 2.2, 10.7 • Processing time at server 2: 3.0, 7.5, 4.6, 2.1, 9.4, 7.6 Travel time between server 1 and server 2: 2.8, 3.6, 4.4, 3.7, 8.8, 8.9 Use these times to simulate the system stopping at the time that the 3rd customer leaves the facility. Calculate the average time in the service facility for the first three customers. The following event list may be helpful. The first row has been completed for you. Note: You will likely need to add additional columns. You should not need to use all of the randomly generated times. System state = (Status of server 1, Number in queue for server 1, Number in transit, Status of server 2, Number in queue for server 2, ach time when customer arrives to facility) Event: Event: one Event: Event: server customer n Tn arrival in server 1 2 arrives at facility finishes finishes server 2 0.0 (1,0,0,0,0,0.0) 0.4 0.8