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Visualize how the line evolves during time. Assume you are at the airport, waiti

ID: 638538 • Letter: V

Question

Visualize how the line evolves during time.

Assume you are at the airport, waiting for the security check. There is one line (which is a FIFO queue), and 5 security check gates. Each person reaching in front of the queue is checked by the first available security gate. Each security check gate has its pace of handling passengers, as follows: gate #1, 1 person/minute, gates #2 and #3, 2 persons/minute, and gates #4 and #5, 3 persons/minute. Assume that initially there are 20 people in the line and each minute other 10 people are coming to the line. Show the evolution of the line in the first 10 minutes. For this, use a queue to model the line, add the initial passengers (give them names Passenger1, Passenger2,

Explanation / Answer

Assume you are at the airport, waiting for the security check. There is one line (which is a FIFO queue), and 5 security check gates. Each person reaching in front of the queue is checked by the first available security gate. Each security check gate has its pace of handling passengers, as follows: gate #1, 1 person/minute, gates #2 and #3, 2 persons/minute, and gates #4 and #5, 3 persons/minute. Assume that initially there are 20 people in the line; moreover, each minute other 10 people are coming to the line. Show the evolution of the line in the first 10 minutes. For this, use a queue to model the line, add the initial passengers (give them names Passenger1, Passenger2,