Customers follow a Poisson process with arriving rate 6 per hour to arrive at a service center. The service time in minutes follows a continuous uniform distribution [4,16]. Suppose that the center is idle at time 0. Using the following random number sequence to determine the arriving time of the first three customers: 0.22, 0.35, 0.51. Using the following random number sequence to determine the service time of the first three customers: 0.94, 0.87, 0.55. When you evaluate the inter-arrival times and service times, if a computation result is not a whole number of minutes, round it to 1 decimal. a) What is the departure time of the third customer? b) In the period from time 0 to the time of the third customer's departure time, what is the percentage of idle time? c) What is the average waiting time of the first three customers in the waiting queue in the center?
Customers follow a Poisson process with arriving rate 6 per hour to arrive at a service center. The service time in minutes follows a continuous uniform distribution [4,16].
Suppose that the center is idle at time 0. Using the following random number sequence to determine the arriving time of the first three customers: 0.22, 0.35, 0.51.
Using the following random number sequence to determine the service time of the first three customers: 0.94, 0.87, 0.55.
When you evaluate the inter-arrival times and service times, if a computation result is not a whole number of minutes, round it to 1 decimal.
a) What is the departure time of the third customer?
b) In the period from time 0 to the time of the third customer's departure time, what is the percentage of idle time?
c) What is the average waiting time of the first three customers in the waiting queue in the center?
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