Concept explainers
a)
To determine: The percentage utilization of the graduate student.
a)
Explanation of Solution
Given information:
It is given that the arrival rate is 4 per hour and the service time is 10 minutes.
Determine the percentage utilization of the graduate student (use model 1):
Hence, the utilization of the graduate student is 66.7%.
b)
To determine: The average number of students in the system.
b)
Explanation of Solution
Given information:
It is given that the arrival rate is 4 per hour and the service time is 10 minutes.
Determine the average number of students in the system (use model 1):
Hence, the average number of students in the system is 2 students.
c)
To determine: The average time in the system.
c)
Explanation of Solution
Given information:
It is given that the arrival rate is 4 per hour and the service time is 10 minutes.
Determine the average time in the system (use model 1):
Hence, the average time in the system is 30 minutes.
d)
To determine: The probability that there will be four or more students in the line.
d)
Explanation of Solution
Given information:
It is given that the arrival rate is 4 per hour and the service time is 10 minutes.
Determine the probability that there will be four or more students in the system (use model 1):
Hence, the probability that there will be four or more students in the line is 0.1976.
e)
To determine: The average number of students in the line if the arrival rate is increased to 6 per hour.
e)
Explanation of Solution
Given information:
It is given that the arrival rate is 4 per hour and the service time is 10 minutes.
Determine the average number of students in the line if the arrival rate is increased to 6 per hour (use model 1):
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