The computer lab at State University has a help desk to assist students working on computer spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help. Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. a) What is the average time a student is in the lab? b) What is the average number of students in the lab? c) What is the average number of students waiting to receive service? d) What is the average time a student is in the queue? e) What is the probability that there are no students at the computer lab?
The computer lab at State University has a help desk to assist students working on computer spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help. Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. a) What is the average time a student is in the lab? b) What is the average number of students in the lab? c) What is the average number of students waiting to receive service? d) What is the average time a student is in the queue? e) What is the probability that there are no students at the computer lab?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The computer lab at State University has a help desk to assist students working on computer
spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help.
Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at
the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is
appropriate for the arrival rate and service times are exponentially distributed.
a) What is the average time a student is in the lab?
b) What is the average number of students in the lab?
c) What is the average number of students waiting to receive service?
d) What is the average time a student is in the queue?
e) What is the probability that there are no students at the computer lab?
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