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" During finals week, students arrive randomly at the help desk of the computer lab. There...

" During finals week, students arrive randomly at the help desk of the computer lab. There is only one technician due to budget cuts, and the time required to provide service varies from student to student. The average arrival rate is 15 students per hour, and the average service rate is 20 students per hour. Assuming standard waiting line distribution parameters hold, The technician claims he is always busy. What % of the time is he actually busy? " (the answer is not .25)

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Answer #1

Arrival rate, = 15 students per hour

Service rate, = 20 students per hour

Aap per standard waiting line distribution, arrival rate is poision distributed and service time is exponentially distributed.

There is one technician, considering these characteristics, it is a M/M/1 queue system

Percentage of time that the technician is busy =

= 15/20

= 0.75

= 75 %

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