GATE ME 2014 Set 1 — Question 60
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Industrial Engineering → Operations Research → Queuing Models (M/M/1)
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Question
Jobs arrive at a facility at an average rate of 5 in an 8 hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is 40 minutes. The service time follows exponential distribution. Idle time (in hours) at the facility per shift will be
Correct answer
(B) 14/3
Solution
1.Determine Arrival Rate ():
.2.Determine Service Rate ():
Average service time = ..
3.Calculate Utilization Factor ():
.4.Calculate Probability of Idle Time ():
.5.Calculate Idle Time per Shift:
Idle time = .Correct option is (B).Continue learning with Success Tracker
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