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ESE 2021 ME Technical Quiz || Queuing Theory
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Question 1
At a bank counter, customers arrive according to Poisson’s distribution at a rate of 14 customers per hour. The staff at this counter takes 3 minutes per customer on an average with an exponential distribution. The mean waiting time of queue in minutes is.
Question 2
For a single with Poisson arrival and exponential service time, the arrival rate is 12 per hour. Which one of the following service rates will provide a steady state finite queue length?
Question 3
A washing machine repairman finds that the time spent on his jobs has an exponential distribution with mean 20 minutes. If he repairs machines in order in which they came in, and if the arrival of machines is approximately Poisson with an average rate of 15 per 8-hour day. How many jobs are there into the repairman shop?
Question 4
In a single-channel queuing model, the customer arrival rate is 12 per hour and the waiting time in queue is 2.5 minute. The proportion of time that a server actually spends with customers is
Question 5
Service time in queuing theory is usually assumed to follow
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May 29ESE & GATE ME
