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GATE 2019: Industrial Engineering Quiz 7 (App update required to attempt this test)

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Question 1

At a certain CNC machine, jobs arrive according to Poisson’s distribution at a rate of 25 jobs per hour. The worker at this machine loads 5 jobs at a time and unloads them after 10 mins. The loading and unloading follows an exponential distribution. The expected queue length is.

Question 2

Arrivals at telephone both are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The length of phone calls is assumed to be distributed exponentially with a mean of 3 minutes.
The average length of queue that is formed from time to time is

Question 3

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 4

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 5

A shopkeeper serve 5 customer/hour and remain idle during 30% of time. The average waiting time of customer in the system is ____ minutes.

Question 6

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

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ESE & GATE ME Industrial Engineering

Feb 4ESE & GATE ME