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AE-JE (ME) II Industrial Engineering Quiz-6

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Question 1

For a M/M/1/∞/∞/FCFS queue model, the mean arrival rate is equal to 10 per hour and the mean service rate is 15 per hour. The expected queue length is

Question 2

In queuing theory with multiple servers, the nature of the waiting situation can be studied and analyzed mathematically, if

Question 3

Consider the following statements:
In a single-server queueing model
1). the arrivals is a memoryless process
2). the arrivals is described as a Poisson distribution
3). uncertainty concerning the demand for service exists.
Which of the above statements are correct __________?

Question 4

The Kendall notation (a/b/cd/e/f) is used for the queuing system. In this notation ‘’e’’ stands for:

Question 5

Which among the following represents components of a Queuing System?

Question 6

An operations consultant for an automatic car wash wishes to plan for enough capacity to handle 92 cars per hour. Each car will have a wash time of 4 minutes, but there is to be a 25% allowance for setup time, delays and payment transactions. How many car wash stalls should be installed?

Question 7

In waiting line problems if the arrivals are completely random, then the probability distribution of number of arrivals in a given time follows a/an

Question 8

A self-service store employs one cashier at its counter. 8 customers arrive on an average every 5 minutes, whereas cashier can serve 10 customers in same time. Assuming Poisson distribution for service rate, the average time a customer spends in the queue will be

Question 9

In a single server queuing system with arrival rate of ‘λ’ and mean service time of ‘μ’ the expected number of customers in the system is Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image124.png What is the expected waiting time per customer in the system ________?

Question 10

Which of the following distributions is followed by the number of arrivals in a given time in a single-server queueing model?
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Mar 9AE & JE Exams