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This mock test of Test: Queuing Theory - 1 for Mechanical Engineering helps you for every Mechanical Engineering entrance exam.
This contains 10 Multiple Choice Questions for Mechanical Engineering Test: Queuing Theory - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

In queuing theory, the ratio of mean arrival rate and the mean service rate is called

Solution:

QUESTION: 2

Queuing theory is applied best is situations where

Solution:

QUESTION: 3

In a queuing problem, if the arrivals are completely random, then the probability distribution of number of arrivals in a given time follows

Solution:

**Correct Answer :- C**

**Explanation :** Number of arrivals per unit time is estimated by the Poisson's distribution.

QUESTION: 4

If the number of arrival in a queue follows the poisson distribution, then the inter-arrival time obeys which one of the following distribution?

Solution:

QUESTION: 5

The arrival rate and the service time are usually assumed to respectively follow the

Solution:

**Correct Answer :- d**

**Explanation : **The arrival rate and the service time are usually assumed to respectively follow the binomial distribution and normal distribution.

QUESTION: 6

In a single server queuing model, the arrival rate is A, and the service rate is μ. What is the probability of system being idle?

Solution:

QUESTION: 7

In a single server queuing with arrival rate of λ and mean service time of μ, the expected number of customers in the system is

What is the expected waiting time per customer in the system?

Solution:

Expected waiting time for the customer

QUESTION: 8

On an average, there are 30 customers in a queue. If the arrival rate of customers into the system is 16 customers per hour and on average 32 customers leave the system per hour, then the average number of customers in the system is

Solution:

QUESTION: 9

A repair shop is manned by a single worker. Customers arrive at the rate of 30 per hour. Time required to provide service is exponentially distributed with mean of 100 seconds. What is the mean waiting time of a customer, needing repair facility in the queue?

Solution:

λ = 30 per hour

QUESTION: 10

In the Kendall’s notation for representing queuing models the first position represents

Solution:

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