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Test: Queuing Theory - 2 - Mechanical Engineering MCQ


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10 Questions MCQ Test Topicwise Question Bank for Mechanical Engineering - Test: Queuing Theory - 2

Test: Queuing Theory - 2 for Mechanical Engineering 2024 is part of Topicwise Question Bank for Mechanical Engineering preparation. The Test: Queuing Theory - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Queuing Theory - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Queuing Theory - 2 below.
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Test: Queuing Theory - 2 - Question 1

Queuing theory is used for

Test: Queuing Theory - 2 - Question 2

The cost of providing service in a queuing system increases with

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Test: Queuing Theory - 2 - Question 3

Queuing theory is associated with

Test: Queuing Theory - 2 - Question 4

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

Detailed Solution for Test: Queuing Theory - 2 - Question 4

Number of arrival in queuing problem follow poisson distribution.

Test: Queuing Theory - 2 - Question 5

Length of the System (Ls) in queuing is equal to

Test: Queuing Theory - 2 - Question 6

Queue Length (Lq) in queuing is equal to

Test: Queuing Theory - 2 - Question 7

In a M/M/1 queue, the service rate is

Detailed Solution for Test: Queuing Theory - 2 - Question 7

Correct Answer :- a

Explanation : Arrivals occur at rate λ according to a Poisson process and move the process from state i to i + 1. Service times have an exponential distribution with rate parameter μ in the M/M/1 queue, where 1/μ is the mean service time.

Test: Queuing Theory - 2 - Question 8

Patients arrive at a doctor’s clinic according to the Poisson distribution. Check up time by the doctor follows an exponential distribution. If on an average, 9 patients/hr. arrive at the clinic and the doctor takes on an average 5 minutes to check a patient, the number of patients in the queue will be

Test: Queuing Theory - 2 - Question 9

Consider a single server queuing model with Poisson arrivals (λ = 4/hour) and exponential service (μ = 4/hour). The number in the system is restricted to a maximum of 10. The probability that a person who comes in leaves without joining the queue is

Detailed Solution for Test: Queuing Theory - 2 - Question 9


Probability that a person who comes in leaves without joining the queue i.e.

Test: Queuing Theory - 2 - Question 10

The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight customers per hour. The reservation clerk at this counter at this counter takes six minutes per customer on an average with an exponentially distributed service time. The average number of the customers in the queue will be

Detailed Solution for Test: Queuing Theory - 2 - Question 10

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