Anna University, Chennai Department of Computer Science Engineering ( Common to I.T) Fourth Semester MA Probability and Queueing. Subject Code: MA Subject Name: Probability and Queuing Theory Type: Question Bank Edition Details: Kings Edition Syllabus. MA — PROBABILITY AND QUEUEING THEORY (Regulation ). ( Common to Information Technology) Time: Three hours Answer ALL Questions PART.

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The service ms2262 is not following exponential distribution. In open Jackson networks, the arrivals from outside to the node i is allowed and once a customer gets the service completed at node ijoins the queue at node j with probability Pij or leaves the system with probability Pi0.

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Examination time per patient is exponential with a mean rate of 20 per hour. Find the value of k.

Define Chapman-Kolmogrov Equation The Chapman-Kolmogrov equation provides a method to compute the n-step transition probabilities. Define closed Jackson networks.

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Networks preserving the following characteristics are called Jackson networks. Find the probability that 11 particles are counted in 4 minutes.

Construct the Transition Probability Matrix. The doctor takes on the average 4 minutes for each phase of the check up and the time taken for each phase is exponentially distributed. If jobs arrive at a rate of 5 per hour and the time to complete each job varies according to an exponential distribution with mean 6 min. What are the differences between Markovian and non Markovian queueing model?

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If one of the regression coefficients is greater than unity then the ma2226 should be less than unity. The Markov chain is irreducible if all states communicate with each other at some time. Arriving customers have to join the queue if No.

Probability and Queueing Theory(question with answer)

Potential customers, who arrive when all 5 chairs are full, leave without entering shop. Probability and Queueing Theory Subject Code: It is a non Markovian queueing model.

Assume that the inter arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 minutes. Thus T is the random service time, which is a continuous random variable.

Given that B is a R. However if she buys B or C the next week she is 3 times as likely to buy A as the other cereal. The number of monthly breakdown of a computer is a r. What do you mean by traffic intensity? The basic characteristics of queueing system are Arrival time pattern, Service time pattern, Number of services channels, Capacity of the system, Service discipline.

If the power supplied to the factory is 12 million kilowatt hours, what is the probability that this power supply will be inadequate on any given day?

Let one copy of a magazine out of 10 copies bears a special prize following Geometric distribution, Determine its mean and variance. When do you say the Markov chain is regular? It is given that X be the daily water consumption of the locality in million litres and X follows gamma distribution with average stllabus 3 million litres.

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The source emits particles at the rate of 6 per minute. Find the average number of cars in the service station, the average number of cars waiting for service and the average time a car spends in the system.

Write down the moment generating function of Gamma distribution.

Probability and Queueing Theory(question with answer)

If the average service time is cut to 8. Joseph The Dreamer – christ connect church. Here Pij denote the one step transition probability.

If the arrivals of the patients at the clinic are approximately Poisson at the average rate of 3 per hour, what is the average time spent by a patient i in the examination ii waiting in the clinic? Probability and Queueing Theory 3 1 Subject Code: What is the probability that the average life time of a random sample of the appliances is atleast Pn1n2 represent the probability that there are n1 customers in station 1 and n2 customers in station 2.