JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech IV Year II Semester RELIABILITY ENGINEERING Previous Question Paper (July - 2023 - R16)

Demonstrate the causes and effect of hazard rate in maintainability.

Find the probability of a 4 turning up at least once in two tosses of a fair die.

How would you compare Event tree and reduced event tree methods?

A system consists of 10 identical components, all of which must work for system success. What is the system reliability if each component has a reliability of 0.95?

A fair coin is tossed 500 times. Find the probability that the number of heads will not differ from 250 by i) More than 10, ii) more than 30.

What is partially redundant system?

How would you explain the concept of STPM?

How would you describe the Markov process one component repairable system?

Using frequency balance approach, derive the expressions for frequency of encountering states in two component repairable model.

What are the Applications of Cutset Approach?

State the difference between reliability and quality.

A data sample is taken from a number of pieces of equipment. Eight times-to-failure were recorded: 215, 44.2, 71.2, 87.1, 105.4, 142.1, 162.1, 180.1 and 197.1 hr. Fit a Weibull distribution and evaluate the shape parameter β and the scale parameter α. Estimate the reliability for a mission of 100 hr.

One bag contains 4 white and 2 black balls; another contains 3 white and 5 black balls. If one ball is drawn from each, find: i) Both white, ii) Both black, iii) One white and one black.

The distribution function for X is F(x) = 1 - e^-2x for x>=0. Find: i) Density function, ii) P(X>2), iii) P(-3 < X ≤ 4).

Find system reliability for serial and parallel configuration with 2 components.

Define cut-set. Evaluate a general expression for system reliability using cut-set method (each component reliability 0.99).

A system has three components in parallel with reliabilities 0.20, 0.40, 0.50 (400 hrs). Calculate percentage increase in reliability.

Define tie-set. Evaluate the unreliability of the given system using tie-set method (each component reliability 0.99).

Define Hazard function and derive the relation between R(t), h(t) and f(t).

A parallel system with n=2 components, failure rate λ = 0.01 and mission time T = 10 hours. Determine total reliability.

How would you describe the time dependent probability evaluation using Laplace transform approach?

Hazard rate function λ(t)=0.003(t/500)^0.5. Calculate: i) R(50), ii) Design life for R=0.90, iii) MTTF, iv) Conditional probability of survival for second 50 hours.

How would you describe the stochastic state transitional probability matrix of a three state system?

Compute markov analysis of availability model for two component stand by system.

How would you explain the absorbing states with one example?

For the provided state space diagram, write the transition intensity matrix ‘T’ and derive the steady state probabilities and state frequencies.

Using frequency balance approach, derive the expressions for frequency of encountering states in Two component repairable model.

A pumping station has two identical pumps in parallel (3000 gal/hr each). Failure rate 0.5f/hr and repair rate 4r/hr. Evaluate frequency of encountering and duration of residing in each state.

Explain the network reduction/solution techniques used in approximate system reliability evaluation.

Calculate the reliability of the bridge Network using Minimal Cut Set method (each component reliability 0.9).