JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisite

Mathematics

Course Objectives

to prepare students to

• comprehend the concept of Reliability and Unreliability
• Derive the expressions for probability of failure, Expected value and standard deviation of Binominal distribution, Poisson distribution, normal distribution and weibull distributions.
• formulate expressions for Reliability analysis of series-parallel and Non-series parallel systems
• derive expressions for Time dependent and Limiting State Probabilities using Markov models.

Course Outcomes

Upon the completion of this course, the student will be able to

• Apply fundamental knowledge of Reliability to modeling and analysis of series- parallel and Non-series parallel systems.
• Solve some practical problems related
• Understand or become aware of various failures, causes of failures and remedies for failures in practical systems.

UNIT - I

RELIABILITY AND PROBABILITY: Rules for combining probabilities of events, Definition of Reliability. Significance of the terms appearing in the definition. Probability distributions: Random variables, probability density and distribution functions. Mathematical expectation, Binominal distribution, Poisson distribution, normal distribution, exponential distribution weibull distribution.

UNIT - II

HAZARD RATE: Derivation of the reliability function in terms of the hazard rate. Failures: Causes of failures, types of failures (early failures, chance failures and wear-out failures). Bath tub curve. Preventive and corrective maintenance. Modes of failure. Measures of reliability: mean time to failure and mean time between failures.

UNIT - III

CLASSIFICATION OF ENGINEERING SYSTEMS: series, parallel and series-parallel systems- Expressions for the reliability of the basic configurations. Reliability evaluation of Non-series-parallel configurations: Decomposition, Path based and cutest based methods, Deduction of the Paths and cut- sets from Event tree.

UNIT - IV

DISCRETE MARKOV CHAINS: General modeling concepts, stochastic transitional probability matrix, time dependent probability evaluation and limiting state probability evaluation of one component repairable model. Absorbing states. Continuous Markov Processes: Modeling concepts, State space diagrams, Stochastic Transitional Probability Matrix, Evaluating time dependent and limiting state Probabilities of one component repairable model. Evaluation of limiting state probabilities of two component repairable model.

UNIT - V

FREQUENCY AND DURATION TECHNIQUES: Frequency and duration concepts, application to multi state problems, Frequency balance approach. Approximate System Reliability Evaluation: Series systems – Parallel systems- Network reduction techniques- Cut set approach- Common mode failures modeling and evaluation techniques- Examples.

R19 M.TECH M. TECH. PE/PEED

TEXT BOOKS:

• 1. “Reliability evaluation of Engineering systems”, Roy Billinton and Ronald N Allan, BS Publications.
• 2. “Reliability Engineering”, Elsayed A. Elsayed, Prentice Hall Publications.

REFERENCES:

• 1. “Reliability Engineering: Theory and Practice”, By Alessandro Birolini, Springer Publications.
• 2. “An Introduction to Reliability and Maintainability Engineering”, Charles Ebeling, TMH Publications.
• 3. “Reliability Engineering”, E. Balaguruswamy, TMH Publications. R19 M.TECH M. TECH. PE/PEED M. TECH – II YEAR – I SEM. (PE/PEED)