Syllabus
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Course Code: ST-403 & ST-404 Course Name: (ii) Reliability and Renewal Theory |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Concept of reliability , early age failures, wear out failures and chance failures. Derivation of general reliability function failure rate, failure density function and mean time between failures ( MTBF). System reliability evaluation: series system, parallel system, partially redundant system, standby system with perfect switching / imperfect switching. Effect of spare components (identical / non- identical) on the system reliability. |
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| 2 | Wear out and Component reliability, Combined effect of wear out and chance failures. Reliability of a two component system with single repair facility. Reliability evaluation Techniques : Conditional probability approach , cut set method, approximation evaluation, Deducing the minimal cut sets. Tie set method , connection matrix technique. | |
| 3 | Availability and Reliability evaluation in Repairable system, evaluation of time dependent probabilities with single repairable component, two repairable components.Evaluating limiting state probabilities with single repairable component, two identical repairable components Matrix multiplication method: reliability evaluation in repairable system, mean time to failure.Stochastic transitional probability matrix method to evaluate MTTF of two components parallel system, two component series system. | |
| 4 | General Introduction. The distribution of the number of renewals: The asymptotic distribution of N. The asymptotic normality of Ntwith mean t/µ and variance t/ µ3 The number of renewals in a random time, the renewal function , the asymptotic form of the renewal function. The renewal density, variance of the number of renewals.Backward and forward recurrence times.Limiting distribution of recurrence times. | |
