Reliability modeling of repairable systems using interval valued universal generating function

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2017-06
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G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand)
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In this thesis authoress studied following two different models: (1) Reliability assessment of repairable parallel-series multi state system applying interval valued universal generating function. (2) Reliability evaluation of repairable weighted (u, v)-out-of-(x, y) system using interval valued universal generating function. Both models involve a comprehensive analysis of the systems using interval-valued universal generating function incorporating different types of uncertainties which have been removed by using probability intervals. In the first model, we have considered a repairable multi-state parallel-series system having two different uncertainties namely Aleatory and epistemic uncertainty. Probability intervals have been used to deal with these uncertainties. The failure rates ( ijk l ) and repair rates ( ijk m ) are taken in interval numbers. Using Laplace-Steiltjes transform probability intervals have been calculated. By using these probabilities, reliability, MTTF and sensitivity of the proposed system have been computed. In the second model, repairable weighted (u, v)-out-of-(x, y) system consisting of 6 components with two types of uncertainties has been studied. In this model different weights have been assigned to the components to evaluate the reliability and sensitivity of the system with the help of same methods as applied in model-1.
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