{"title":"Statistical Reliability Based Modeling of Series and Parallel Operating Systems using Extreme Value Theory","authors":"Mohamad Mahdavi, Mojtaba Mahdavi","country":null,"institution":"","volume":55,"journal":"International Journal of Industrial and Manufacturing Engineering","pagesStart":1359,"pagesEnd":1364,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/7254","abstract":"This paper tries to represent a new method for\r\ncomputing the reliability of a system which is arranged in series or\r\nparallel model. In this method we estimate life distribution function\r\nof whole structure using the asymptotic Extreme Value (EV)\r\ndistribution of Type I, or Gumbel theory. We use EV distribution in\r\nminimal mode, for estimate the life distribution function of series\r\nstructure and maximal mode for parallel system. All parameters also\r\nare estimated by Moments method. Reliability function and failure\r\n(hazard) rate and p-th percentile point of each function are\r\ndetermined. Other important indexes such as Mean Time to Failure\r\n(MTTF), Mean Time to repair (MTTR), for non-repairable and\r\nrenewal systems in both of series and parallel structure will be\r\ncomputed.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 55, 2011"}