6 results for “Repairable system”

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Research ArticleOpen accessPhrase in the titleA Repairable System with N Failure Modes and K Standby Units Using Separation of Variable MethodKh. M. El-Said, N. A. AginaThis study deals with a repairable system with N failure modes and K standby unit. Using separation of variable method by solving linear ordinary differential equation for system equations obtained by using the supplementary variable method. …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,107 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleCost Analysis of K-Out of-n Repairable System with Dependent Failure and Stand by Support Using Kolmogorov's Forward Equations MethodM. Y. HaggagProblem statement: Many authors have studied k-out of-n repairable system with dependent failure and standby support. The question was raised whether the repair and standby units support increase the reliability of the system. Determine the efficiency of repair and standby support on the reliability of the system. Approach: In this study the statistical analysis of k-out of-n repairable system with … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,598 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleAsymptotic Confidence Limits for a Repairable System with Standbys Subject to Switching FailuresJau-Chuan Ke, Ssu-Lang LeeThis paper studies system performance measures and asymptotic confidence limits for the mean time to failure, steady-state availability, steady-state failure frequency of a repairable system which two primary units, two standby units, and one repair facility when switching to standbys may fail. …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 6,922 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsNonparametric Analysis on System Availability: Confidence Bound and Power FunctionJau-Chuan Ke, Yunn-Kuang ChuIn this study we consider the steady-state availability, denoted A, of a system with distribution-free failure and repair time. In particular, we are interested in constructing a lower confidence bound and a testing framework for A. We first show that the natural estimator Â of A, defined as the ratio of the failure time sample mean to the sum of … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,692 accessesView PDF Cite

Research ArticleOpen accessIn the abstractCost Analysis of a System Involving Common-Cause Failures and Preventive MaintenanceM.Y. HaggagProblem statement: Many authors have studied the cost analysis of a two-unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system involving common-cause failures and preventive maintenance. Question was raised whether the preventive maintenance would be effective on the reliability and performance of the system. Determine the efficacy … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,606 accessesView PDF Cite

Research ArticleOpen accessIn the abstractStochastic Behavior of Redundant Complex System with Two Types of FailureG. S. Mokaddis, M. Salah EL-Sherbeny, Entesar Al-EsayehProblem statement: This study presented the reliability and Mean Time To System Failure (MTTF) analysis of a two-state complex with repairable system, consisting of two sub-systems A and B arranged in series, incorporating the concept of hardware and human failures. The failure times of operating units and repair time of failed units were exponential distributed. Approach: Markov-renewal processes and properties … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 7,100 accessesView PDF Cite