Download or read book Confidence Interval Estimation of the Reliability of Multicomponent Systems Using Component Test Data written by Jerome Richard Johnson and published by . This book was released on 1969 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is developed for the construction of confidence intervals for a general class of functions of binomial parameters called system reliability functions. These system reliability functions express the reliability of a multicomponent system as a function of the reliabilities of the components of the system. The method derived uses the exact multivariate binomial distribution of component test data. The problem is formulated as a general mathematical programming problem and numerical methods are developed for the solution of the problem. The method is applied to several specific systems and detailed computational procedures are developed for each. The method derived is compared with other currently available methods for constructing confidence intervals for system reliability based on component test data and the results of this comparison indicates the possibility of obtaining and appreciable reduction in the average length of confidence intervals for a given sample size and confidence coefficient by the use of the method of this report. The use of these confidence intervals for the construction of statistical tests of hypotheses concerning system reliability is also discussed. (Author).

Download or read book Evaluating the Confidence Interval for the Reliability of General Multicomponent Systems written by Larry J. Massa and published by . This book was released on 1970 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combining of components (e.g., diodes, transistors, semiconductors, etc.) into a complex system has presented the problem of estimating the reliability of the entire system with some specified degree of confidence. Various exact and approximate methods exist for very special cases. This paper, however, reviews some of the current simulation procedures and presents a method for solving the more difficult general problem. Three forms of data input are considered. (1) Point estimates of the parameters of the assumed underlying distributions for the component failures may be made from sample data (examples are given for the binomial and exponential distributions). (2) The lower or upper reliability limit (with appropriate confidence level) may be specified for each component with no information about the sample results. (3) A subjective assessment of a prior distribution of component failure times may be given along with (1) above. A Monte Carlo simulation technique, can take any combination of these three types of data input and compute an estimate of the reliability of a simple or complex system with a relatively small error. (Author).

Download or read book U S Government Research Development Reports written by and published by . This book was released on 1970 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Naval Research Logistics Quarterly written by and published by . This book was released on 1970 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reliability Estimation for Multi component Systems written by James R. Kniss and published by . This book was released on 1966 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: A system for obtaining point estimates and confidence interval estimates for very complex multi-component systems has been developed. This method was developed specifically to be used to estimate reliabilities of nuclear warheads where the redundancy of circuits and components complicate normal procedures of reliability estimation. However, the system is highly adaptable to any similar situation where access to high speed electronic computers is available. (Author).

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reliability Demonstration of a Multi component Weibull System Under Zero failure Assumption written by Markus W. Kemmner and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation is focused on finding lower confidence limits for the reliability of systems consisting of Wei bull components when the reliability demonstration testing (RDT) is conducted with zero failures. The usual methods for the parameter estimation of the underlying reliability functions like maximum likelihood estimator (MLE) or mean squares estimator (MSE) cannot be applied if the test data contains no failures. For single items there exists a methodology to calculate the lower confidence limit (LCL) of reliability for a certain confidence level. But there is no comparable method for systems. This dissertation provides a literature review on specific topics within the wide area of reliability engineering. Based on this and additional research work, a first theorem for the LCL of system reliability of systems with Weibull components is formulated. It can be applied if testing is conducted with zero observed failures. This theorem is unique in that it allows for different Wei bull shape parameters for components in the system. The model can also be applied if each component has been exposed to different test durations. This can result from accelerated life testing (AL T) with test procedures that have different acceleration factors for the various failure modes or components respectively. A second theorem for Ex -lifetime, derived from the first theorem, has been formulated as well. The first theorem on LCL of system reliability is firstly proven for systems with two components only. In the following the proof is extended towards the general case of n components. There is no limitation on the number of components n. The proof of the second theorem on Bx - lifetime is based on the first proof and utilizes the relation between Bx and reliability. The proven theorem is integrated into a model to analyze the sensitivity of the estimation of the Wei bull shape parameter p. This model is also applicable if the Weibull parameter is subject to either total uncertainty or of uncertainty within a defined range. The proven theorems can be utilized as the core of various models to optimize RDT plans in a way that the targets for the validation can be achieved most efficiently. The optimization can be conducted with respect to reliability, Bx -lifetime or validation cost. The respective optimization models are mixed-integer and highly non-linear and therefore very difficult to solve. Within this research work the software package LINGOtm was utilized to solve the models. There is a proposal included of how to implement the optimization models for RDT testing into the reliability process in order to iteratively optimize the RDT program based on failures occurred or changing boundary conditions and premises. The dissertation closes with the presentation of a methodology for the consideration of information about the customer usage for certain segments such as market share, annual mileage or component specific stress level for each segment. This methodology can be combined with the optimization models for RDT plans.

Download or read book Approximate Interval Estimation Methods for the Reliability of Systems Using Discrete Component Data written by Edmundo F. Bellini and published by . This book was released on 1990 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three lower confidence interval estimation procedures for system reliability of coherent systems with cyclic components are developed and their accuracy evaluated by Monte Carlo methods. Each method uses estimates of the ratios of component unreliabilities and the Poisson approximation to the binomial distribution to obtain the equation for the lower confidence limit. This is an extension of a method previously reported in the literature which has been shown to be fairly robust. The procedures developed here can be combined with similar procedures already developed for systems with continuous components. The combined procedure may yield a reasonably accurate lower confidence interval procedure for the reliability of coherent systems with mixtures of continuous and cyclic components.

Download or read book Research Paper written by and published by . This book was released on 1975 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Confidence Limits for System Reliability Based on Component Test Data written by Oscar Albert Bernhoff (LT COL, USAF.) and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reliability Abstracts and Technical Reviews written by and published by . This book was released on 1967 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Index written by and published by . This book was released on 1975 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1970 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reliability written by Wallace R. Blischke and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together business and engineering to reliability analysisWith manufactured products exploding in numbers and complexity,reliability studies play an increasingly critical role throughout aproduct's entire life cycle-from design to post-sale support.Reliability: Modeling, Prediction, and Optimization presents aremarkably broad framework for the analysis of the technical andcommercial aspects of product reliability, integrating concepts andmethodologies from such diverse areas as engineering, materialsscience, statistics, probability, operations research, andmanagement. Written in plain language by two highly respectedexperts in the field, this practical work provides engineers,operations managers, and applied statisticians with bothqualitative and quantitative tools for solving a variety ofcomplex, real-world reliability problems. A wealth of examples andcase studies accompanies: * Comprehensive coverage of assessment, prediction, and improvementat each stage of a product's life cycle * Clear explanations of modeling and analysis for hardware rangingfrom a single part to whole systems * Thorough coverage of test design and statistical analysis ofreliability data * A special chapter on software reliability * Coverage of effective management of reliability, product support,testing, pricing, and related topics * Lists of sources for technical information, data, and computerprograms * Hundreds of graphs, charts, and tables, as well as over 500references * PowerPoint slides are available from the Wiley editorialdepartment.

Download or read book Reliability in the Acquisitions Process written by Douglas J. DePriest and published by . This book was released on 1983 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximate Interval Estimation Methods for the Reliability of Systems Using Component Data with Exponential and Weibull Distributions written by Hyeon-Soo LEE and published by . This book was released on 1989 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two approximate parametric interval estimation methods for reliability using component test data are developed and evaluated. One method can be applied to any coherent system with components which have exponential failure times with possibly different failure rates and different mission operating times. This method estimates the ratios of component failure rates which are then used to develop the approximate lower confidence limit. These ratio estimates are developed with and without jackknife methods and the two results are compared. This procedure is very accurate and simple to compute, requiring the use of standard chi-squared tables. This ratio method is subsequently extended to coherent systems with components whose failure times have a Weibull distribution. A nearly exact parametric lower confidence limit for P(X>x) is developed and evaluated where x is given and X has a normal distribution with unknown mean and variance. This procedure is also simple to evaluate and requires the use of Student t tables. Keywords: Theses; Reliability; Jackknife; Confidence limit; Exponential; Weibull-Newton-Raphson. (kr).

Download or read book Journal of systems science and mathematical sciences written by and published by . This book was released on 1984 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: