TL;DR: In this article, an attempt is made to explore the statistical characteristics and properties of the Bernstein model, and its applications in some areas of engineering science are pointed out, but no attempt has so far been made to comprehensively investigate the statistical properties and characteristics of the model.

TL;DR: In this paper, the lognormal distribution is used as a suitable descriptor for corrective maintenance repair times and the error caused in assuming an exponential distribution for availability and maintainability calculations when in fact the distribution is Lognormal.

TL;DR: In this article, a method of fault tree synthesis based on decomposing the plant into a set of control loops and which yields fault trees which do have a clear structure is presented.

TL;DR: In this paper, the importance of human error in structural engineering reliability assessments is reviewed and some recent research results on human errors in simple design tasks given are considered, such as table-look-up, calculation and ranking of numbers.

TL;DR: In this paper, a study carried out into the identification of faults in three-phase squirrel cage induction motors was carried out and the reasons for monitoring vibration, current and stray flux signals in a unified approach were presented and a fault producing test rig and computer-based signal processing system were described.

TL;DR: In this paper, the fault-tree construction algorithm was tested with a real control system and was found to be generally good (with minor discrepancies) for proportional controllers, but somewhat lacking if integral control action is used.

TL;DR: In this article, the authors discuss the problem of the quantitative treatment of common-cause failures in systems analysis and present a method for estimating a common cause parameter for a simple-parametric model based on making judgements about the potential of particular failure mechanisms for causing multiple failures on a case-by-case basis.

TL;DR: This paper is a first attempt to clarify some of the confusion in multistate extensions to the concept of coherent systems due to differing and often poorly justified definitions.

TL;DR: In this paper, the authors present an overview of the three reliability investigations of a 900 MWe reactor residual heat removal system, and the main procedures used in operational reliability analysis, based on the analysis of occurence records, are covered.

TL;DR: In this paper, a cost-benefit analysis for a single-server two-unit system subject to arbitrary failure, inspection and repair is presented, where the service facility is called for whenever (i) a unit fails, (ii) the system fails and is retained until no unit is waiting for service.

TL;DR: In this article, the authors discuss the principles of relay systems and describe techniques that have been developed in order to evaluate the reliability of the relay devices and also discuss the principle of monitoring and self-checking within the relay to reduce the probability of an undetected dormant failure.

TL;DR: In this paper, a Bayesian procedure for drawing inferences from random data is proposed, which allows the modelling uncertainty, concerning the choice of distribution type, and the statistical uncertainty concerning the distribution parameter estimates, to be considered alongside the underlying physical uncertainty when drawing the inferences.

TL;DR: The multiple dependent failure fraction (MDFF) method is a generalization of the beta factor (BF) method, and is extended here to derive reliability expressions for several multiple redundant systems as mentioned in this paper.

TL;DR: In this article, the core uncovery time in TMI-type accidents, i.e. small loss of coolant accidents due to stuck open power-operated relief values, is calculated.

TL;DR: A technique utilizing the reachability concept of Petri nets for the enumeration of all the trees in a graph using only vector additions on a single matrix alleviates the computational effort.

TL;DR: In this paper, fundamental relations for the reliability, availability and other failure and repair characteristics of components with multiple failed states are derived for the probabilistic risk assessment and reliability analyses of complex components.

TL;DR: In this article, it is shown that the unconditional failure rates in classical reliability theory have the same meaning as the outcrossing rates in structural reliability so that both approaches can be unified.

TL;DR: In this paper, a machine with a protection device which is inspected at predetermined "check times" is considered, and two expected costs are derived using the usual calculus method of probability, when the failure time of the device is exponential.

TL;DR: In this paper, the one-sided upper confidence limit of the probability of failure Pf = Prob (R≤S) is established for the case when both the strength, R, and stress, S, follow normal distributions.

TL;DR: In this paper, the authors consider a system consisting of two modules, one of which cannot be easily inspected, while the other is monitored continuously, and derive expressions for the joint distribution of time to first repair and time between first and second repairs.

TL;DR: In this article, the probability of failure of a system of two or three redundant components is defined as the failure of all components for the duration of a given finite time T. The implications of this condition of failure duration are discussed.

TL;DR: In this article, the authors generalized the definition of the cumulative distribution by using Lebesgue integration, which allows the introduction of the shortest confidence interval (or domain) for all cases.

TL;DR: In this article, a new distribution-free method is proposed for reliability demonstration tests, which is based on the distribution free formula for the upper bound of the probability of failure derived in previous papers.

TL;DR: This paper shall discuss and compare three analytical methods, a bottom-up and a top-down algorithm, and a simulative method by which the minimal cut sets of a given fault tree can be computed.

TL;DR: In this paper, a two-stage application of Bayes' theorem to information which is grouped by type is presented. And the first and second information types are coupled in the first application of BOW to derive a probability distribution for population performance.

TL;DR: In this article, the authors present British Gas Corporation's experience of gas compressor reliability growth to date and show the methods which are used to evaluate operational trends, such as cumulative sum chart technique has been applied for the given reasons.

TL;DR: In this article, it is shown that the distribution functions G(a) which yield the second asymptotic distribution of the largest value can be promising models for flaw size distributions.

TL;DR: In this paper, it is argued that risk analysis of this type does not improve decision taking in the area of public safety, and that if the techniques are developed to give results which are generally accepted as meaningful, then the overall decision-making process must be adapted to ensure that the results are properly weighed against other factors.