In this paper, Bayesian prediction bounds are obtained for the future observations from the Burr type X distribution in the presence of outliers. Numerical examples are used to illustrate the procedure.
Detailed results and analysis are given of several electrical parameters measured, at room temperature, at intervals during electromigration stress of Al 4% Cu specimens. The trends of the resistance, second harmonic and electrical noise changes are good indicators of the degradation until near the end of the life when the specimen becomes very variable in its properties
In the original interconnected system reliability model the system state space consists of a set of all n-tuples X = (x 1 , x 2 , , x l ,x l+1 , , x n ) where x 1 , x 2 ,x 3 , , x l are generation capacities andx l+1 , , x n are intertie capacities. Corresponding to each load state...
A versatile failure model is being developed in the present article and its various properties are discussed. The model belongs to the exponential family. For illustration, numerical data are presented which fit the model.
Posbist reliability theory is based on the possibility assumption and the binary-state assumption. In this paper we discuss posbist reliability behaviour of fault-tolerant systems, including cold redundant systems and warm redundant systems. In each type of fault-tolerant systems, the conversion switchs may behave in different ways, such as absolutely reliable, non-absolutely reliable with 0-1 mode,...
This paper discusses the optimal replacement of a discrete Markovian deteriorative system which is subject to random shocks from its environment. Besides the inherent deterioration, the system is deteriorated by the shocks. For the discounted finite and infinite horizon and average objectives, we prove the existence of optimal stationary policies which are extended control limit policies. And under...
We propose some network reduction techniques applicable to the structures which could not be handled by the existing polygon-to-chain reduction techniques. The relationship is derived between the reliabilities of the original graph and the reduced graphs. The efficiency of these techniques is shown through the several numerical examples.
This paper describes the outcome of a study into the feasibility of a reliability circuit simulator for ICs in general and the critical parameters involved in particular. The necessary conditions are formulated that have to be fulfilled before any construction of the reliability simulator is meaningful or can be done at all. It has been found that failure mechanisms in the wear-out regime meet these...
This paper investigates the least upper bounds (LUB) and greatest lower bounds (GLB) for the reliability of two-unit parallel and standby reparable systems. The bounds are in terms of the failure and repair rates of a unit, when the distributions of failure and repair times are assumed to be negative exponential.
When integers are raised to various powers, the resulting numbers exhibit some remarkable patterns in various digits. Although there are some regularities for even powers of integers, these are not of great value in practice. Odd powers, on the other hand, may be useful in random number generation and cryptography. This study extends the findings of Sherif and Dear which recently appeared in this...
In this paper a new method is presented to compute two-sided bounds for time-dependent availability of repairable series systems by arbitrary distributed time to failure and time to repair. The method allows to consider the systems with large number of units and does not take much computational times. It shows examples of the availability forms for the different systems.
This paper considers the following selective-repeat ARQ (automatic-repeat-request) policy which is mainly used in a data communication system: We transmit a block of data successively to a receiver. A negative (NAK) or positive (ACK) acknowledgement is returned from a receiver, depending on whether errors of data have occurred or not. When we have received NAK, we retransmit the erroneous block,...
Bayesian analysis combines the prior belief about the lifetime parameters with the experimental data. The present study develops Bayes estimates for the pointwise and interval availability of a system with constant failure and repair rates. Type I censored failure and repair information has been used in the estimation.
The paper deals with the pointwise availability, steady state availability, MTTF and variance of the time to failure of 3 state, 1-out-of-2 unit systems with cold standby, under common cause and human failures. The cost function analysis is also done to get the expected gain over the time. Several graphs are presented to interpret the results.
The exponential distribution plays an important role in life testing problems. In this paper, we discuss the selection of an efficient estimator of its expected value in the presence of two outlying observations with higher expected value. An iterative procedure for the estimation of the mean is provided and the method is illustrated through an example.
The present paper studies the transient and steady state behaviour of a first-come-first-served, single channel queueing problem with server on vacation providing service intermittently. Laplace transforms of explicit queue length probabilities are obtained by solving the difference equations recursively. Particular cases of interest are also derived.
In this study, non-parametric distributions of the reliability functions of some basic system configurations which are useful for making inferences about the reliability characteristics of the system are given.
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