A Markov model is considered to calculate the steady state availability of a system which may adopt several stages of degradation and is subject to random failures at each stage of degradation. Minimal maintenance and partial repairs restore the system to the previous degraded stage and to the...

Considerable work has been done to investigate the sensitivity of explosive materials. Various methods are developed for determining statistically the “explosion characteristics”. Any statistical method is based on a stochastic model and, clearly, an inappropriate model yields generally...

Process control by means of a p-chart or np-chart becomes almost impossible, if the quality level of the process in question is very good. However, if the quality characteristic is measurable then by narrowing the given tolerance limits and using accordingly changed gauges one can easily control...

One widely used control chart, the -chart, is based on the assumption that means of samples drawn from the process are normally distributed. When the normality assumption is not valid, control chart users may choose from several different courses of action. These include using Box-Cox power...

A non-homogeneous Markov model is used to obtain closed form solutions of the state probabilities and the reliability of M modules in series where each module has N m components in parallel. The components have exponential time-varying failure rates which depend on the module. If the failure...

In this paper we provide a method of finding exact designs for single sample acceptance sampling plans. The method uses an algorithm that allows determination of plans based on the hypergeometric, binomial or Poisson distributions. Designs can be found for specified OC curves of either Type A or...

Statistical process control is a major part of industrial statistics and consists not only of control charting, but also of capability analysis, of design of experiments and other statistical techniques. This paper reviews and comments some available techniques for the univariate as well as for...

This paper introduces a new designing methodology for Tightened Normal-Tightened (TNT) sampling schemes, indexed by an entry parameter called the crossover point (COP). The significance of the COP and the properties of the Operating Characteristic (OC) with respect to it are studied and the...