Coolen [1] presented lower and upper probabilities for prediction of Bernoulli random quantities, which have strong internal consistency properties within the theory of interval probability. These lower and upper probabilities followed from an assumed underlying latent variable model, with future outcomes of random quantities related to data by Hill’s assumption A(n) [3], and they are part of a...

The main goal in this paper is to propose an optimization model for determining the structure of a series-parallel system. Regarding the previous studies in series-parallel systems, the main contribution of this study is to expand the redundancy allocation parallel to systems that have repairable components. The considered optimization model has two objectives: maximizing the system mean time t...

This paper investigates the use of redundancy and self repairing against node failures indistributed storage systems using a novel non-MDS erasure code. In replication method, accessto one replication node is adequate to reconstruct a lost node, while in MDS erasure codedsystems which are optimal in terms of redundancy-reliability tradeoff, a single node failure isrepaired after recovering the ...

Previous research on the redundancy allocation problem for series-parallel systems has focused on deterministic versions where component reliability is assumed to be an exact value. This paper discusses alternative formulations which allow system reliability and mean time to failure to be treated as random variables. Stochastic formulations allow for explicit consideration of risk aversion, and...

Reliability optimization plays an important role in design, operation and management of the industrial systems. System reliability can be easily enhanced by improving the reliability of unreliable components and/or by using redundant configuration with subsystems/components in parallel. Redundancy Allocation Problem (RAP) was studied in this research. A mixed integer programming model was propo...

Long-life space cryocooler applications, such as NASA's Atmospheric Infrared Sounder (AIRS) instrument, require that the cryocooler system possess a very high level of reliability. This need for high reliability not only demands that high reliability coolers be used, but often requires that some form of redundancy be incorporated. One common implementation is standby redundancy; however, active...

This thesis provides a new method for statistical inference on system reliability on the basis of limited information resulting from component testing. This method is called Nonparametric Predictive Inference (NPI). We present NPI for system reliability, in particular NPI for k-out-of-m systems, and for systems that consist of multiple k-out-of-m subsystems in series configuration. The algorith...

Reliability has been considered as an important design measure in industry. The design of a system involves in general numerous discrete choices among available component types based on reliability, cost, performance, weight, etc. If the design objective is to maximize reliability for a certain cost requirement, then a strategy is required to identify the optimal combination of components and/o...