A Three-Component Redundancy Problem

A way of solving for the probabilities of various states of a redundant system with three components is shown. The failure rate of each component is a constant but the repair function is arbitrary. The method of solving the integral equations is by using Laplace-Stieltjes transforms.     

The Reliability of Coherent Structures

Nine complex systems are described in this note, and formulae for the existing number of paths and system success are quoted for each system. A table of comparisons is included for various values of component reliability, which is assumed identical for each subsystem within a given structure.     

Bayesian Analysis of the Gamma Distribution Model in Reliability Estimation

Bayesian analysis of a 2-parameter gamma distribution model in a life testing context is considered with special emphasis on estimation of the reliability function; estimation of the scale parameter involved is implicit. The discussion is limited to a simple random sampling scheme.     

A Time-Dependent Complex System With Preemptive Priority Repairs

A repair system is analyzed that has three kinds of components, each with a different repair priority. Type 1 is essential to system operation and has the highest priority of repair; there is only one such component. Type 2 is nonessential (its failure degrades the system) and has an intermediate priority of repair. Type 3 is similar to type 2 except that it has the lowest priority of repair. There are many types 2 and 3 components. The differential equations for system state probabilities are solved by Laplace transforms, but only in implicit form.