Stress-strength reliability models under incomplete information

A new approach to compute structural reliability is proposed. The novelty of the approach is that initial statistical information concerning the stress and strength of engineered structures is partial. Different numerous cases of state of knowledge about the stress and strength are analysed. A set of canonical analytical expressions for computing imprecise structural reliability has been obtained, and a few examples are presented. The reliability models developed are generalisations of conventional one

A reliability model of multi-state units under partial information

The paper describes an approach to utilise partial reliability knowledge at a finite number of time instances of a multi-state unit and extending this knowledge to reliability characteristics of interest and time instance of interest. Properly stated optimisation problems allow computing the reliability characteristics without having to compute transition probabilities