stochastic dependency

Today, degradation analysis is one of the most important approaches in evaluating the reliability of multi-component systems. As it is clear, improving the performance of real systems requires the use of efficient and predictable approaches to analyze degradation with considering the interaction of system degradation processes on each other. The literature review shows that degradation analysis of multi-component systems has been investigated in various researches, but the approach in which there is a profile relationship between the degradation processes of the system components has not been considered so far. When there is a functional relationship between the degradation processes of one or more components, it is called a profile in the statistical process control literature. The aim of this study is to provide an efficient approach to predict and evaluate the variability of degradation processes in the presence of multivariate profiles under the conditions of stochastic dependence. In fact, the proposed approach offers the possibility of predicting and evaluating the variability of degradation processes at the component and system level. In this paper, in order to evaluate the proposed approach, the data set of a multi-component system with a structure of 2 out of 3 has been used. The results show the effectiveness of the proposed approach.

Selective maintenance is of crucial importance in the multi-state systems because of the necessity of running consecutive missions with a limited break. This paper presents a novel approach based on Game Theory for the problem of selective maintenance in the case of multi-state systems under the influence of stochastic dependency. Because of the priority of customer’s opinion in today’s world, the Stackelberg model is used in order to show the interaction between the customer and workshop. In this model, first, the customer, as the leader, introduce the suggested contract containing the level of system reliability for maximizing desirability. Consequently, the workshop, as the follower, determines costs based on details of the proposed contract. Numerical examples are studied the model performance, and the sensitivity analysis of results about the key parameters of the model is probed.