“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 16937  


Abstract:  
This paper is concerned with the optimal number of redundant allocation to ncomponent coherent systems consist of heterogeneous dependent components. We assume that the system is built of L groups of different components, L ≥ 1, where there are n_{i} components in group i, and ∑_{i=1}^{L}n_{i}=n. The problem of interest is to allocate v_{i} active redundant components to each component of type i, i=1,..., L. To get the optimal values of v_{i}, we propose two costbased criteria. One of them is introduced based on the costs of renewing the failed components and the costs of refreshing the alive ones at the system failure time. The other criterion is proposed based on the costs of replacing the system at its failure time or at a predetermined time τ, whichever occurs first. The expressions for the proposed functions are derived using the mixture representation of the system reliability function based on the notion of survival signature. We assume that a given copula function models the dependency structure between the components. In the particular case that the system is a seriesparallel structure, we provide the formulas for the proposed costbased functions. The results are discussed numerically for some specific coherent systems.
Download TeX format 

back to top 