Reserve ability of parallel system with failed elements

The aim of the analysis is to define for a system with parallel elements conditions at which the failure of one or several elements does not cause immediate failure of the whole system. The critical number of failed elements of such a system is assessed based on the strength probability properties of its structural elements. The condition of the catastrophic failure of the whole system is defined by the shape and scale parameters of the strength probability function and the number of parallel elements. The proposed probabilistic model allows estimating the ability of the parallel systems to continue operation when some of its elements are broken.