Reliability and Availability Evaluation of Large Renewal Systems

The paper proposes an approach to the solution of practically important problem of linking the asymptotic approach to reliability of large systems evaluation and the asymptotic approach to availability characteristics evaluation of renewal systems. This approach simplifies the traditional methods of availability investigation of large renewal systems and gives practically important in everyday usage tool for reliability and availability evaluation of the large renewal systems in the case when the system renovation time is either ignored or it is not ignored. Firstly, the series-parallel multi-state system is considered and its reliability and risk characteristics are found. Next, asymptotic approach to reliability evaluation of the multi-state series-parallel system is introduced and linked with limit theorems of classical renewal theory. This join model is constructed for the system with ignored and non-ignored time of renovation. Finally, the asymptotic approach to reliability and availability evaluation of such a renewal system is applied to the port grain transportation system