Design and Inspection Policy for Redundant Systems Using Information of Warranty

Abstract

This paper considers the problem of determining the optimal number of redundant units in redundant systems with random unit failures and warranty. Parallel and k out of n systems are considered. The optimal number of redundant units which minimize the expected cost rate is found and the number is shown to be finite and unique. For given inspection interval before expiration of warranty, the optimal number of redundant units is also obtained. The effects of inspection and the warranty to the optimal number of redundant units are studied.