Prof. Shey-Huei Sheu | 徐世輝教授

Department of Business Administration, Asia University, Taiwan

Title: Optimal Replacement Policy based on cumulative damage for a Two-unit System

Abstract: The extended optimal replacement policy for a two-unit system subject to two types of shock is investigated in this paper. A type I shock, rectified by a minimal repair, causes a minor failure of unit A, and type II shock results in a complete system failure that is removed by a corrective replacement. The probability of type II shock is permitted to depend on the number of shocks from the last replacement. Each unit A minor failure also suffers some damage to unit B. These damages to unit B are additive, and the system fails when the total damage has exceeded a failure level K. Unit B also may become minor failed with a random probability. This paper proposes a more general replacement policy which prescribes that the system is preventively replaced at the Nth type I shock or when the total damage to unit B exceeds a pre-specified level Z (<K) or is replaced correctively either at the first type II shock or when the total damage to unit B exceeds a failure level K, whichever occurs first.