International Society of Science and Applied Technologies |
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Extended Optimal Replacement Policy Based on Cumulative Damage for a Two-Unit System Subject to Shocks | ||||
Author | Shey-Huei Sheu
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Co-Author(s) | Tzu-Hsin Liu; Zhe-George Zhang; Hsin-Nan Tsai
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Abstract | This article examines the extended optimal replacement policy for a system consisting of two major units (A and B), which is subject to two types of shocks that arrive according to a non-homogeneous Poisson process. A type I shock causes a unit A minor failure and is removed by a minimal repair. On the other hand, a type II shock will cause a complete system failure and is rectified by a corrective replacement. The probability of a type II shock is permitted to depend on the number of shocks suffered since the last replacement. Each unit A minor failure results in an amount of damage to unit B. These damages to unit B can be accumulated to a specified level of the complete system failure. Furthermore, unit B with a cumulative damage of level z may become minor failed with probability ϖ(Z) at each unit A minor failure and is removed by a minimal repair. This paper proposes a more general replacement policy where the system is replaced at age T, or the Nth type I shock, or the first type II shock, or when the total damage to unit B exceeds a pre-determined level K, whichever occurs first.
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Keywords | Optimal maintenance; minimal repair; Cumulative damage model; Shock model; Replacement policy | |||
Article #: 23-160 |
August 3-5, 2017 - Chicago, Illinois, U.S.A. |