International Society of Science and Applied Technologies |
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Extended Optimal Replacement Policy for a Two-Unit System under Cumulative Damage Model | ||||
Author | Shey-Huei Sheu
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Co-Author(s) | Tzu-Hsin Liu; Zhe-George Zhang
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Abstract | In this article, we consider a system consisting of two major units (A and B), which is subject to two types of shocks that occur according to a non-homogeneous Poisson process. The probabilities of these two shock types are agedependent. Each type I shock causes a minor failure of unit A, which also results in an amount of damage to unit B. The damages to unit B are accumulated to trigger a preventive replacement or a corrective replacement action. In addition, a minor failure for unit B with cumulative damage of z will occur with probability π(z) at a unit A failure instant. A type II shock is a major one and the system is replaced at its occurrence. We consider a more general replacement policy where the system is replaced at age T, or at the time which the total damage to unit B exceeds a pre-specified level Z (but less than the failure level K) or at any type II shock or when the total damage to unit B exceeding a failure level K, whichever occurs first. The expected cost per unit time is formulated by introducing relative costs.
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Keywords | Cumulative damage model; Optimization; Shock model; Replacement policy | |||
Article #: 20124 |
August 7-9, 2014 - Seattle, Washington, U.S.A. |