The research method of convex optimization for recoverable spare parts with considering false alarm rate

When false alarm being occurrence non-failure product could be misdiagnose and sent to spare parts requirements so that spare parts demand rate could be overestimate, so if false alarm rate was introduced to correct the requirement the demand rate would be made more accurate. The fact is proven which demand process is still stationary when false alarm rate is constant and PALM theory is still applicable. According to the Multi-Echelon Technique for Recoverable Item Control (METRIC) a function relationship between demand numbers and the expectation of backorders(EBO) is established under consideration of false alarm rate. Spare part purchase cost and wait time is integrated to establish optimization target function marked as EBO, and the optimization target function convexity is analyzed. Convex optimization algorithm is developed which focus on system false alarm and cost-efficiency balance. Finally a airplane spare part optimization case is constructed, it can be concluded that the proposed spare part optimization methodology can enhance system efficiency under false alarm condition.