Spares optimization under the influence of false alarm

When false alarm exists, spares would be misdiagnosed as failed ones and requirements for new spares would be sent to the repair site, the demand rate for spares will be overestimated. So it's necessary to introduce false alarm rate to make it more accurate. The formula was proved that when false alarm rate follows exponential distribution, the failed spares considering false alarm rate follows Poisson distribution. According to the multi-echelon inventory for repair spares control theory, the functional relation between demand rate considering false alarm rate and expected backorder (EBO) was founded. In the case of spares optimization, the objective function was convexly analyzed, and the convex algorithm facing system false alarm was set up with expected backorder being as performance measure, so that the selected inventory can improve the system efficient under the situation of false alarm being. Besides, the application case of airplanes was given out with the optimum spares configuration for comparison.