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中文摘要：
延迟模型是针对飞机结构的故障特点，通过优化飞机结构的维修活动，以达到维修成本最优化的一种有效方法。基于现有的延迟模型都是建立在无限时间跨度假设上的不足，提出和建立了有限时问跨度上的飞机结构不完备检测延迟模型。模型中考虑了飞机结构维修中存在不完备检测、检测门槛值和重复检测间隔等情况，使得延迟模型更加符合飞机结构维修的实际情况。针对模型的复杂性，采用非齐次泊松过程方法研究两次检测之间的更新概率，并采用Nelder—Mead单纯形法对模型进行了优化求解，最后，通过数值算例，验证了模型的合理性和有效性。
英文摘要：
According to the failure characteristics of aircraft structure, a delay-time model is an effective method to optimize maintenance for aircraft structure. To imitate the practical situation as much as possible, imperfect inspections, thresholds and repeated intervals are concerned in delay-time models. Since the suggestion by the existing delay-time models that the inspections are implemented in an infinite time span lacks practical value, a de- lay-time model with imperfect inspection within a finite time span is proposed. In the model, the nonhomogenous Poisson process is adopted to obtain the renewal probabilities between two different successive inspections on de- fects or failures. An algorithm is applied based on the Nelder-Mead downhill simplex method to solve the model. Finally, a numerical example proves the validity and effectiveness of the model.
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