In practice, the assumption of failure independence between components is seldom valid, especially for those complex systems with complicated failure mechanism. Users can decide whether to purchase extended warranty (EW) at the end of basic warranty, and there are many factors that influence this decision, such as product reliability and EW price. In order to solve the problem of EW pricing for multi-component systems with failure interaction reasonably, considering the failure interaction characteristics between components of the multi-component systems, under the condition of type II failure interaction, this paper constructed a dependent failure rate model and developed a EW cost model of two-component systems. Thus, after optimizing the preventive maintenance (PM) strategy, this paper obtained the optimal PM interval when EW cost is the lowest, which is a win-win strategy to reduce the EW price for manufacturers and users under the premise of ensuring the manufacturer's profit demand. Finally, the validity of the model was verified by a numerical example and sensitivity analysis for important parameters was presented.

中文翻译：

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具有故障交互作用的多组件产品的扩展保修成本的优化

在实践中，组件之间故障独立性的假设很少成立，特别是对于那些具有复杂故障机制的复杂系统。用户可以在基本保修期结束后决定是否购买扩展保修（EW），并且有很多因素会影响此决定，例如产品可靠性和EW价格。为了合理解决具有故障交互作用的多组件系统的电子战定价问题，考虑了多组件系统各组件之间的故障交互特性，在II类故障交互条件下，构建了一个相关的故障率模型。并开发了一个由两部分组成的系统的电子战成本模型。因此，在优化预防性维护（PM）策略之后，本文在EW成本最低的情况下获得了最佳的PM间隔，这是在确保制造商的利润需求的前提下降低制造商和用户的电子战价格的双赢策略。最后，通过数值算例验证了模型的有效性，并对重要参数进行了敏感性分析。