老化试验和维修计划的联合优化模型研究

For some engineering design and manufacturing applications, particularly for evolving and new technologies, populations of manufactured components can be heterogeneous and consist of several sub-populations. The co-existence of n subpopulations is particularly common in devices when the manufacturing process is still maturing or highly variable. New models are developed and demonstrated to simultaneously determine burn-in and maintenance policies for populations composed of distinct subpopulations subject to stochastic degradation. Unlike traditional burn-in procedures that stress devices to failure, we present a decision rule that uses burn-in threshold on cumulative deterioration, in addition to burn-in time, to eliminate weak subpopulations. Only devices with post-burn-in deterioration levels below the burn-in threshold are released for field operations. Inspection errors are considered when screening burned-in devices. Maintenance actions are employed to prevent failures from occuring during field operation. We examine the effectiveness of such integrated burn-in and maintenance polycies for non-homogeneous populations. Numerical examples are provided to illustrate the proposed procedure. Sensitivity analysis is performed to analyze the impacts of model parameters on optimal policies. Numerical results indicate there are potential cost savings from simutaneouly determining burn-in and maintenance policies as opposed to a traditional approach that makes decisions on burn-in and maintenance actions separately.

本项目的研究工作以高科技新产品为研究对象，建立适用于多个子群体的连续性随机性能退化通用模型，以提高产品可靠性和降低与可靠性相关的运作成本为目标，对老化试验和维修计划进行联合优化。本项目的理论意义在于：为异质多子群体共存的产品提供了基于物理失效机理的混合退化模型框架，利用老化试验和维修策略之间的关系进行更为先进有效的全局优化，为保障高技术新产品可靠性提供了效率更高的建模方法，促进了可靠性技术与新兴技术的同步全发展。本项目的研究的实践意义在于：为有待进一步成熟的高新技术产品生产制造过程中存在多个子群体、良莠不齐的难题提供了新的解决途径，满足了高新技术产品快速商业化的需求，为合理的制定老化试验和维修策略提供决策支持，保障产品可靠性，降低成本，提高顾客满意度。

本项目的研究工作以高科技新产品为研究对象，建立适用于多个子群体的连续性随机性能退化通用模型，以提高产品可靠性和降低与可靠性相关的运作成本为目标，对老 化试验和维修计划进行联合优化。本项目为异质多子群体共存的产品提供 了基于物理失效机理的混合退化模型框架，利用老化试验和维修策略之间的关系进行更为先 进有效的全局优化，为保障高技术新产品可靠性提供了效率更高的建模方法，促进了可靠性 技术与新兴技术的同步全发展。本项目的研究更为有待进一步成熟的高新技 术产品生产制造过程中存在多个子群体、良莠不齐的难题提供了新的解决途径，满足了高新 技术产品快速商业化的需求，为合理的制定老化试验和维修策略提供决策支持，保障产品可 靠性，降低成本，提高顾客满意度。