针对生产过程输出质量特性服从正态分布的单部件延迟时间生产系统,研究了预防维修策略和X-bar控制图联合经济设计问题.首先,在将延迟时间系统界定为受控、失控、故障3种结果状态基本内容前提下,根据维修时系统可能存在的实际状态和控制图监测结果关系,分析构建了生产系统维修方式和控制图监测的耦合机制;在此基础上,以期望单位时间最小成本为目标,以系统维修成本、产品质量抽检成本、不合格品的生产费用、维修停机生产损失为考虑成本内容,利用更新过程理论建立了生产系统预防维修策略和X-bar控制图联合决策数学模型;然后基于数值仿真示例,利用遗传算法对模型的求解进行了分析验证.实例分析结果表明,文章模型可行有效.最后,利用部分因子试验设计方法对模型参数进行了敏感性分析.

In this paper, a joint economic model on preventive maintenance policy and X-bar control chart is developed for one unit delay-time production system. Based on analysis of system statues, a running coupling mechanism between maintenance policies and control chart is presented, and a joint economic mathematical decision model on preventive maintenance policies and X-bar control chart is deduced to find the minimization average cost per unit time. In the model, cost of maintenance, sampling inspection, reject and loss production are taken into account. The genetic algorithm is used to search for the optimal values of the model parameters by a numerical example. The results of a case indicate that the model is feasible and effective. Finally, a sensitivity analysis for model parameters is conducted by using fractional factorial experiment design.