摘要
研究了一个考虑产品故障率的排队系统,在该模型中假设发现产品有质量问题时立即进行维修,且维修时间服从负指数分布。利用该系统对单阶段的装配或加工过程进行建模。应用马尔可夫过程的状态空间方法和全概率分解技术,得到了该系统的稳态队长分布、平均等待时间和平均逗留时间。提出了一个多目标优化的问题,利用评价函数法对模型的参数进行优化,得到了产品在生产线上最短生产提前期、最少加工成本和最少维修成本的优化方案。
This paper develops a queuing system considering failure rate of products. The system is used to construct models for single-stage assemblies. The total probability decomposition method and Markov process method are employed to obtain the queue length distribution and the mean waiting time. The evaluation function method is applied to multi-objective optimal control, which leads to minimized average lead time, maintenance cost and total operation cost.
出处
《工业工程》
2008年第5期70-72,85,共4页
Industrial Engineering Journal
基金
国家自然科学基金资助项目(70572044)
关键词
产品故障率
排队系统
多目标优化
生产提前期
failure rate of product
queuing system
multi-objective optimal control
lead time
