多失效模式混联生产线生产率估算

Production Rate Estimation of Seriesparallel Production Line with Multiple Failure Modes

摘要:

针对存在多失效模式的混联生产线生产率估算问题，综合考虑机器的时间相关失效（TDF）和操作相关失效（ODF），分析了机器正常加工、TDF、ODF和TDF&ODF四种状态，建立了各状态间转移关系.基于连续时间马尔可夫链模型，以两工作站单缓冲区生产单元为基础，结合生产线近似分解法及并行机器等效法，提出了一种多失效模式下混联生产线生产率估算方法.最后，通过多个算例的仿真对比及某生产线实例，验证了本文方法的准确性与高效性.

关键词:生产率估算; 混联生产线; 多失效模式; 马尔可夫链

Abstract:

An analytical model was proposed to estimate the production rate of seriesparallel production line. Each machine has both operation dependent failure (ODF) and time dependent failure (TDF). Machine states include operation, ODF, TDF and ODF&TDF. First, the machine states space and transition relations were defined. The twoworkstation line performance evaluation method was established based on discrete state Markov chain, and this method was used as a building block of the decomposition method. The whole line production rate was estimated through iterative calculation of the decomposition method. In order to improve the efficiency, a set of parallel machines were replaced with an equivalent machine. Several numerical examples and an actual production line case were carried out to demonstrate the accuracy and efficiency of the proposed method.

Key words:production rate estimation; seriesparallel production lines; multiple failure modes; Markov chain