一类随机完工时间二阶矩的表示方法

Approach to expressing the second moment with a class of stochastic completion time

给出一种运用机器的工作时间、故障时间和工件的加工时间的分布特征表示在一台具有Birge所定义的序列随机故障的机器上加工一个中断-重复型工件的完工时间的二阶矩的方法,并通过举例说明所建立的表示在风险分析与决策优化方面的应用.

This work presents an approach to expressing the second moment of the completion time with a socalled preempt-repeat model job processed on a machine subject to the sequence stochastic breakdowns described by Birge through some distribution characters of the uptime, downtime and processing time. As a by-product, we also develope two examples to show the applications of the obtained expressions in the risk analysis and optimal decision of the related problems.