遭受外部冲击的随机检测模型  

Random Inspection Model Subject to External Shocks

作　　者：梁小林[1] 李泽慧[1] 

机构地区：[1]兰州大学数学与统计学院

出　　处：《湖南大学学报（自然科学版）》2008年第2期66-69,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10471057);教育部高等学校博士学科点专项科研基金资助项目(20050730002)

摘　　要：根据更新过程理论,建立了遭受随机冲击的检测模型,研究了模型的可用度与长期运行平均价格.在假设检测间隔形成一个Poisson过程时,通过最小化长期运行平均价格得到了模型的最优检测策略.结果表明,对受到外部冲击的系统,随机检测模型要优于以往讨论的模型.另外,利用随机的思想来讨论系统的性能指标,为这类问题的研究提供了新的方法.According to renewal process theory, a random inspection model subject to external shock was established, and the availability and the long-run average cost per unit time were investigated. Assuming that the intervals between inspection times formed a Poisson process, the optimal inspection policy of the model was obtained by mining the long-run average cost per unit time. The results have shown that the random inspection model is superior to the existing model for the system subject to external shocks. Furthermore, the function of the system was discussed by introducing the random idea, and it has provided a new method for the study of this kind of problems.

关 键 词：可用度 检测 单位时间长期平均价格 更新过程 

分 类 号：TP207[自动化与计算机技术—检测技术与自动化装置] O213.2[自动化与计算机技术—控制科学与工程]