HAN Xiaoshuang,FANG Ming.A human-machine system with warning function and general failed system repair time distribution[J].Journal of Yanbian University,2014,40(02):142-145.
具有预警功能和可修复储备部件的人-机系统
- Title:
- A human-machine system with warning function and general failed system repair time distribution
- Keywords:
- warning system; stability; steady-state availability
- 分类号:
- O177.2
- 文献标志码:
- A
- 摘要:
- 在具有可修复储备部件的人-机系统基础上,增加一个预警状态,使其变为预警系统,利用线性算子半群理论证明了系统非负时间依赖解的存在唯一性、渐进稳定性和指数稳定性,最后通过数值计算得出在一定条件下预警系统与非预警系统的稳态可用度的相对误差趋近于0.
- Abstract:
- Based on a model representing human-machine system with general failed system repair time distribution, we added a warning state and make it into a system with warning function. We proved non-negative time-dependent existence and uniqueness, asymptotic stability and exponential stability of system solution by the linear operator semi-group theory. At last, by using numerical calculation, we concluded that, under certain condition, the steady-state availability’s relative error of warning system and non-warning system is tend to be zero.
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备注/Memo
收稿日期: 2013-10-13 基金项目: 延边大学自然科学基金资助项目(延大科合字2013第11号)作者简介: 韩筱爽(1979—),女,讲师,研究方向为微分方程、可靠性理论.