摘要
主要利用补充变量的方法建立了由硬件和软件串联组成的计算机系统数学模型，其中硬件修复如新；软件进行周期性维修，修复后寿命逐渐减小，经过一段时间后对其进行大修使之恢复如新．在假设硬件和软件的寿命服从指数分布，而修理时间服从一般分布的条件下，运用G0-半群理论讨论了系统非负动态解的存在惟一性及渐近稳定性问题．
In this paper, using the supplementary variable method established a mathematical model of computer system, composed of hardware and software in series. Including that hardware is repaired to be as good as new, software is repaired periodically, and restored software life decreases, After a period of time, to overhaul to make it as a new unit. Under assumption that the life time of hardware and software follow exponential distribution, and repair time subjects to the general distribution. Discussing of the existence and uniqueness and asymptotic stability of non-negative dynamic solution of the system by using C0-semigroup theory.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第14期108-113,共6页
Mathematics in Practice and Theory
基金
大庆师范学院青年科学研究基金(08ZQ06)
黑龙江省教育厅科学技术研究项目(11553004)
关键词
可靠性
可修复系统
稳定性
动态解
稳态解
reliability
repairable system
stability
dynamic solution
steady-state solution
