基于软硬件特性的可修复计算机系统解的存在唯一性  

Based on the Software and Hardware Features the Existence and Uniqueness of the Solution of Repairable Computer System

作　　者：乔兴[1,2] 赵志欣[1] 郭丽娜[1] 

机构地区：[1]北京信息控制研究所,北京100037 [2]大庆师范学院数学系,黑龙江大庆163712

出　　处：《数学的实践与认识》2010年第13期144-148,共5页Mathematics in Practice and Theory

基　　金：大庆师范学院青年科学研究基金(08ZQ06);河南省科技攻关项目(092102210070)

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,运用积分方程理论讨论了系统非负解存在唯一性问题.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 follows exponential distribution, and repair time subjects to the general distribution. Discussing of the problem of the existence and uniqueness of the solution of the system by using integral equation theory.

关 键 词：可修复计算机系统 积分-微分方程组 非负解 

分 类 号：O242.1[理学—计算数学]