摘要
为了解系统为适应在不同环境中安全运行采取改造措施的成本,借鉴王培庄先生的因素空间理论与笔者提出的空间事故树理论,构造了一套确定系统适应工作环境迁移所需措施成本的方法.首先按照元件或子系统X_i的划分将系统T使用事故树结构化,确定由状态c_(j1)迁移到c_(j2),使X_i适应该迁移所采取的措施f_(ni),得到适应状态迁移的措施表Γ(X_i),从而得到系统T的由状态c_(j1)迁移到c_(j2)的适应措施集合δ(T,c_1→c_2),化简得γ(T,c_(j1)→c_(j2)).根据不同X_i与措施f_n组成成本对应表,最终得到了X_i的迁移改造措施成本Ψ(X_i,c_(j1)→c_(j2))和系统措施成本Ψ(T,c_(j1)→c_(j2)).研究可为系统在不同的环境下的安全运行改造措施的成本提供事先确定方法.
To determine the cost of the system reform measures for safe operation in different environments, with Factor Space theory and Space Fault Tree from Mr Wang Peizhuang and the author separately, a set of the cost of the system reform measures determination methods are constructed. First of all, according to the components or subsystems Xi, the division of system T with fault tree is structured. From the state cj1 to c32, measures fni was identified that X~ adapt to the change of state, state transition measures table F（Xi） are obtained. The adapt measures set δ（T, Cl → c2） of system T is get from the state cjl to cj2 and δ（T, cjl → cj2） is simplified. The cost of the corresponding table is constructed according to different X~ and fn. The Xi of modification measures costψ （Xi, cjl →cj2） and system measures cost ψ （T, cj→ci2） are get finally. The study can provide the method to determinate the cost of the system reform measures to the safe operation in different environments.
出处
《数学的实践与认识》
北大核心
2015年第24期136-142,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(61350003)
关键词
系统工程
状态迁移
系统可靠性
适应性
措施成本
systems engineering
state transition
system reliability
adaptability
measurescost
