齐齐哈尔大学学报:自然科学版
齊齊哈爾大學學報:自然科學版
제제합이대학학보:자연과학판
Journal of Qiqihar University(Natural Science Edition)
2012年
5期
70-75
,共6页
乔兴%马丹%孙凤芝%王彦%薛欢庆%佟欣
喬興%馬丹%孫鳳芝%王彥%薛歡慶%佟訢
교흥%마단%손봉지%왕언%설환경%동흔
并联系统%积分一微分方程%离散化%适定性%非负解
併聯繫統%積分一微分方程%離散化%適定性%非負解
병련계통%적분일미분방정%리산화%괄정성%비부해
parallel system%integral differential equations%discretization%posedness%nonnegative solution
讨论了一个由于常规原因和人为错误引起故障的两不同部件并行系统的模型,修复后的故障系统恢复正常。在假设修复率非常数的前提下,运用半群理论证明了系统解的存在唯一性,最后对修复率用初等阶梯函数逼近给出了系统半离散化模型,为进一步数值计算奠定了理论基础。
討論瞭一箇由于常規原因和人為錯誤引起故障的兩不同部件併行繫統的模型,脩複後的故障繫統恢複正常。在假設脩複率非常數的前提下,運用半群理論證明瞭繫統解的存在唯一性,最後對脩複率用初等階梯函數逼近給齣瞭繫統半離散化模型,為進一步數值計算奠定瞭理論基礎。
토론료일개유우상규원인화인위착오인기고장적량불동부건병행계통적모형,수복후적고장계통회복정상。재가설수복솔비상수적전제하,운용반군이론증명료계통해적존재유일성,최후대수복솔용초등계제함수핍근급출료계통반리산화모형,위진일보수치계산전정료이론기출。
This paper presents the models with common cause failure and human error analysis of a two non-identicalunit parallel system. The failed system is repaired back to its normal operating state. On the basis of the assumption that the repair rate of the failed system is not a constant, by using semigroup theory we proved the existence and uniqueness of the solution of the system. It presents the semi-discretization model of the system by structuring on elementary step function to approxiamate repair rate function, which provides the theory foundation for the further research of numerical calculation.