具有临界和非临界人为故障的人-机系统解的存在唯一性及半离散化  

The Semi-Discretization and The Existence and Uniqueness of A Man-Machine System with Critical and Non-critical Human Error

作　　者：葛琦[1] 金爱冬[2] 

机构地区：[1]延边大学理学院数学系,延吉133002 [2]延边大学师范学院,延吉133002

出　　处：《数学的实践与认识》2007年第9期74-80,共7页Mathematics in Practice and Theory

摘　　要：研究了具有临界和非临界人为故障率,且修复时间任意分布的可修复的人-机系统模型.利用初等方法将系统转换为8维Banach空间下的Volterra积分方程,得到系统非负解存在且唯一.并讨论了系统解的逼近.A mathematical model of a repairable man-machine system with critical and noncritical human error Rates, and system repair times arbitrarily distributed is discussed. First, the system is transformed into Volterra Integration-differentlal equations in a eight dimension Banach space. Then the result of the existence and uniqueness of the nonnegative solution of system is obtained. The end, the approximation of the solution of system is discussed.

关 键 词：可修复系统 临界和非临界人为故障 半离散化 

分 类 号：N945.1[自然科学总论—系统科学]