| 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 |
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| 引用本文： | 葛琦,金爱冬.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[J].数学的实践与认识,2007,37(9):74-80. |
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| 作者姓名： | 葛琦 金爱冬 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 可修复系统 临界和非临界人为故障 半离散化 |
| 修稿时间： | 2005年5月28日 |
The Semi-Discretization and The Existence and Uniqueness of A Man-Machine System with Critical and Non-critical Human Error |
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| GE Qi,JIN Ai-dong.The Semi-Discretization and The Existence and Uniqueness of A Man-Machine System with Critical and Non-critical Human Error[J].Mathematics in Practice and Theory,2007,37(9):74-80. |
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| Authors: | GE Qi JIN Ai-dong |
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| Abstract: | A mathematical model of a repairable man-machine system with critical and non-critical human error Rates,and system repair times arbitrarily distributed is discussed.First,the system is transformed into Volterra Integration-differential 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. |
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| Keywords: | repairable system critical and non-critical human error semi-discretization |
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