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具有两类修复设备的可修系统解的分析

The Analysis of a Repairable System with Two Types of Repair Facilities
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摘要 介绍了一个可修系统的数学模型,且系统的修复时间是任意分布的.运用Banach空间下的算子半群理论,得出了系统具有唯一非负时间依赖弱解. This paper presents a mathematical model of repairable system. tne distribution of repair time for a failed system is arbitrary. The existence and uniqueness of the none - negative weak solution of this system in Banach Space were proved with the theory of operator semi - group in function analysis.
出处 《佳木斯大学学报(自然科学版)》 CAS 2008年第2期279-282,共4页 Journal of Jiamusi University:Natural Science Edition
关键词 压缩c0半群 弥散算子 无穷小生成元 contraction semi - group dissipative operator infinitesimal generator
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参考文献4

  • 1Balbir S.Dhillon.Availability Analysis of Systems with Two Types of Repair Facilities.New Techniques and Applications.1980.8.
  • 2解大鹏,刘洋.具有两类修复设备可修系统解的存在唯一性[J].延边大学学报(自然科学版),2007,33(4):242-244. 被引量:4
  • 3Pazy A.,Semigroups of Linear Operators and Application to Partial Differential Equations[M].New York,Springer-Verlag,1983.
  • 4Arendt W.,Resolvent Positive Operators[J].Proc London Math Soc No.3,1987,54:321-349

二级参考文献1

  • 1[1]Balbir S Dhillon.Availability Analysis of Systems with Two Types of Repair Facilities[M].Great Britain:Pergamon Press,1980.

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