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定期检修可修系统更换模型研究
引用本文:贾积身,高建来,刘思峰.定期检修可修系统更换模型研究[J].数学的实践与认识,2010,40(4).
作者姓名:贾积身  高建来  刘思峰
作者单位:1. 河南机电高等专科学校科研处,河南,新乡,453002
2. 洛阳理工学院,数理部,河南,洛阳,471023
3. 南京航空航天大学,经济与管理学院,江苏,南京,210016
基金项目:国家自然科学基金(70473037); 河南省自然科学基金(0611054400); 河南省教育厅基础研究项目(2006120002)
摘    要:针对定期检修退化可修系统提出了一种维修更换模型,且假定系统在每个周期中检修时间逐渐递增、检修"修复如旧"和故障维修为"修复非新"时,选择系统的故障次数N为更换策略,利用更新过程和单调的几何过程理论建立数学模型,求出了系统经长期运行单位时间内的期望效益的表达式.最后还对结果进行了讨论,并给出了数值例子验证该方法的有效性.

关 键 词:系统工程  可修系统  定期检修  期望效益  几何过程  更新过程

Research on Replacement Model for Regular Overhauling Repairable System
JIA Ji-shen,GAO Jian-lai,LIU Si-feng.Research on Replacement Model for Regular Overhauling Repairable System[J].Mathematics in Practice and Theory,2010,40(4).
Authors:JIA Ji-shen  GAO Jian-lai  LIU Si-feng
Institution:JIA Ji-shen~1,GAO Jian-lai~2 LIU Si-feng~3 (1.Department of Scientific Research,Henan Mechanical , Electrical Engineering College,Xinxiang 453002,China) (2.Department of Mathematics , Physics,Luoyang Institute of Science , Technology,Luoyang 471023,China) (3.College of Economics Management,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China)
Abstract:To study a deteriorative repairable system with regular overhauling,a kind of new maintenance and replacement model is proposed.Assume that the overhauling time is increasing in neighboring cycle,the random overhauling isas good as oldand the repair after the system failure is notas good as new,we consider the replacement policy N based on the failure number,the mathematic model has been established by using renewal process theory and the monotone geometric process theory,the explicit expressions of the lon...
Keywords:system engineering  repairable system  regular overhauling  expected profit  geometric process  renewal process  
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