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带有多重休假及预防维修的冲击模型二维更换策略
引用本文:李海霞,陈雁东,孟宪云.带有多重休假及预防维修的冲击模型二维更换策略[J].经济数学,2014(2):55-58.
作者姓名:李海霞  陈雁东  孟宪云
作者单位:天津师范大学津沽学院;天津农学院;燕山大学理学院;
基金项目:全国统计科研计划项目(2010LC33);河北省教育厅计划项目(2007323)
摘    要:研究了修理工带有多重休假且定期检测的累积冲击模型.为了延长系统的运行时间,在检测时考虑了预防维修.将事后维修和预防维修结合起来运用于可修系统,且假定预防维修能够"修复如新",而事后维修为"修复非新".以系统的检测周期和故障次数为二维决策变量,选取系统经长期运行单位时间内期望费用为目标函数.并通过数值分析,求出了最优策略.

关 键 词:可修系统  多重休假  定期检测  预防维修  冲击模型

The Two-Dimensional Replacement Policy of the Shock Model with Multiple Vacations
LI Hai-xia,CHEN Yan-dong,MENG Xian-yun.The Two-Dimensional Replacement Policy of the Shock Model with Multiple Vacations[J].Mathematics in Economics,2014(2):55-58.
Authors:LI Hai-xia  CHEN Yan-dong  MENG Xian-yun
Institution:1. Tianjin Normal University Jingu College, Tianjin 300387, China ; 2. Tianjin Agricultural University, Tianjin 300384,China; 3. Collegeof Science Yanshan University, Qinhuangdao,Hebei 066004,China)
Abstract:This paper studied a cumulative shock model of a repairman with multiple vacations and periodic inspection. In order to prolong the running time of the system,preventive repair should be considered during the inspection time,and breakdown maintenance be connected with preventive repair in repairable system,assuming that preventive repair can be “as good as new”,while breakdown maintenance is not “as good as new”.The two-dimensional decision variables were based on the periodic inspection and the failure number,and the expected cost of the long-running unit time was selected as the obj ective function.And the optimal policy was obtained through numerical analysis.
Keywords:repairable system  multiple vacations  periodic inspection  preventive maintenance  shock model
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