具有多重休假开关连续型温贮备可修系统的可靠性分析
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摘要
考虑修理工多重休假和开关不完全可靠的温贮备可修系统.对于工作部件寿命、贮备部件寿命、开关寿命、开关故障后修理时间服从指数分布;部件故障后的修理时间、修理工的休假时间均服从一般连续型分布的温贮备可修系统进行研究,应用Laplace变换和补充变量法等数学方法对其进行可靠性分析,得到系统的可靠度、可用度、故障频度等主要的可靠性指标.
Taking account of the warm maintenance repairable system with multiple vacation for repairman and incompletely reliable switch,a warm maintenane repairable system is investigated,where the lifetime of the system components on duty and standby,lifetime of the switch,and repair time of damaged switch follow the exponential distributions,while the repair time of other system components and vacational duration follow the general continous distributions.By using the generalized Laplace method and supplementary variable approach,the system reliability is analyzed and some important reliability indices such as system reliablity,system availability,and system failure repeatability are obtained.
Taking account of the warm maintenance repairable system with multiple vacation for repairman and incompletely reliable switch,a warm maintenane repairable system is investigated,where the lifetime of the system components on duty and standby,lifetime of the switch,and repair time of damaged switch follow the exponential distributions,while the repair time of other system components and vacational duration follow the general continous distributions.By using the generalized Laplace method and supplementary variable approach,the system reliability is analyzed and some important reliability indices such as system reliablity,system availability,and system failure repeatability are obtained.
引文
[1]曹晋华,程侃.可靠性数学引论[M].2版,北京:高等教育出版社,2006.
[2]程侃.寿命分布类与可靠性数学引论[M].北京:科学出版社,1999.
[3]吴清太.开关寿命连续型冷贮备可修系统的可靠性分析--两不同部件构成的可修系[J].运筹与管理,2001,10(01):115-120.
[4]吴清太,叶尔骅.开关寿命连续型二部件温贮备可修系统的可靠性分析[J].应用概率统计,2001,17(02):175-179.
[5]吴清太.2个不同部件组成的开关寿命连续型温贮备可修系统的可靠性分析[J].南京理工大学学报,2004(6):673-678.
[6]KE J C,WANG K H.Vacation policies for machine repair problem with two type spares[J].Applied Mathematical Modelling,2007(05):880-894.
[7]吴清太,吕小燕.修理时间为一般分布的开关寿命连续型冷贮备系统[J].南京大学学报:数学半年刊,2010,27(01):88-96.
[8]刘鸣,苏保河.修理工多重休假两部件冷贮备可修系统[J].石家庄铁道学院学报,1994,7(3):47-52.
[9]刘海涛,孟宪云.具有单重休假和修复不如新的两部件温贮备系统[J].自动化学报,2012,38(04):639-646.
[10]张民悦,薛美娜.维修有优先权的且含有r个修理工的环形相邻k/n(F)可修系统分析[J].兰州理工大学学报,2012,38(3):134-138.
[11]史定华.计算可修系统在(0,t]中平均故障次数的新方法[J].应用数学学报,1985,08(01):101-110.
[2]程侃.寿命分布类与可靠性数学引论[M].北京:科学出版社,1999.
[3]吴清太.开关寿命连续型冷贮备可修系统的可靠性分析--两不同部件构成的可修系[J].运筹与管理,2001,10(01):115-120.
[4]吴清太,叶尔骅.开关寿命连续型二部件温贮备可修系统的可靠性分析[J].应用概率统计,2001,17(02):175-179.
[5]吴清太.2个不同部件组成的开关寿命连续型温贮备可修系统的可靠性分析[J].南京理工大学学报,2004(6):673-678.
[6]KE J C,WANG K H.Vacation policies for machine repair problem with two type spares[J].Applied Mathematical Modelling,2007(05):880-894.
[7]吴清太,吕小燕.修理时间为一般分布的开关寿命连续型冷贮备系统[J].南京大学学报:数学半年刊,2010,27(01):88-96.
[8]刘鸣,苏保河.修理工多重休假两部件冷贮备可修系统[J].石家庄铁道学院学报,1994,7(3):47-52.
[9]刘海涛,孟宪云.具有单重休假和修复不如新的两部件温贮备系统[J].自动化学报,2012,38(04):639-646.
[10]张民悦,薛美娜.维修有优先权的且含有r个修理工的环形相邻k/n(F)可修系统分析[J].兰州理工大学学报,2012,38(3):134-138.
[11]史定华.计算可修系统在(0,t]中平均故障次数的新方法[J].应用数学学报,1985,08(01):101-110.