延迟修理且定期检修的α-幂过程可修系统更换模型  

Replacement Model of α-Power Process Repairable System with Delay Repair and Regular Overhauling

作　　者：马淑莲[1] 汪云芬[1] 

机构地区：[1]河北民族师范学院数学与计算机系,河北承德067000

出　　处：《郑州大学学报（理学版）》2014年第2期6-10,共5页Journal of Zhengzhou University:Natural Science Edition

摘　　要：研究了一种延迟修理且定期检修的α-幂过程维修更换模型.系统在每个周期的检修时间逐渐增加以及故障维修不能"修复如新"和系统每次故障以概率1-p延迟修理的情况下,建立了以系统的故障次数N为更换策略的数学模型.通过利用更新理论和α-幂过程理论,得到了系统经长期运行单位时间内的期望停机时间表达式,数值实例验证了本系统的最优更换策略N*.An α-power process maintenance replacement model with delayed repair and regular overhauling was studied.Increasing overhauling time in neighboring cycle was assumed.The system couldn＇ t be repaired ＂as good as new＂ and a repair could be delayed with a probability of 1-p,the replacement policy based on failme number N was established.The explicit expression of the long-run expected downtime per unit time was derived by using renewal and α-power process theory.Then,the optimum replacement policy N＊ could be obtained through numerical example.

关 键 词：可修系统 定期检修 更新过程 α-幂过程 

分 类 号：O213.2[理学—概率论与数理统计]