基于延迟时间理论的n中取k系统检测区间模型  

Delay-time-based inspection model for k-out-of-n systems

作　　者：刘学娟[1] 赵斐 LIU Xue-juan;ZHAO Fei(Donlinks School of Economics and Management,University of Science and Technology Beijing,Beijing 100083,China;School of Management,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China)

机构地区：[1]北京科技大学东凌经济管理学院,北京100083 [2]东北大学秦皇岛分校管理学院,河北秦皇岛066004

出　　处：《控制与决策》2020年第6期1469-1475,共7页Control and Decision

基　　金：国家自然科学基金项目(71601019,71701038);中央高校基本科研业务费专项资金项目(FRF-BD-18-009A,FRF-TP-18-006A2).

摘　　要：延迟时间理论广泛应用于系统维修领域,能够更为细致和准确地反映系统的运行状态.不同于一般维修理论只用一个阶段描述系统的故障过程,该理论将系统的故障过程分为两个阶段:正常阶段和缺陷运行阶段.系统部件的状态有正常、缺陷和故障3种情况.延迟时间理论主要应用于单部件系统和串联系统的维修和检测,目前尚未应用于n中取k系统.对此,运用延迟时间理论确定n中取k系统的最优维修检测区间,分别针对两种情况进行分析:一种是系统中部件的初始缺陷发生时间服从指数分布的情况,一种是其服从非指数分布的情况.建立单位时间维修费用模型和设计仿真过程,以单位时间维修费用最小为目标进行优化,求解系统的最优维修检测区间.最后通过数值案例表明所提出方法的有效性.The delay-time concept has been extensively applied in the field of maintenance. Unlike traditional maintenance policy only considers one-stage system failure process, the delay-time concept defines a two-stage system failure process: the normal stage from new to an initial defect and the following delay-time stage from this defective point to failure. Previous works using delay-time concept have mainly focused on single-component systems and multicomponent systems with a series configuration, however, have not been applied to k-out-of-n systems. Therefore, this paper proposes a delay-time-based inspection model for k-out-of-n systems and study the optimal inspection interval that minimizes the long-term expected cost per unit time. Both exponential and non-exponential distributions for the time-to-defect of the components are considered. Numerical examples are presented to illustrate the effectiveness of the proposed model.

关 键 词：n中取k系统 延迟时间 预防性维修 更新理论 仿真 检测周期 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]