考虑负载共享的线性连续k-out-of-n:F系统检测策略优化  

Optimization of an Inspection Policy for Linear Consecutive k-out-of-n:F Systems with Load-sharing

作　　者：李丽杰[1] 赵斐 康建设[4] 汪玲芳 LI Li-jie;ZHAO Fei;KANG Jian-she;WANG Ling-fang(College of Business and Administration,Hebei Normal University of Science and Technology,Qinhuangdao 066004,China;School of Business Administration,Northeastern University,Shenyang 110819,China;School of Management Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;Department of Equipment Command and Management,Mechanical Engineering College,Shijiazhuang 050003,China)

机构地区：[1]河北科技师范学院工商管理学院,河北秦皇岛066004 [2]东北大学工商管理学院,辽宁沈阳110819 [3]东北大学秦皇岛分校管理学院,河北秦皇岛066004 [4]军械工程学院装备指挥与管理系,河北石家庄050003

出　　处：《数学的实践与认识》2019年第1期162-169,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71701038;71701037);教育部人文社会科学研究项目(16YJC630174);中央高校基本科研业务专项资金资助(N172304017);河北省高等学校科学技术研究项目(QN2017104);河北省社会科学发展研究课题(201701110);秦皇岛市科技局资助项目(201601B059)

摘　　要：针对线性连续k-out-of-n:F系统提出定期检测策略,每隔固定周期对系统中各部件状态进行检查并以新部件更换故障部件,若系统发生故障则立即停机并更换故障部件.由于受到负载共享的影响,各工作部件故障率不仅与系统中发生故障的部件数量相关,还与其相邻部件状态有关;为此,引入损伤故障率模型描述部件故障率.基于故障序列图和更新报酬理论建立定期检测策略优化模型以最小化单位时间内的期望成本,确定最优检测周期.最后,通过算例分析验证模型的有效性.A periodic inspection policy is proposed for linear consecutive k-out-of-n: F(C(k, n;F)) systems, in which components in the system are detected regularly and the failed components are replaced by new ones. Once the system fails, it breaks down immediately and the failed components need to be removed. The failure rate for surviving components depends on the number of failed components in the C(k, n;F) system, but also the state of its adjective components due to load-sharing, so the tampered failure rate is considered. Then,using the failure sequence diagram and the renewal award theory, the corresponding policy optimization model is constructed by minimizing the expected cost per unit time to find an optimal inspection interval. Finally, a numerical example is given to illustrate the effectiveness of the proposed model.

关 键 词：连续k-out-of-n:F系统 负载共享 预防性维修 更新报酬理论 

分 类 号：O213.2[理学—概率论与数理统计]