非恒定概率下基于不完全检查的受限维护优化研究  

Constrained Maintenance Optimization under Non-constant Probabilities of Imperfect Inspections

作　　者：和柳 赵英俊[1] 左文博[1] 孙明杰[1] HE Liu;ZHAO Ying-jun;ZUO Wen-bo;SUN Ming-jie(Missile Institute,Air Force Engineering University,Xi'an 710051,China)

机构地区：[1]空军工程大学防空反导学院

出　　处：《数学的实践与认识》2019年第23期141-148,共8页Mathematics in Practice and Theory

基　　金：军事类研究生资助课题(2016JY298)

摘　　要：研究了一个以三个不同状态为特征的单组分体系,针对考虑检查错误的非恒定概率的模型,给出了在给定维护策略下的确切成本和可靠性评估,目标是在可靠性约束下,在无限的时间范围内尽可能降低平均成本.最后,将真实模型与考虑检查错误的常数概率的模型进行比较,通过计算研究发现近似模型的平均成本比真实模型高出26%.此外,当使用近似模型时,发现可靠性约束可能严重受到最大25%的影响.In this research,we study a single-component system that is characterized by three distinct states,cf.the Delay Time Model:normal,defective,and failed.The system is maintained by an inspection policy with fixed time intervals,and preventive system replacement after a number of inspections.The inspections are imperfect,and the probability of an inspection error changes over the system’s operation time.Our objective is to minimize the average cost over an infinite time horizon,under a reliability constraint.We present exact cost and reliability evaluations under a given maintenance policy,for a model considering non-constant probabilities of inspection errors.We call this model the true model.Furthermore,we compare the true model to a model that considers constant probabilities of inspection errors.We refer to this latter model as the approximate model.By means of a computational study,we find that the approximate model yields,on average,26% higher costs than the true model.Furthermore,we find that the reliability constraint can be violated severely,by at most 25%,when using the approximate model.

关 键 词：维护优化 延迟时间模型 假阳性 假阴性 人为因素 

分 类 号：G63[文化科学—教育学]