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延迟修理的修理工多重休假可修系统更换模型
引用本文:贾积身,刘思峰,党耀国.延迟修理的修理工多重休假可修系统更换模型[J].系统工程与电子技术,2009,31(12):3017-3021.
作者姓名:贾积身  刘思峰  党耀国
作者单位:1. 河南机电高等专科学校科研处, 河南 新乡 453002; 2. 南京航空航天大学经济与管理学院, 江苏 南京 210016
基金项目:国家自然科学基金,河南省自然科学基金,河南省教育厅基础研究项目(2006120002)资助课题 
摘    要:针对有延迟修理的修理工多重休假单部件可修系统,提出了一种维修更换模型。系统发生故障时可能因修理工的休假或故障情况而得不到及时修理,因此系统可处于工作、修理和待修三种状态。假设系统每次维修后均不能“修复如新”和系统每次故障以概率1-p延迟修理的情况下,以系统的故障次数N为更换策略,通过扩展几何过程理论建立数学模型,求出了系统经长期运行单位时间内期望效益的明显表达式。最后,通过数值例子验证了该方法的有效性。

关 键 词:可修系统  多重休假  延迟修理  故障次数  期望效益  扩展几何过程

Replacement model of repairable system with multiple vacations and delay repair
JIA Ji-shen,LIU Si-feng,DANG Yao-guo.Replacement model of repairable system with multiple vacations and delay repair[J].System Engineering and Electronics,2009,31(12):3017-3021.
Authors:JIA Ji-shen  LIU Si-feng  DANG Yao-guo
Institution:1. Dept. of Scientific Research, Henan Mechanical and Electrical Engineering Coll., Xinxiang  453002, China;2. Coll. of Economics & Management, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China
Abstract:A replacement model for a one-unit repairable system equipped with a repairman who has multiple vacations is proposed.Repair upon failure might not be immediately carried due to the fact that the repairman might be on vacation.The system might therefore be at one of the three states:working,being repaired,and waiting for repair.Suppose that the system cannot be repaired as good as new and a repair can be delayed with a probability of 1-p,an explicit expected cost rate using an extended geometric process and N replacement policy is given.Numerical examples are also used to validate the replacement policy.
Keywords:repairable system  multiple vacations  delay repair  failure number  expected profit  an extended geometric process
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