退化可修系统最优更换数学模型研究  

Study on the Mathematical Model under Optimal Replacement for a Deteriorative Repairable System

作　　者：贾积身[1] 王东升[2] 段振辉[2] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016 [2]河南机电高等专科学校科研处,河南新乡453002

出　　处：《数学的实践与认识》2006年第4期1-4,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(70473037);国家教育部博士学科点科研基金项目(20020287001)资助

摘　　要：研究了单部件组成的退化可修系统,在假定故障部件“修复非新”的条件下,以系统中部件的故障次数N为更换策略进行了研究,我们推导出系统经长期运行后,单位时间内期望效益的明显表达式,而且在一定条件下证明了最优策略N*是所有更换策略中最优的.最后还通过几何过程对此进行了讨论.In this paper, a deteriorative repairable system consisting of a component is studied. Assume that the component after repair is not ＂as good as new＂, we consider a kind of replacement policy N of the system based on the number of failures. The explicit expressions of the long-run average benefit per unit time are calculated. Under certain conditions, we prove that the policy N^＊ is even optimal among all replacement policy. Finally, we discuss this policy by using the geometric process.

关 键 词：可修系统 更新过程 期望效益 几何过程 

分 类 号：O213.2[理学—概率论与数理统计] TG519.1[理学—数学]