| 退化可修系统最优更换数学模型研究 |
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| 引用本文： | 贾积身,王东升,段振辉.退化可修系统最优更换数学模型研究[J].数学的实践与认识,2006,36(4):1-4. |
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| 作者姓名： | 贾积身 王东升 段振辉 |
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| 作者单位： | 1. 南京航空航天大学经济与管理学院,江苏,南京,210016;河南机电高等专科学校科研处,河南,新乡,453002
2. 河南机电高等专科学校科研处,河南,新乡,453002 |
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| 基金项目： | 中国科学院资助项目;高等学校博士学科点专项科研项目 |
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| 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.
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| 关 键 词： | 可修系统 更新过程 期望效益 几何过程 |
| 修稿时间： | 2003年10月10 |
Study on the Mathematical Model under Optimal Replacement for a Deteriorative Repairable System |
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| JIA Ji-shen,WANG Dong-sheng,DUAN Zhen-hui.Study on the Mathematical Model under Optimal Replacement for a Deteriorative Repairable System[J].Mathematics in Practice and Theory,2006,36(4):1-4. |
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| Authors: | JIA Ji-shen WANG Dong-sheng DUAN Zhen-hui |
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| Abstract: | 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. |
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| Keywords: | repairable system renewal process average benefit geometric process |
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