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| 具有位相型随机补货提前期的PH退化可修系统及其最优更换策略 | |
| 引用本文： | 唐应辉,余妙妙,付永红,唐小我. 具有位相型随机补货提前期的PH退化可修系统及其最优更换策略[J]. 系统科学与数学, 2010, 30(9): 1222-1235 |
| 作者姓名： | 唐应辉 余妙妙 付永红 唐小我 |
| 作者单位： | 1. 四川师范大学数学与软件科学学院,成都,610066 2. 四川师范大学数学与软件科学学院,成都,610066;四川理工学院理学院,自贡,643000 3. 四川理工学院计算机学院,自贡,643000 4. 电子科技大学经济与管理学院,成都,610054 |
| 基金项目： | 国家自然科学基金重点项目，国家自然科学基金，教育部高校博士点专项研究基金，四川省教育厅自然科学基金 |
| 摘 要： | 将几何过程与PH分布相结合, 讨论一个带有位相型随机补货提前期的PH退化可修系统.通过建立最小生成元$Q$矩阵,获得了系统在稳态情形下的状态概率分布向量及其数值解.根据上述研究结果同时也得到了系统的几个重要可靠性指标. 进一步地,还考虑了基于部件故障次数的订购策略和更换策略,导出系统单位时间平均运行成本的解析表达式并给出一个确定最优$N$策略的数值算例. |
| 关 键 词： | 退化可修系统 随机补货提前期 PH分布 几何过程 更换策略. |
| 收稿时间： | 2009-12-02 |
PH DETERIORATING REPAIRABLE SYSTEM WITH PHASE-TYPE STOCHASTIC LEAD TIME AND ITS OPTIMAL RELACEMENT POLICY |
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| TANG Yinghui,YU Miaomiao,FU Yonghong,TANG Xiaowo. PH DETERIORATING REPAIRABLE SYSTEM WITH PHASE-TYPE STOCHASTIC LEAD TIME AND ITS OPTIMAL RELACEMENT POLICY[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(9): 1222-1235 | |
| Authors: | TANG Yinghui YU Miaomiao FU Yonghong TANG Xiaowo |
| Affiliation: | (1)Sichuan Normal University, 610066;(2)Sichuan University of Scienceand Engineering, 643000;(3)University of Electronic Science and Technology of China, 610054 |
| Abstract: | Combining PH distribution with geometric process, a PH deteriorating repairable system with phase-type stochastic lead time is investigated.By using the infinitesimal generator matrix $Q$,the steady state probability distribution vectors of the system state and their numerical solutions are obtained.Then, according to the above research results, some important reliability indices of the system are given.Furthermore, an ordering policy and a replacement policy based on the number of failures of the component are considered.The explicit expression for the average cost rate of the system is derived anda numerical example for determining the optimal $N$ policy is given. |
| Keywords: | Deteriorating repairable system stochastic lead time PH distribution geometric process replacement policy. |
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