| 引用本文: | 尹东亮,吴晶,黄晓颖.考虑修理工可变休假的n中取k系统可靠性模型.[J].国防科技大学学报,2023,45(3):67-75.[点击复制] |
| YIN Dongliang,WU Jing,HUANG Xiaoying.Reliability modeling of k-out-of-n system with one repairman having variant vacations[J].Journal of National University of Defense Technology,2023,45(3):67-75[点击复制] |
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| 考虑修理工可变休假的n中取k系统可靠性模型 |
| 尹东亮,吴晶,黄晓颖 |
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(海军工程大学 作战运筹与规划系, 湖北 武汉 430033)
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| 摘要: |
| 针对装备保障中维修调度对装备训练及可靠性的影响,将支队级修理所保障多艘舰船维修工作的情况抽象为单一维修台保障多个系统的维修力量调度分配,引入修理工可变休假策略对其进行描述,以装备结构中常见的n中取k系统为研究对象,针对以往研究利用指数分布等典型分布导致模型约束条件过于严格的问题,利用连续Phase-type分布描述了系统相关随机变量,构建系统可靠性解析模型,通过算例验证了模型适用性,模拟分析了修理工有无休假、修理工休假速率等相关因子对系统运行指标产生的各种影响。算例结果表明,该可靠性模型可以有效复现维修力量调度对n中取k系统可靠性的影响,可为修理工休假次数的合理安排、系统部件数量的优化配置提供理论基础和实践参考。 |
| 关键词: n中取k系统 可靠性 可变休假 Phase-type分布 |
| DOI：10.11887/j.cn.202303008 |
| 投稿日期：2021-07-01 |
| 基金项目:国家自然科学基金资助项目(71501183,41971416);湖北省自然科学基金面上资助项目(2020CFB706) |
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| Reliability modeling of k-out-of-n system with one repairman having variant vacations |
| YIN Dongliang, WU Jing, HUANG Xiaoying |
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(Department of Operations Research and Programming, Naval University of Engineering, Wuhan 430033, China)
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| Abstract: |
| Aiming at the impact of maintenance scheduling on equipment training and reliability in equipment support, the maintenance work of multiple ships supported by the detachment-level repair station was abstracted into a single maintenance station to support the dispatching and distribution of maintenance forces for multiple systems, the variable vacation strategy of repairman was introduced to describe it. Take the common n out of k system in the equipment structure as the research object, aiming at the problem of excessively strict model constraints caused by typical distributions such as exponential distributions in previous studies, continuous Phase-type distribution was used to describe the system-dependent random variables and build system reliability analysis model.Finally, the model applicability was verified using numerical application, and it was analyzed the influences of whether the repairman was on vacation, the changes of system components numbers, and the effect of repairman vacation rate and maintenance rate on system reliability. Numerical example results show that the reliability model can be effective retrieval the influence of maintenance forces scheduling on the reliability of k-out-of-n system, it can provide theoretical basis and practical reference for the reasonable arrangement of the number of repairman vacation and the optimal configuration of the number of system components. |
| Keywords: k-out-of-n system reliability variant vacations Phase-type distribution |
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