| 可修备件需求量的通用拟生灭过程模型 |
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| 引用本文： | 黄卓, 梁亮, 郭波. 可修备件需求量的通用拟生灭过程模型. 自动化学报, 2006, 32(2): 200-206. |
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| 作者姓名： | 黄卓 梁亮 郭波 |
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| 作者单位： | 1.Systems Engineering Department, National University of Defense Technology, Changsha 410073 |
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| 基金项目： | Supported by National Defense Foundation of P. R, China （41319060206）.Acknowledgements We thank the two referees for their thorough reading and deep insight. |
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| 摘 要： | This paper aims at two problems which exist in most of repairable spare part demand models at present: the exponential distribution as the basic assumption and one typical distribution corresponding to a model. A general repairable spare part demand model built on quasi birth-and- death process is developed. This model assumes that both the operational time of the unit and the maintenance time of the unit follow the continuous time phase type distributions. The first passage time distribution to be out of spares, the first mean time to be out of spares, and an algorithm to get the minimal amount of spares under certain restrictions are obtained. At the end of this paper, a numerical example is given.
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| 关 键 词： | Reliability repairable spare spare demand phase type distribution quasi birth and death process |
| 收稿时间： | 2005-07-02 |
| 修稿时间： | 2005-11-10 |
A General Repairable Spare Part Demand Model Based on Quasi Birth and Death Process |
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| HUANG Zhuo, LIANG Liang, GUO Bo. A General Repairable Spare Part Demand Model Based on Quasi Birth and Death Process. ACTA AUTOMATICA SINICA, 2006, 32(2): 200-206. |
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| Authors: | HUANG Zhuo LIANG Liang GUO Bo |
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| Affiliation: | 1. Systems Engineering Department, National University of Defense Technology, Changsha 410073 |
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| Abstract: | This paper aims at two problems which exist in most of repairable spare part demand models at present: the exponential distribution as the basic assumption and one typical distribution corresponding to a model. A general repairable spare part demand model built on quasi birth-and-death process is developed. This model assumes that both the operational time of the unit and the maintenance time of the unit follow the continuous time phase type distributions. The first passage time distribution to be out of spares, the first mean time to be out of spares, and an algorithm to get the minimal amount of spares under certain restrictions are obtained. At the end of this paper, a numerical example is given. |
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| Keywords: | Reliability repairable spare spare demand phase type distribution quasi birth and death process |
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