基于分段函数的威布尔型备件需求量近似算法

doi:10.16182/j.issn1004731x.joss.20-0151

系统仿真学报 ›› 2021, Vol. 33 ›› Issue (6): 1444-1450.doi: 10.16182/j.issn1004731x.joss.20-0151

基于分段函数的威布尔型备件需求量近似算法

邵松世¹, 张志华¹, 莫小杰²

1.海军工程大学舰船与海洋学院, 湖北武汉 430033;
2.湖北航天技术研究院总体设计所,湖北武汉 430074

收稿日期:2020-03-30 修回日期:2020-07-23 出版日期:2021-06-18 发布日期:2021-06-23
第一作者简介:邵松世(1979),男,博士,副教授,研究方向为舰船装备技术保障,保障资源需求预测与配置优化,备件保障。E-mail：369698199@qq.com
基金资助:
国防预研基金(51304010206,51327020105)

Approximate Method of Spares Demand Prediction for Weibull Distribution Items Based on Piecewise Function

Shao Songshi¹, Zhang Zhihua¹, Mo Xiaojie²

1. College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, China;
2. System Design Institute of Hubei Aerospace Technology Academy, Wuhan 430074, China

Received:2020-03-30 Revised:2020-07-23 Online:2021-06-18 Published:2021-06-23

摘要/Abstract

摘要： 威布尔型备件需求预测模型涉及多重无穷级数,计算较为困难。一般采用的近似计算方法,往往存在着较大误差。通过研究更新函数的有关性质,提出了一种利用分段函数近似更新函数的威布尔型备件需求函数近似方法,避免了备件需求预测计算复杂的问题。理论分析表明：提出的近似算法保证了获得的备件需求量要小于工程近似算法。最后通过算例,仿真验证了提出的近似算法的近似效果较好,紧贴仿真结果,精度优于近似计算方法,满足实际保障需要,有利于工程需求。

关键词: 更新过程, 更新函数, 威布尔型备件, 备件需求函数

Abstract: Demand prediction model for spare parts with Weibull distribution involves multiple infinite series, therefore, spares demand calculation is a difficult issue. The approximate calculation method generally used is often subject to large errors. According to the principle of renewal function, the approximated demand calculation method for spares of Weibull distribution using piecewise function to approximate the renewal function is proposed. It effectively avoids the issue of computational complexity for spares demand prediction. Theoretical analysis shows that the proposed approximated algorithm ensures the calculation result of spares demand is less than that of engineering approximation algorithm. According to the given example, the simulation verifies that the proposed approximation algorithm has a better approximation effect, meets the practical support demand as well as the engineering demand.

Key words: renewal process, renewal function, spare parts with weibulldistribution, spare demand function

中图分类号:

TP391.9

邵松世,张志华,莫小杰 . 基于分段函数的威布尔型备件需求量近似算法[J]. 系统仿真学报, 2021, 33(6): 1444-1450.

Shao Songshi,Zhang Zhihua,Mo Xiaojie . Approximate Method of Spares Demand Prediction for Weibull Distribution Items Based on Piecewise Function[J]. Journal of System Simulation, 2021, 33(6): 1444-1450.

参考文献

[1] 张建军, 李树芳, 张涛.备件保障度评估与备件需求量模型研究[J]. 电子产品可靠性与环境试验, 2004(6): 18-22.
Zhang Jianjun, Li Shufang, Zhang Tao, et al.Study on Spare Availability and Optimization Model[J]. Electronic Product Reliability and Environmental Testing, 2004(6): 18-22.
[2] 邱志平, 尼早. 航空装备备件需求量的概率区间计算方法[J]. 航空学报, 2009, 30(5): 861-866.
Qiu Zhiping, Ni Zao, Probabilistic Interval Approach for Determiniing the Demand of Aviation Spares[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(5): 861-866.
[3] Levner E, Perlman Y, Cheng T C E, et al. A network Approach to Modeling the Multi-echelon Spare-part Inventory System with Backorders and Interval-valued Demand[J]. International Journal of Production Economics (S0925-5273), 2011, 132(1): 43-51.
[4] Jiang Y P, Chen M Y, Zhou D H.Joint Optimization of Preventive Maintenance and Inventory Policies for Multi-unit Systems Subject to Deteriorating Spare Part Inventory[J]. Journal of Manufacturing Systems (S0278-6125), 2015(35): 191-205.
[5] Panagiotidou S.Joint Optimization of Spare Parts Ordering and Maintenance Policies for Multiple Identical Items Subject to Silent Failures[J]. European Journal of Operational Research (S0377-2217), 2014, 235(1): 300-314.
[6] 刘天华, 张志华, 梁胜杰, 等. 一种Weibull型备件需求量的改进算法[J]. 系统工程理论与实践, 2012, 32(5): 1124-1128.
Liu Tianhua, Zhang Zhihua, Liang Shengjie, et al.An Improved Method for the Spare Demand of the Weibull-distribution[J]. Systems Engineering-Theory & Practice, 2012, 32(5): 1124-1128.
[7] 刘任洋, 李庆民, 王慎, 等. 任意分布单元表决系统备件需求量的解析算法[J]. 系统工程与电子技术, 2016, 38(3): 714-718.
Liu Renyang, Li Qingmin, Wang Shen, et al.Analytical Algorithm of Spare Demand for Voting System of Any Life Distribution Units[J]. Systems Engineering and Electronics, 2016, 38(3): 714-718.
[8] 邵松世, 刘任洋, 李庆民, 等. 批量换件下多正态单元表决系统备件量确定[J]. 华中科技大学学报(自然科学版), 2016, 44(5): 25-29.
Shao Songshi, Liu Renyang, Li Qingmin, et al.Determination Method of the Spare Demand for Voting System of Normal Units Under Batch Replacement[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2016, 44(5): 25-29.
[9] Stefanovic D, Stefanovic N, Radenkovic B.Supply Network Modeling and Simulation Methodology[J]. Simulation Modeling Practice and Theory, 2009, 17(4): 743-766.
[10] Wu X, Wu X Y, Balakrishnan N.Variance-based Impoetance Analysis Measure for Mission Reliability of Phased Mission System[J]. Journal of Statistical Computer and Simulation, 2017, 88(5): 841-868.
[11] 刘天华, 张志华, 李庆民, 等, 威布尔型多不可修部件备件需求确定方法[J]. 系统工程理论与实践, 2012, 32(9): 2010-2015.
Liu Tianhua, Zhang Zhihua, Li Qingmin, et al.Determination Method of the Spare Demand for Multiple Components with Weibull Distribution[J]. Systems Engineering-Theory & Practice, 2012, 32(9): 2010-2015.
[12] 程侃. 寿命分布类与可靠性数学理论[M]. 北京: 科学出版社, 1999.
Cheng Kan.Life Distribution Class and Reliability Mathematical Theory[M]. Beijing: Science Press, 1999.

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基于分段函数的威布尔型备件需求量近似算法

Approximate Method of Spares Demand Prediction for Weibull Distribution Items Based on Piecewise Function

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