基于不同优化准则的民机零部件块更新策略

中国民航大学学报 ›› 2019, Vol. 37 ›› Issue (6): 55-59.

基于不同优化准则的民机零部件块更新策略

张春晓，李强，罗倩

（中国民航大学理学院，天津300300）

出版日期:2019-12-31 发布日期:2020-01-02
作者简介:张春晓（1971—），女，青海西宁人，教授，硕士，研究方向为数据分析、统计决策、优化等.
基金资助:
中国民航局科技计划项目（MHRD20160106）

Block replacing policy of civil aircraft components based on different optimizing criteria

ZHANG Chunxiao, LI Qiang, LUO Qian

（College of Science, CAUC, Tianjin 300300, China ）

Online:2019-12-31 Published:2020-01-02

摘要/Abstract

摘要： 针对新研制民机零部件缺乏历史运营数据的问题，基于不确定理论将零件寿命视为不确定变量，研究带有库存容限值的最优块更新策略。考虑飞机使用单位不同的维修更新要求，基于3 种优化准则建立寻求最佳块更新周期模型：①期望值模型，使整个周期内平均更新成本最小化；②机会值模型，使平均更新成本超过预算值的测度最小化；③关键值模型，满足平均更新成本低于预算值的测度大于给定信度的约束，并通过数值算例验证模型的有效性。

关键词: 民机零部件, 块更新策略, 不确定理论, 库存容限值

Abstract: Due to the absence of actual operation and historical maintenance data for the new type of aircraft components,their lifespans are assumed as uncertain variables to study the block replacing policy based on uncertainty theory.Meanwhile, considering the different maintenance requirements and stock tolerance limits, the block replacing models with three optimizing criteria are proposed to search the optimal replacing period: a. the expected value model to minimize the average cost within a block replacing period; b. the chance value model to minimize the average replacing cost beyond the budget; c. the key value model to ensure that the average replacing cost below the budget exceeds the constraint of a given confidence. Finally, numerical examples are given to prove the validity of the proposed model.

Key words: block replacing policy, uncertainty theory, stock tolerance limit, expected value model, chance value model, key value model

中图分类号:

V241.07

张春晓, 李强, 罗倩. 基于不同优化准则的民机零部件块更新策略[J]. 中国民航大学学报, 2019, 37(6): 55-59.

ZHANG Chunxiao, LI Qiang, LUO Qian. Block replacing policy of civil aircraft components based on different optimizing criteria[J]. Journal of Civil Aviation University of China, 2019, 37(6): 55-59.

参考文献 11

[1]	吴静敏, 左洪福. 基于SVM 结合PSO 改进算法的飞机部件DMC 预计方法[J]. 系统工程与电子技术, 2007, 29(1): 151-154.
[2]	BARLOW R E, PROSCHAN F. Mathematical theory of reliability[M].New York：Society for Industrial and Applied Mathematics, 1965.
[3]	TANGO T. A modified block replacement policy using less reliable items[J]. IEEE Transactions on Reliability, 1979, R-28(5): 400-401.
[4]	SHEUS H. A generalized block replacement policy with minimal repairs and general random repair costs for a multi-unit system[J]. Journal of the Operational Research Society, 1991, 42(4): 331-341.
[5]	SHEU S H, GRIFFITH W S. Extended block replacement policy with shock models and used items[J]. European Journal of Operational Research,2002, 140(1): 50-60.
[6]	LIUBAODING. Uncertainty theory[M]. 2nd ed. Berlin：Springer-Verlag,2007.
[7]	LIU BAODING. Uncertainty theory[M]. 3rd ed. Berlin：Springer-Verlag,2010.
[8]	ZHANG CHUNXIAO, GUO CONGRONG. Uncertain block replacement policy with no replacement at failure[J]. Journal of Intelligent and Fuzzy Systems, 2014, 27(4): 1991-1997.
[9]	ZHANG CHUNXIAO, LI QIUYING, SHI XIAOLEI. Uncertain (N, T）block replacement policy of aircraft structure subjected to corrosion damage[J]. Soft Computing, 2016, 20(11): 4619-4627.
[10]	KE HUA, YAO KAI. Block replacement policy with uncertain lifetimes[J]. Reliability Engineering and System Safety, 2016, 148:119-124.
[11]	YANG XIAOHU. On comonotonic functions of uncertain variables[J].Fuzzy Optimization and Decision Making, 2013, 12(1): 89-98.