基于随机退化的串行生产系统机会维护模型

摘要/Abstract

摘要：

为了降低生产系统故障频率及维护成本，保证系统的安全运行，通过建立成本分析模型，对随机退化的串行生产系统提出了一种机会维护的建模方法.首先应用定态gamma分布对各设备的随机退化过程进行建模，在此基础上引入不完全维护的整合退化量恢复因子，提出了基于条件的机会维护策略.考虑设备退化的随机性，以总成本为优化目标，建立了有限时间内维护成本的分析模型.最后通过实验分析，确定了系统维护成本和检测周期以及机会维护成本之间的关系.分析结果表明，该机会维护建模方法是可行、有效的.

关键词: 随机退化, 串行系统, 不完全维护, 机会维护

Abstract:

To reduce the failure rate and maintenance cost of production systems, an opportunistic maintenance model was proposed for a series production system which experiences stochastic degradation. A stationary gamma process was used to model the uncertain degradation for each unit of the system. By introducing integrated recovery factor of imperfective maintenance, a condition-based opportunistic maintenance policy was proposed. A formulation was developed for computing the expected value of the maintenance cost over a defined time horizon. The optimal inspection interval of the system could be found by minimizing the expected maintenance cost. Finally, a simulation experiment was conducted to show that the proposed model was feasible and valid.

Key words: stochastic degradation, series system, imperfective maintenance, opportunistic maintenance

中图分类号:

TP 16

TAO Hongyu，ZHOU Binghai. 基于随机退化的串行生产系统机会维护模型[J]. 上海交通大学学报（自然版）, 2013, 47(12): 1911-1916.

陶红玉，周炳海. Opportunistic Maintenance Model for Series Production Systems Based on Stochastic Degradations[J]. Journal of Shanghai Jiaotong University, 2013, 47(12): 1911-1916.

参考文献

［1］Wang H Z, Pham H. Availability and maintenance of series systems subject to imperfect repair and correlated failure and repair［J］. European Journal of Operational Research, 2006, 174(3): 1706722.

［2］Nakagawa T. Optimal policy of continuous and discrete replacement with minimal repair at failure［J］. Naval Research Logistics Quarterly, 1984, 31(4): 543 550．

［3］Canfield R V. Cost optimization of periodic preventive maintenance［J］. IEEE Transactions on Reliability, 1986, 35(1): 78 81．

［4］Samanta B, Sarkar B, Mukherjee S K. Reliability centred maintenance (RCM) for heavy earthmoving machinery in an open cast coal mine［J］. CIM Bulletin, 2001, 94(1056): 104108.

［5］Moghaddam K S, Usher J S. Preventive maintenance and replacement scheduling for repairable and maintainable systems using dynamic programming［J］. Computers and Industrial Engineering, 2011, 60(4): 654665.

［6］Laggoune R, Chateauneuf A, Aissani D. Opportunistic policy for optimal preventive maintenance of a multicomponent system in continuous operating units［J］. Computers and Chemical Engineering, 2009, 33(9): 14991510.

［7］Zhou X J, Xi L F, Lee J. Opportunistic preventive maintenance scheduling for a multiunit series system based on dynamic programming［J］. International Journal of Production Economics, 2009, 118(2): 361366.

［8］Le M D, Tan C M. Optimal maintenance strategy of deteriorating system under imperfect maintenance and inspection using mixed inspection scheduling［J］. Reliability Engineering and System Safety, 2013, 113(1): 2129.

［9］周晓军,沈炜冰,奚立峰,等. 一种考虑修复非新的多设备串行系统机会维护动态决策模型［J］. 上海交通大学学报, 2007, 41(5):769773.

ZHOU Xiaojun, SHEN Huibing, XI Lifeng, et al. A dynamic opportunistic preventive maintenance model for a multiunit series system with consideration of imperfect maintenance effect［J］. Journal of Shanghai Jiaotong University, 2007, 41(5):769773.

［10］Pandey M D, Cheng T, van der Weide J A M. Finitetime maintenance cost analysis of engineering systems affected by stochastic degradation［J］. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2011, 225(2): 241250.

［11］Cheng T, Pandey M D. An accurate analysis of maintenance cost of structures experiencing stochastic degradation［J］. Structure and Infrastructure Engineering, 2012, 8(4): 329339.

［12］程志君,郭波. 连续劣化系统的最佳检测与维护策略分析［J］. 系统工程与电子技术, 2008, 30(1): 193196.

CHENG Zhijun, GUO Bo. Analysis of optimal inspection and maintenance policy for continuous deteriorating system［J］. Systems Engineering and Electronics, 2008， 30(1): 193196.

［13］Saassouh B, Dieulle L, Grall A. Online maintenance policy for a deteriorating system with random change of mode［J］. Reliability Engineering and System Safety, 2007, 92(12): 16771685.

［14］翟子青. 基于随机过程的蒸汽发生器传热管腐蚀失效寿命分析［D］. 上海：上海交通大学机械与动力工程学院，2011.

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