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基于随机Petri网的复杂机械设备可用度分析方法研究
引用本文:谢楠,李爱平,薛伟,谢晓文.基于随机Petri网的复杂机械设备可用度分析方法研究[J].机械工程学报,2012,48(16):167-174.
作者姓名:谢楠  李爱平  薛伟  谢晓文
作者单位:1. 同济大学中德工程学院 上海201804
2. 同济大学现代制造技术研究所 上海201804
3. 温州大学机电工程学院 温州325000
基金项目:国家自然科学基金,上海市自然科学基金,浙江省自然科学基金
摘    要:设备的可用度是衡量设备运行过程中随机故障的主要指标,提高其可用度是设备优化运行过程中极为重要的一环。通过分析不同维修策略下设备状态的演变规律,研究不同状态之间的时间依赖关系,建立基于随机Petri网的复杂设备可用度模型。模型着重描述设备运行过程中的劣化状态以及不同维修策略对运行过程的影响。在此模型的基础上,根据设备不同维修策略分析模型的可达图,构造同构的马尔可夫链模型,求解模型不同状态下的各个稳态概率,计算不同维修策略下的设备可用度。通过可用度的求解可得到较优的设备维修策略,从设备预防性维修效率和故障维修效率因子出发,定量分析这两个因子对设备可用度以及设备维修费用的影响,并给出趋势图。以一个实例说明该模型及分析方法的有效性。

关 键 词:复杂设备  可用度  建模  随机Petri网

Modeling and Analysis of Complex Equipment Availability Based on Stochastic Petri Nets
XIE Nan , LI Aiping , XUE Wei , XIE Xiaowen.Modeling and Analysis of Complex Equipment Availability Based on Stochastic Petri Nets[J].Chinese Journal of Mechanical Engineering,2012,48(16):167-174.
Authors:XIE Nan  LI Aiping  XUE Wei  XIE Xiaowen
Affiliation:1.Sino-German College of Applied Science,Tongji University,Shanghai 201804;2.Institute of Advanced Manufacturing Technology,Tongji University,Shanghai 201804;3.College of Mechanical & Electrical Engineering,Wenzhou University,Wenzhou 325000)
Abstract:The availability of complex equipments is one of main indicators of measuring random failure during their operations,and to improve it is a crucial part to optimize their operations.Through in-depth analyzing the evolution of the state of the device under different maintenance strategies,the time dependent relationship among different states are studied.Then,the availability model of complex equipments based on Petri nets is built up.It describes both the degradation levels and the impact of different maintenance strategies on the whole operation.Reachability graph according to different maintenance strategies of device is analyzed,and then the isomorphic Markov chain model is also constructed.Through solving the steady state probability of different states,the availability under different maintenance strategies is calculated out.The optimal maintenance strategy is solved with the highest availability.Moreover the impact of the efficiency of preventive maintenance and failure repairment,on the availability and maintenance cost is also analyzed,and the trends are also discussed.Finally,the effectiveness of model and analysis method is verified by an example.
Keywords:Complex equipment Availability Modeling Stochastic Petri nets
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