Scenario Reduction Method based on Output Performance for Condition-based Maintenance Optimization

Condition-based maintenance (CBM) has been widely applied to maintenance policy. Due to the stochastic forecasting degradation, scenario reduction method has been developed to improve the efficiency of CBM. However, most existing scenario reduction methods focus mainly on the input performance of the forecasting degradation without considering the significant output performance characteristic based on the model. In order to warrant the CBM optimization precision while reducing stochastic degradation scenarios efficiently, a new scenario reduction method is formulated that the scenarios with same objective function values can be reduced to one representative scenario. As a result, the reduced scenarios by the proposed method can maintain the probability distributions of objective values, while keeping optimal thresholds close to that of initial scenarios. Finally, the method is applied to select the representative degradation scenarios for CBM optimization model by utilizing vibration-based degradation signals from a rotating machinery application. Compared to the traditional scenario reduction method, the proposed method further improves accuracy and reduction efficiency of CBM optimization.DOI: http://dx.doi.org/10.5755/j01.mech.23.5.15435

[1]  Noureddine Zerhouni,et al.  Review of prognostic problem in condition-based maintenance , 2009, 2009 European Control Conference (ECC).

[2]  Claudia A. Sagastizábal,et al.  Optimal scenario tree reduction for stochastic streamflows in power generation planning problems , 2010, Optim. Methods Softw..

[3]  Toshio Nakagawa,et al.  A summary of maintenance policies for a finite interval , 2009, Reliab. Eng. Syst. Saf..

[4]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[5]  Gautam Mitra,et al.  Stochastic programming and scenario generation within a simulation framework: An information systems perspective , 2007, Decis. Support Syst..

[6]  Rong Li,et al.  Residual-life distributions from component degradation signals: A Bayesian approach , 2005 .

[7]  J. Dupacová,et al.  Scenario reduction in stochastic programming: An approach using probability metrics , 2000 .

[8]  Lisa M. Maillart,et al.  Structured Replacement Policies for Components with Complex Degradation Processes and Dedicated Sensors , 2011, Oper. Res..

[9]  Vladimiro Miranda,et al.  Finding representative wind power scenarios and their probabilities for stochastic models , 2011, 2011 16th International Conference on Intelligent System Applications to Power Systems.

[10]  Yong Sun,et al.  A review on degradation models in reliability analysis , 2010, WCE 2010.

[11]  Zukui Li,et al.  Optimal scenario reduction framework based on distance of uncertainty distribution and output performance: I. Single reduction via mixed integer linear optimization , 2014, Comput. Chem. Eng..

[12]  Sarah M. Ryan,et al.  Scenario construction and reduction applied to stochastic power generation expansion planning , 2013, Comput. Oper. Res..

[13]  AlrabghiAbdullah,et al.  State of the art in simulation-based optimisation for maintenance systems , 2015 .

[14]  Werner Römisch,et al.  Scenario tree modeling for multistage stochastic programs , 2009, Math. Program..

[15]  C. James Li,et al.  Gear fatigue crack prognosis using embedded model, gear dynamic model and fracture mechanics , 2005 .

[16]  Ashutosh Tiwari,et al.  State of the art in simulation-based optimisation for maintenance systems , 2015, Comput. Ind. Eng..

[17]  N. Growe-Kuska,et al.  Scenario reduction and scenario tree construction for power management problems , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[18]  Mitra Fouladirad,et al.  Condition-based inspection/replacement policies for non-monotone deteriorating systems with environmental covariates , 2010, Reliab. Eng. Syst. Saf..

[19]  Jay Lee,et al.  Prognostics and health management design for rotary machinery systems—Reviews, methodology and applications , 2014 .

[20]  Zhigang Tian,et al.  Condition based maintenance optimization for multi-component systems using proportional hazards model , 2011, Reliab. Eng. Syst. Saf..

[21]  Michael Pecht,et al.  Prognostics uncertainty reduction by fusing on-line monitoring data based on a state-space-based degradation model , 2014 .

[22]  Amar Benmounah Optimization of maintenance intervals preventive and repair of gas turbines. Case of Algerian gas pipelines , 2014 .