Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures

This paper deals with the assessment of the maintenance cost and the performance of a system under a finite planning horizon. The system is subject to two dependent causes of failure: internal degradation and sudden shocks. We assume that internal degradation follows a gamma process. When the deterioration level of the degradation process exceeds a threshold, a degradation failure occurs. Sudden shocks arrive at the system following a doubly stochastic Poisson process (DSPP). A sudden shock provokes the system failure. A condition-based maintenance (CBM) with periodic inspection times is implemented. Recursive methods combining numerical integration and Monte Carlo simulation are developed to evaluate the expected cost rate and its standard deviation. Also, recursive methods to calculate the reliability, the availability and the interval reliability of the system are given. Numerical examples are provided to illustrate the analytical results.

[1]  Khac Tuan Huynh,et al.  A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events , 2011, Reliab. Eng. Syst. Saf..

[2]  Inmaculada Torres Castro,et al.  A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes , 2015, Reliab. Eng. Syst. Saf..

[3]  Hoang Pham,et al.  A condition-based maintenance model for periodically inspected systems subjected to competing failure processes , 2011, Int. J. Syst. Assur. Eng. Manag..

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

[5]  Enrico Zio,et al.  Modeling dependent competing failure processes with degradation-shock dependence , 2017, Reliab. Eng. Syst. Saf..

[6]  Vilijandas Bagdonavičius,et al.  Statistical Analysis of Linear Degradation and Failure Time Data with Multiple Failure Modes , 2004, Lifetime data analysis.

[7]  M D Pandey,et al.  Finite-time maintenance cost analysis of engineering systems affected by stochastic degradation , 2011 .

[8]  Inma T. Castro,et al.  Performance measures for a deteriorating system subject to imperfect maintenance and delayed repairs , 2016 .

[9]  David W. Coit,et al.  Condition-Based Maintenance for Repairable Deteriorating Systems Subject to a Generalized Mixed Shock Model , 2015, IEEE Transactions on Reliability.

[10]  Loon Ching Tang,et al.  A Distribution-Based Systems Reliability Model Under Extreme Shocks and Natural Degradation , 2011, IEEE Transactions on Reliability.

[11]  Reza Ahmadi.  A NEW APPROACH TO MODELING CONDITION-BASED MAINTENANCE FOR STOCHASTICALLY DETERIORATING SYSTEMS , 2014 .

[12]  Inmaculada Torres Castro,et al.  Maintenance Policy for a System With Stochastically Dependent Failure Modes With Shock-Accumulation Effect , 2016, IEEE Transactions on Reliability.

[13]  Mitra Fouladirad,et al.  Condition-based maintenance for a system subject to a non-homogeneous wear process with a wear rate transition , 2011, Reliab. Eng. Syst. Saf..

[14]  I. T. Castro,et al.  Analysis of the reliability and the maintenance cost for finite life cycle systems subject to degradation and shocks , 2017 .

[15]  Hong-Zhong Huang,et al.  Analysis of maintenance policies for finite life-cycle multi-state systems , 2010, Comput. Ind. Eng..

[16]  Mahesh D. Pandey,et al.  The probability distribution of maintenance cost of a system affected by the gamma process of degradation: Finite time solution , 2012, Reliab. Eng. Syst. Saf..

[17]  Ali Azadeh,et al.  An integrated systemic model for optimization of condition-based maintenance with human error , 2014, Reliab. Eng. Syst. Saf..

[18]  Mikhail Nikulin,et al.  Analysis of joint multiple failure mode and linear degradation data with renewals , 2007 .

[19]  Nozer D. Singpurwalla,et al.  Survival in Dynamic Environments , 1995 .

[20]  Dragan Banjevic,et al.  Periodic inspection optimization model for a complex repairable system , 2010, Reliab. Eng. Syst. Saf..

[21]  Khac Tuan Huynh,et al.  Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks , 2012, Eur. J. Oper. Res..

[22]  Shahrul Kamaruddin,et al.  An overview of time-based and condition-based maintenance in industrial application , 2012, Comput. Ind. Eng..

[23]  Jan M. van Noortwijk,et al.  A survey of the application of gamma processes in maintenance , 2009, Reliab. Eng. Syst. Saf..

[24]  Hao Peng,et al.  A condition-based maintenance policy for multi-component systems with a high maintenance setup cost , 2015, OR Spectr..

[25]  Inmaculada Torres Castro,et al.  A condition-based maintenance for a system subject to multiple degradation processes and external shocks , 2015, Int. J. Syst. Sci..

[26]  S. Taylor,et al.  LÉVY PROCESSES (Cambridge Tracts in Mathematics 121) , 1998 .

[27]  Nikolaos Limnios,et al.  Reliability Measures of Semi-Markov Systems with General State Space , 2012 .

[28]  Jan M. van Noortwijk,et al.  Statistical Modeling of the Serviceability of Sewage Pumps , 2006 .