A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k-out-of-n: F systems

In this paper, a dynamic evaluation of the multistate weighted k-out-of-n:F system is presented in an unreliability viewpoint. The expected failure cost of components is used as an unreliability index. Using failure cost provides an opportunity to employ financial concepts in system unreliability estimation. Hence, system unreliability and system cost can be compared easily in order to making decision. The components' probabilities are computed over time to model the dynamic behavior of the system. The whole system has been assessed by recursive algorithm approach. As a result, a bi-objective optimization model can be developed to find optimal decisions on maintenance strategies. Finally, the application of the proposed model is investigated via a transportation system case. Matlab programming is developed for the case, and genetic algorithm is used to solve the optimization model. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  H. A. Khorshidi,et al.  Investigation on system reliability optimization based on classification of criteria , 2013, 2013 IEEE International Conference on Industrial Technology (ICIT).

[2]  Hossein Zoulfaghari,et al.  Bi-objective redundancy allocation problem for a system with mixed repairable and non-repairable components. , 2014, ISA transactions.

[3]  Hasan Selim,et al.  A Dynamic Maintenance Planning Framework Based on Fuzzy TOPSIS and FMEA: Application in an International Food Company , 2016, Qual. Reliab. Eng. Int..

[4]  Min Xie,et al.  A value-based preventive maintenance policy for multi-component system with continuously degrading components , 2014, Reliab. Eng. Syst. Saf..

[5]  David W. Coit,et al.  A two-stage approach for multi-objective decision making with applications to system reliability optimization , 2009, Reliab. Eng. Syst. Saf..

[6]  Yan Yuan,et al.  Universal generating function based recursive algorithms for reliability evaluation of multi-state weighted k-out-of-n systems , 2012 .

[7]  Ming J. Zuo,et al.  Multi-state k-out-of-n systems and their performance evaluation , 2008 .

[8]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[9]  Gregory Levitin,et al.  Multi-State System Reliability - Assessment, Optimization and Applications , 2003, Series on Quality, Reliability and Engineering Statistics.

[10]  Wei Li,et al.  Reliability evaluation of multi-state weighted k-out-of-n systems , 2008, Reliab. Eng. Syst. Saf..

[11]  Indra Gunawan,et al.  Financial view and profitability evaluation on multi-state weighted k-out-of-n:F system reliability , 2015 .

[12]  Hisashi Yamamoto,et al.  An Evaluating Algorithm for System State Distributions of Generalized Multi-state k-out-of-n:F Systems , 2011 .

[13]  Wei Li,et al.  Optimal design of multi-state weighted k-out-of-n systems based on component design , 2008, Reliab. Eng. Syst. Saf..

[14]  Enrico Zio,et al.  Definition of multi-state weighted k-out-of-n: F systems , 2012 .

[15]  David W. Coit,et al.  Multi-objective optimization using genetic algorithms: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[16]  Seung J. Rhee,et al.  Using cost based FMEA to enhance reliability and serviceability , 2003, Adv. Eng. Informatics.

[17]  Wei Li,et al.  The Hierarchical Weighted Multi-State $k$-out-of- $n$ System Model and Its Application for Infrastructure Management , 2010, IEEE Transactions on Reliability.

[18]  N. Wattanapongsakorn,et al.  Multi-objective optimization for k-out-of-n redundancy allocation problem , 2012, 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering.

[19]  David W. Coit,et al.  Dynamic k-out-of-n system reliability with component partnership , 2015, Reliab. Eng. Syst. Saf..

[20]  Hisashi Yamamoto,et al.  Economic design of a load-sharing consecutive k-out-of-n:F system , 2012 .

[21]  Rong-Jaye Chen,et al.  An algorithm for computing the reliability of weighted-k-out-of-n systems , 1994 .

[22]  Jianbo Yu,et al.  An effective heuristic for flexible job-shop scheduling problem with maintenance activities , 2010, Comput. Ind. Eng..

[23]  Gregory Levitin,et al.  A joint reliability-redundancy optimization approach for multi-state series-parallel systems , 2009, Reliab. Eng. Syst. Saf..

[24]  Mostafa Abouei Ardakan,et al.  Optimizing bi-objective redundancy allocation problem with a mixed redundancy strategy. , 2015, ISA transactions.

[25]  S. Eryilmaz,et al.  Modeling and analysis of weighted-k-out-of-n: G system consisting of two different types of components , 2014 .

[26]  Joseph H. Saleh,et al.  Reliability: How much is it worth? Beyond its estimation or prediction, the (net) present value of reliability , 2006, Reliab. Eng. Syst. Saf..

[27]  Joseph H. Saleh,et al.  Beyond its cost, the value of maintenance: An analytical framework for capturing its net present value , 2009, Reliab. Eng. Syst. Saf..

[28]  Min Xie,et al.  Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems , 2014, Reliab. Eng. Syst. Saf..

[29]  Hadi Akbarzadeh Khorshidi,et al.  System reliability optimization using time value of money , 2013 .

[30]  Yanhua Yang,et al.  Reliability analysis of non-repairable systems modeled by dynamic fault trees with priority AND gates , 2015 .

[31]  Yong Wang,et al.  Reliability and covariance estimation of weighted k-out-of-n multi-state systems , 2012, Eur. J. Oper. Res..

[32]  Enrique López Droguett,et al.  Redundancy allocation problems considering systems with imperfect repairs using multi-objective genetic algorithms and discrete event simulation , 2011, Simul. Model. Pract. Theory.

[33]  Xiaohu Li,et al.  On allocating redundancies to k-out-of- n reliability systems , 2014 .

[34]  Indra Gunawan,et al.  On Reliability Evaluation of Multistate Weighted k-out-of-n System Using Present Value , 2015 .

[35]  Ajith Kumar Parlikad,et al.  Maintenance Optimization for Asset Systems With Dependent Performance Degradation , 2013 .

[36]  Yi Ding,et al.  Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers , 2010 .

[37]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[38]  Serkan Eryilmaz,et al.  Lifetime of Multistate k‐out‐of‐n Systems , 2014, Qual. Reliab. Eng. Int..

[39]  A. Blokus-Roszkowska,et al.  Reliability and risk analysis of a ground ship-rope transporter in variable operation conditions , 2009 .

[40]  Min Xie,et al.  Dynamic modeling of general three-state k-out-of-n: G systems: Permanent-based computational results , 2014, J. Comput. Appl. Math..

[41]  Krzysztof Kolowrocki,et al.  Reliability and risk analysis of large systems with ageing components , 2008, Reliab. Eng. Syst. Saf..