Reliability and optimal replacement policy for a k-out-of-n system subject to shocks

Abstract Consider a k-out-of-n system which is subject to shocks that occur at random times. Each shock causes failure of random number of components, and hence the system’s lifetime corresponds to one of the arrival times of shocks. The reliability and mean time to failure of the system are studied when the times between shocks follow a phase type distribution. The optimal replacement time problem which is concerned with the minimization of the total long-run average cost per unit time is also defined and studied.

[1]  Rafael Pérez-Ocón,et al.  Shock models under a Markovian arrival process , 2009, Math. Comput. Model..

[2]  Junye Wang,et al.  System integration, durability and reliability of fuel cells: Challenges and solutions , 2017 .

[3]  Yu Zhao,et al.  A new reliability analysis method for load-sharing k-out-of-n: F system based on load-strength model , 2019, Reliab. Eng. Syst. Saf..

[4]  Shey-Huei Sheu,et al.  Optimal replacement of a k-out-of-n system subject to shocks , 1992 .

[5]  M. Balat.  Potential importance of hydrogen as a future solution to environmental and transportation problems , 2008 .

[6]  Mitra Fouladirad,et al.  Reliability-based measures and prognostic analysis of a K-out-of-N system in a random environment , 2019, Eur. J. Oper. Res..

[7]  Serkan Eryilmaz.  The number of failed components in a k-out-of-n system consisting of multiple types of components , 2018, Reliab. Eng. Syst. Saf..

[8]  Yiying Zhang.  Optimal allocation of active redundancies in weighted k-out-of-n systems , 2018 .

[9]  Serkan Eryilmaz,et al.  Computing optimal replacement time and mean residual life in reliability shock models , 2017, Comput. Ind. Eng..

[10]  Kui Cai,et al.  Optimal replacement policies for a shock model with a change point , 2018, Comput. Ind. Eng..

[11]  Pierre-Etienne Labeau,et al.  Reliability of a multi-state system subject to shocks using phase-type distributions , 2013 .

[12]  Lirong Cui,et al.  MDD-based performability analysis of multi-state linear consecutive-k-out-of-n: F systems , 2017, Reliab. Eng. Syst. Saf..

[13]  Qi-Ming He,et al.  Fundamentals of Matrix-Analytic Methods , 2013, Springer New York.

[14]  Shey-Huei Sheu,et al.  An optimal replacement period for a k-out-of-n: F system subject to shocks , 2001 .

[15]  Georgios Skoulakis.  A general shock model for a reliability system , 2000, Journal of Applied Probability.

[16]  Gregory Levitin,et al.  Effect of element separation in series-parallel systems exposed to random shocks , 2017, Eur. J. Oper. Res..

[17]  Gregory Levitin,et al.  Optimal backup in heterogeneous standby systems exposed to shocks , 2017, Reliab. Eng. Syst. Saf..

[18]  Junye Wang,et al.  Barriers of scaling-up fuel cells: Cost, durability and reliability , 2015 .

[19]  Xiaoxin Guo,et al.  Reliability and maintenance policies for a two-stage shock model with self-healing mechanism , 2018, Reliab. Eng. Syst. Saf..

[20]  D. Coit,et al.  An approximation method for evaluating the reliability of a dynamic k-out-of-n:F system subjected to cyclic alternating operation conditions , 2017 .

[21]  Liudong Xing,et al.  Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values , 2018, Reliab. Eng. Syst. Saf..

[22]  Gregory Levitin,et al.  Redundancy optimization for series-parallel phased mission systems exposed to random shocks , 2017, Reliab. Eng. Syst. Saf..

[23]  Silvia Carpitella,et al.  k-out-of-n systems: An exact formula for the stationary availability and multi-objective configuration design based on mathematical programming and TOPSIS , 2018, J. Comput. Appl. Math..

[24]  Lirong Cui,et al.  Reliability for k-out-of-n:F balanced systems with m sectors , 2018 .

[25]  Lirong Cui,et al.  Extended Phase-type models for multistate competing risk systems , 2019, Reliab. Eng. Syst. Saf..

[26]  Enrico Zio,et al.  Reliability assessment of phased-mission systems under random shocks , 2018, Reliab. Eng. Syst. Saf..

[27]  David He,et al.  Reliability analysis of coherent systems subject to internal failures and external shocks , 2019, Reliab. Eng. Syst. Saf..