Reliability analysis of systems with components having two dependent subcomponents

ABSTRACT In this article, a system that consists of n independent components each having two dependent subcomponents (Ai, Bi), i = 1, …, n is considered. The system is assumed to compose of components that have two correlated subcomponents (Ai, Bi), and functions iff both systems of subcomponents A1, A2, …, An and B1, B2, …, Bn work under certain structural rules. The expressions for reliability and mean time to failure of such systems are obtained. A sufficient condition to compare two systems of bivariate components in terms of stochastic ordering is also presented.

[1]  Anatoly Lisnianski,et al.  Recent Advances in System Reliability , 2012 .

[2]  N. Balakrishnan,et al.  Signature-based representations for the reliability of systems with heterogeneous components , 2011 .

[3]  A. C. Aitken,et al.  XI.—On Fourfold Sampling with and without Replacement , 1936 .

[4]  Lirong Cui,et al.  On the Accelerated Scan Finite Markov Chain Imbedding Approach , 2009, IEEE Transactions on Reliability.

[5]  Way Kuo,et al.  Importance Measures in Reliability, Risk, and Optimization: Principles and Applications , 2012 .

[6]  Lirong Cui,et al.  Reliabilities of Consecutive-k Systems , 2011, Network Theory and Applications.

[7]  Serkan Eryilmaz.  Review of recent advances in reliability of consecutive k-out-of-n and related systems , 2010 .

[8]  Serkan Eryilmaz,et al.  Computing the Signature of a Generalized k-Out-of-n System , 2015, IEEE Trans. Reliab..

[9]  Francisco J. Samaniego,et al.  System Signatures and Their Applications in Engineering Reliability , 2007 .

[10]  O. Vorobyev,et al.  Discrete multivariate distributions , 2008, 0811.0406.

[11]  Markos V. Koutras,et al.  Signature and IFR Preservation of 2-Within-Consecutive k -out-of- n : F Systems , 2011, IEEE Trans. Reliab..

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

[13]  Ismihan Bayramoglu.  Reliability and Mean Residual Life of Complex Systems With Two Dependent Components Per Element , 2013, IEEE Transactions on Reliability.

[14]  Ceki Franko,et al.  Signature Based Reliability Analysis of Repairable Weighted k-Out-of-n:G Systems , 2016, IEEE Transactions on Reliability.

[15]  Lirong Cui,et al.  Developments and Applications of the Finite Markov Chain Imbedding Approach in Reliability , 2010, IEEE Transactions on Reliability.

[16]  Ceki Franko,et al.  Reliability and Some Characteristics of Circular Consecutive-k-Within-m-Out-of-n:F System , 2014, Commun. Stat. Simul. Comput..

[17]  Markos V. Koutras,et al.  Reliability Properties of $(n,f,k)$ Systems , 2014, IEEE Transactions on Reliability.

[18]  Ioannis S. Triantafyllou.  Consecutive-Type Reliability Systems: An Overview and Some Applications , 2015 .

[19]  Jorge Navarro,et al.  Computations of Signatures of Coherent Systems with Five Components , 2009, Commun. Stat. Simul. Comput..