Quantifying the impact of correlated failures on system reliability by a simulation approach

Correlation poses a serious threat to many engineered systems because the simultaneous failure of multiple components can dangerously degrade performance. Given the high cost of system failures in business and mission-critical applications, methods to explicitly consider the impact of correlation on system reliability are essential. This paper constructs a stochastic-flow network model to analyze the performance of a computer network, where there exists correlation between the failures of all the physical lines and routers comprising the edges and nodes of the network. That is, we address global-scale events that can cause widespread damage to the performance of the network. We propose a simulation approach to estimate the probability that a given amount of data can be sent from a source to sink through this network. This probability that the network satisfies a specified level of demand is referred to as the system reliability. Experimental results demonstrate that correlation can produce a substantial impact on system reliability. The proposed approach, thus, captures the influence of correlation on system reliability and offers a method to quantify the utility of reducing correlation.

[1]  Panlop Zeephongsekul,et al.  Reliability of systems with identically distributed correlated components , 2011 .

[2]  Terje Aven,et al.  Reliability Evaluation of Multistate Systems with Multistate Components , 1985, IEEE Transactions on Reliability.

[3]  Yi-Kuei Lin,et al.  Reliability Evaluation for an Information Network With Node Failure Under Cost Constraint , 2007, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[4]  Yi-Kuei Lin,et al.  Reliability of a stochastic-flow network with unreliable branches & nodes, under budget constraints , 2004, IEEE Trans. Reliab..

[5]  Wei-Chang Yeh An improved Monte-Carlo method for estimating the continuous-state network one-to-one reliability , 2007 .

[6]  David W. Coit,et al.  A Monte-Carlo simulation approach for approximating multi-state two-terminal reliability , 2005, Reliab. Eng. Syst. Saf..

[7]  Yi-Kuei Lin,et al.  Maximal network reliability for a stochastic power transmission network , 2011, Reliab. Eng. Syst. Saf..

[8]  Marco Laumanns,et al.  High‐confidence estimation of small s‐t reliabilities in directed acyclic networks , 2011, Networks.

[9]  David W. Coit,et al.  Multi-state component criticality analysis for reliability improvement in multi-state systems , 2007, Reliab. Eng. Syst. Saf..

[10]  Wei-Chang Yeh,et al.  Performance analysis of cellular automata Monte Carlo Simulation for estimating network reliability , 2010, Expert Syst. Appl..

[11]  Yi-Kuei Lin,et al.  Using minimal cuts to optimize network reliability for a stochastic computer network subject to assignment budget , 2011, Comput. Oper. Res..

[12]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[13]  Stéphane Bulteau,et al.  A new importance sampling Monte Carlo method for a flow network reliability problem , 2002 .

[14]  Yi-Kuei Lin,et al.  A simple algorithm for reliability evaluation of a stochastic-flow network with node failure , 2001, Comput. Oper. Res..

[15]  K. K. Aggarwal,et al.  A Simple Method for Reliability Evaluation of a Communication System , 1975, IEEE Trans. Commun..

[16]  Lance Fiondella,et al.  RELIABILITY AND SENSITIVITY ANALYSIS OF COHERENT SYSTEMS WITH NEGATIVELY CORRELATED COMPONENT FAILURES , 2010 .

[17]  George S. Fishman A Comparison of Four Monte Carlo Methods for Estimating the Probability of s-t Connectedness , 1986, IEEE Transactions on Reliability.

[18]  Hong-Zhong Huang,et al.  An efficient method for reliability evaluation of multistate networks given all minimal path vectors , 2007 .

[19]  Xue Janan,et al.  On Multistate System Analysis , 1985, IEEE Transactions on Reliability.

[20]  Weiwe-Chang Yeh A simple MC-based algorithm for evaluating reliability of stochastic-flow network with unreliable nodes , 2004, Reliab. Eng. Syst. Saf..

[21]  George S. Fishman,et al.  Evaluating Reliability of Stochastic Flow Networks , 1989 .

[22]  C. Alexopoulos A note on state-space decomposition methods for analyzing stochastic flow networks , 1995 .

[23]  Yi-Kuei Lin,et al.  Evaluation of system reliability for a cloud computing system with imperfect nodes , 2012, Syst. Eng..

[24]  D. R. Fulkerson,et al.  Flows in Networks. , 1964 .

[25]  Wei-Chang Yeh,et al.  A simple minimal path method for estimating the weighted multi-commodity multistate unreliable networks reliability , 2008, Reliab. Eng. Syst. Saf..

[26]  John Erik Hershey,et al.  Fast algorithm for computing the reliability of a communication network , 1991 .

[27]  Kailash C. Kapur,et al.  Reliability Bounds for Multistate Systems with Multistate Components , 1985, Oper. Res..