A New Continuous Multi-State Reliability Model with Time Dependent Component Performance Rate

A CSS1†is a system with the continues-state components. When a component has the ability to obtain all the situations from completely working to completely failed, it named continues-state component. In the real world, performance rate of elements are continuous and decrease by time. Continuity of components causes infinite working states and grows up the system states. In this paper we propose a new method for series-parallel continues-state RAP2‡using UGF3§for multi-state systems. In this method at first we consider a binary CFR4**system. Using Weibull distribution function for the performance rate of working state, this system upgraded to a CSC. Then the UGF for a series-parallel system has been studied and a numerical example presented to illustrate the reliability and availability computation.

[1]  Igor Ushakov.  Universal Generating Functions , 2013 .

[2]  Laurence A. Baxter,et al.  BOUNDING THE STOCHASTIC PERFORMANCE OF CONTINUUM STRUCTURE FUNCTIONS. I , 1986 .

[3]  W. E. Vesely,et al.  Principles of resource-effectiveness and regulatory-effectiveness for risk-informed applications: , 1999 .

[4]  Ching-Hsue Cheng,et al.  Fuzzy system reliability analysis by interval of confidence , 1993 .

[5]  Way Kuo,et al.  Recent Advances in Optimal Reliability Allocation , 2007, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[6]  K. Kapur,et al.  Continuous-state system-reliability: an interpolation approach , 1998 .

[7]  Mohammad Amin Nayebi,et al.  Fuzzy-Chance Constrained Multi-Objective Programming Applications for Inventory Control Model , 2012 .

[8]  Yi Ding,et al.  Fuzzy universal generating functions for multi-state system reliability assessment , 2008, Fuzzy Sets Syst..

[9]  Igor Ushakov,et al.  The method of generalized generating sequences , 2000, Eur. J. Oper. Res..

[10]  Gregory Levitin,et al.  Structure optimization of multi-state system with time redundancy , 2000, Reliab. Eng. Syst. Saf..

[11]  Xiaonan Zhang,et al.  Multi-state system reliability assessment based on Bayesian networks , 2014 .

[12]  Robert Lewis Reuben,et al.  Probabilistic reliability engineering: Genedenko and Ushakov , 1997 .

[13]  Gregory Levitin,et al.  Joint redundancy and maintenance optimization for multistate series–parallel systems , 1999 .

[14]  D. Elmakis,et al.  Redundancy optimization for series-parallel multi-state systems , 1998 .

[15]  Gregory Levitin,et al.  Optimal allocation of multi-state retransmitters in acyclic transmission networks , 2002, Reliab. Eng. Syst. Saf..

[16]  Anatoly Lisnianski.  Estimation of boundary points for continuum-state system reliability measures , 2001, Reliab. Eng. Syst. Saf..

[17]  Richard E. Barlow,et al.  Coherent Systems with Multi-State Components , 1978, Math. Oper. Res..

[18]  Henry W. Block,et al.  Continuous Multistate Structure Functions , 1984, Oper. Res..