Volume 42 Issue 3
Mar.  2016
Turn off MathJax
Article Contents
ZHAI Qingqing, YANG Jun, PENG Rui, et al. Multi-valued decision diagram based reliability modeling of warm standby systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3): 459-464. doi: 10.13700/j.bh.1001-5965.2015.0153(in Chinese)
Citation: ZHAI Qingqing, YANG Jun, PENG Rui, et al. Multi-valued decision diagram based reliability modeling of warm standby systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3): 459-464. doi: 10.13700/j.bh.1001-5965.2015.0153(in Chinese)

Multi-valued decision diagram based reliability modeling of warm standby systems

doi: 10.13700/j.bh.1001-5965.2015.0153
Funds:  the Innovation Foundation of BUAA for PhD Graduates (YWF-14-YJSY-035)
  • Received Date: 18 Mar 2015
  • Publish Date: 20 Mar 2016
  • As a generalization of cold and hot standby technique, warm standby has been widely used in the system design. This paper focuses on the reliability modeling of warm standby systems and extends a multi-valued decision diagram (MDD) based system reliability modeling approach. By concentrating on the failures in the system, the existing method first constructed the failure level MDD and system MDD, and then obtained the analytical expression for the system reliability based on the system MDD. However, the system reliability expression is a mixture of integrals of different dimensions, which requires some manual rearrangement to calculate the system reliability at given time. Based on the existing work, we suggest an MDD splitting procedure after obtaining the system level MDD and a reassignment for the probabilities of the edges in the system MDD. With this extension, the numerical value for the system reliability at any given time can be easily obtained and the MDD based reliability evaluation approach for warm standby systems is completed.

     

  • loading
  • [1]
    AMARI S V, DILL G.A new method for reliability analysis of standby systems[C]//Proceedings of Annual Reliability and Maintainability Symposium (RAMS2009).Piscataway,NJ:IEEE Press,2009:417-422.
    [2]
    AMARI S V, PHAM H,MISRA R B.Reliability characteristics of k-out-of-n warm standby systems[J].IEEE Transactions on Reliability,2012,61(4):1007-1018.
    [3]
    TANNOUS O, XING L.Efficient analysis of warm standby systems using central limit theorem[C]//Proceedings of Annual Reliability and Maintainability Symposium (RAMS2012).Piscataway,NJ:IEEE Press,2012:1-6.
    [4]
    PAPAGEORGIOU E, KOKOLAKIS G.Reliability analysis of a two-unit general parallel system with (n-2) warm standbys[J].European Journal of Operational Research,2010,201(3):821-827.
    [5]
    SHE J, PECHT M.Reliability of a k-out-of-n warm-standby system[J].IEEE Transactions on Reliability,1992,41(1):72-75.
    [6]
    PENG R, ZHAI Q,XING L,et al.Reliability of 1-out-of-(n+1) warm standby systems subject to fault level coverage[J].International Journal of Performability Engineering,2013,9(1):117-120.
    [7]
    ZHAI Q, PENG R,XING L,et al.BDD-based reliability evaluation of k-out-of-(n+k) warm standby systems subject to fault-level coverage[J].Proceedings of the Institution of Mechanical Engineers,Part O:Journal of Risk and Reliability,2013,227(5):540-548.
    [8]
    TANNOUS O, XING L,DUGAN J.Reliability analysis of warm standby systems using sequential BDD[C]//Proceedings of Annual Reliability and Maintainability Symposium (RAMS2011).Piscataway,NJ:IEEE Press,2011:1-7.
    [9]
    ZHAI Q, PENG R,XING L,et al.Reliability of demand-based warm standby systems subject to fault level coverage[J].Applied Stochastic Models in Business and Industry,2015,31(3):380-393.
    [10]
    KUO W, ZUO M J.Optimal reliability modeling:Principles and applications[M].Hoboken:John Wiley & Sons,2003:231-280.
    [11]
    AKERS J, BERGMAN R,AMARI S V,et al.Analysis of multi-state systems using multi-valued decision diagrams[C]//Proceedings of Annual Reliability and Maintainability Symposium (RAMS2008).Piscataway,NJ:IEEE Press,2008:347-353.
    [12]
    XING L, DAI Y.A new decision-diagram-based method for efficient analysis on multistate systems[J].IEEE Transactions on Dependable and Secure Computing,2009,6(3):161-174.
    [13]
    SHRESTHA A, XING L,COIT D W.An efficient multistate multivalued decision diagram-based approach for multistate system sensitivity analysis[J].IEEE Transactions on Reliability,2010,59(3):581-592.
    [14]
    AMARI S V, XING L,SHRESTHA A,et al.Performability analysis of multistate computing systems using multivalued decision diagrams[J].IEEE Transactions on Computers,2010,59(10):1419-1433.
    [15]
    BERNTSEN J, ESPELID T O.Error estimation in automatic quadrature routines[J].ACM Transactions on Mathematical Software (TOMS),1991,17(2):233-252.
    [16]
    GENZ A, COOLS R.An adaptive numerical cubature algorithm for simplices[J].ACM Transactions on Mathematical Software (TOMS),2003,29(3):297-308.
    [17]
    MYERS A F. k-out-of-n:G system reliability with imperfect fault coverage[J].IEEE Transactions on Reliability,2007,56(3):464-473.
    [18]
    AMARI S V, MYERS A F,RAUZY A,et al.Imperfect coverage models:Status and trends[M]//MISRA K B.Handbook of performability engineering.London:Springer,2008:321-348.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(850) PDF downloads(508) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return