A Bayesian model and numerical algorithm for CBM availability maximization

Jiang, Rui; Kim, Michael Jong; Makiš, Viliam

doi:10.1007/s10479-011-1013-1

Cited by 10 publications

(2 citation statements)

References 40 publications

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“…However, this assumption is no longer valid when the system state is monitored at discrete times, which is the usual practice. Recently, Kim et al (2011);Jiang et al (2012); Kim and Makis (2013) developed a condition based maintenance model with two failure modes. One common assumption in these papers is that the sudden failure can only occur after completing the sojourn time in the healthy state with a fixed probability.…”

Section: Introductionmentioning

confidence: 99%

Reliability estimation of a production system subject to condition monitoring with two modes of failures

Khaleghei

Makiš

2015

IFAC-PapersOnLine

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In this paper, we present a new fault prediction model for a partially observable production system subject to two failure modes, namely a catastrophic failure and a failure due to the system degradation. The degradation process is described by a three states hidden Markov model(HMM). It is assumed that the time to sudden failure is dependent on system operating state. The parameter estimation procedure based on the Expectation-Maximization(EM) algorithm is developed. Explicit formulas for the conditional reliability function and the mean residual life are derived in terms of the posterior probability that the system is in the warning state. The method is illustrated using simulated data. The effectiveness of the proposed HMM to predict failures is then compared with the performance of the previously published HM model.

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Section: Introductionmentioning

confidence: 99%

Reliability estimation of a production system subject to condition monitoring with two modes of failures

Khaleghei

Makiš

2015

IFAC-PapersOnLine

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“…Among the studies of repairable systems, Markov models (e.g. Ridder 2005;Jiang et al 2012) hold a considerably important position. Markov repairable systems have been widely used in reliability theory and practice, such as by Cui and Li (2004).…”

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confidence: 99%

Reliability measures for two-part partition of states for aggregated Markov repairable systems

Cui

Zhang

2012

Ann Oper Res

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Three models for the aggregated stochastic processes based on an underlying continuous-time Markov repairable system are developed in which two-part partition of states is used. Several availability measures such as interval availability, instantaneous availability and steady-state availability are presented. Some of these availabilities are derived by using Laplace transforms, which are more compact and concise. Other reliabilitydistributions for these three models are given as well. Keywords Two-part partition • Aggregation • Repairable systems • Availability measures • Distributions 1 IntroductionRepairable systems have been increasingly studied in the field of reliability (e.g. Altinel et al. 2011 andCancela et al. 2012). For example, Cui and Xie (2001, 2004) considered periodically inspected repairable systems. Cui and Li (2004) described a repairable system in which the number of allowed repairs is finite. Guo et al. (2007) proposed a new general repair model based on the number of repairs. The class of coherent systems composed of random failing repairable components is studied by Kiureghian et al. (2007). And the segregated failures model of availability of fault-tolerant computer systems with severable recovery procedures are presented by Vilkomir et al. (2008). Moreover, Ambani et al. (2010) discussed exponential machines with maintenance-reliability coupling problem. Yu and Cui (2010) studied a two-stage directed network of Markov repairable systems. Peng et al. (2011) considered the reliability and maintenance modeling for multiple dependent competing failure processes, and so forth (e.g. Srinivasan and Subramanian 2006).

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Optimal maintenance scheduling for a complex manufacturing system subject to deterioration

Ahmadi

2014

Ann Oper Res

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A Bayesian model and numerical algorithm for CBM availability maximization

Cited by 10 publications

References 40 publications

Reliability estimation of a production system subject to condition monitoring with two modes of failures

Reliability estimation of a production system subject to condition monitoring with two modes of failures

Reliability measures for two-part partition of states for aggregated Markov repairable systems

Optimal maintenance scheduling for a complex manufacturing system subject to deterioration

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