Customer-driven reliability models for multistate coherent systems

Boedigheimer, R.A.; Kapur, Kailash C.

doi:10.1109/24.285107

Cited by 97 publications

(46 citation statements)

References 27 publications

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“…For example the system components may be operating in a degraded state with the system still being able to provide an acceptable level of service (Natvig, 1982;Hudson and Kapur, 1983;Aven, 1985;Natvig et al, 1986;Boedigheimer and Kapur, 1994). For these systems, the theory of multistate reliability can offer modeling and computational procedures that better represent and account for system functioning.…”

Section: Introductionmentioning

confidence: 98%

A generalized multistate-based path vector approach to multistate two-terminal reliability

2006

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The two-terminal reliability problem assumes that a network and its elements are either in a working or a failed state. However, many practical networks are built of elements that may operate in more than two states i.e., elements may be degraded but still functional. Multistate two-terminal reliability at demand level d (M2TR d ) can be defined as the probability that the system capacity generated by multistate components is greater than or equal to a demand of d units. This paper presents a fully multistate-based algorithm that obtains the multistate equivalent of binary path sets, namely, Multistate Minimal Path Vectors (MMPVs), for the M2TR d problem.The algorithm mimics natural organisms in the sense that a select number of arcs inherit information from other specific arcs contained in a special set called the "primary set." The algorithm is tested and compared with published results in the literature. Two features of the algorithm make it relevant: (i) unlike other approaches, it does not depend on an a priori knowledge of the binary path sets to obtain the MMPVs; and (ii) the use of an information sharing approach and network reduction technique significantly reduce the number of vector analyses needed to obtain all the component levels that guarantee system success. Additionally, the complexities associated with the computation of reliability are discussed. A Monte Carlo simulation approach is used to obtain an accurate estimate of actual M2TR values based on MMPVs. Examples are used to validate the algorithm and the simulation procedure.

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Section: Introductionmentioning

confidence: 98%

A generalized multistate-based path vector approach to multistate two-terminal reliability

2006

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“…To compute this measure the analysis of the system degradation process is mandatory and, usually, the Markovian hypothesis is assumed. This means that the future evolution of the system depends only on the current system state (Boedigheimer and Kapur 1994;Xue and Yang 1995;Yang and Xue 1995;Aven and Jensen 1999). Recently, a non-homogeneous Markov process in order to consider the effect of the age of the system has been introduced (Liu and Kapur (2007)).…”

Section: The Semi-markov Degradation Processmentioning

confidence: 99%

“…The customer's utility is considered as a function of the working performance of a system (Boedigheimer and Kapur 1994;Xue and Yang 1995;Yang and Xue 1995). In particular, recently, a reliability measure based on the assumption that the degradation of a system follows a non-homogeneous continuous time Markov process has been proposed (Liu and Kapur 2006).…”

Section: Introductionmentioning

confidence: 99%

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A customer’s utility measure based on the reliability of multi-state systems

D’Amico

Biase

Manca³

2010

Decisions Econ Finan

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“…, X n ) This deterministic function is referred to as a "structure function." The techniques by which one may unambiguously specify the structure function for well-behaved binary and multistate models based on reduced sets of information (minimal pathslcuts or upper/ lower boundary points) are well-understood, and the techniques by which one may compute system probabilities based on component probabilities and this structure function for binary and multistate models are also wellunderstood [24].…”

Section: Continuum Structure Function Modelingmentioning

confidence: 99%

Review and classification of reliability measures for multistate and continuum models

Brunelle

Kapur

1999

IIE Transactions

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In this paper we examine a variety of customer-centered reliability measures, generalized to multistate and continuum contexts. A classification scheme is proposed for these measures, and a new measure based on customer-usage patterns is defined. In each case, reliability measures are defined such that they are equally valid for binary, multistate, continuum, and mixed systems. Techniqucs which facilitate the use of continuum models are discussed, and time-dynamic, infinite-time, and partial-information modeling considerations are also addressed.

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Customer-driven reliability models for multistate coherent systems

Cited by 97 publications

References 27 publications

A generalized multistate-based path vector approach to multistate two-terminal reliability

A generalized multistate-based path vector approach to multistate two-terminal reliability

A customer’s utility measure based on the reliability of multi-state systems

Review and classification of reliability measures for multistate and continuum models

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