Reliability of linear multistate multiple sliding window systems

Gregory Levitin

Naval Research Logistics (NRL), 2005, vol. 52, issue 3, 212-223

Abstract: This paper proposes a new model that generalizes the linear consecutive k‐out‐of‐r‐from‐n:F system to multistate case with multiple failure criteria. In this model (named linear multistate multiple sliding window system) the system consists of n linearly ordered multistate elements (MEs). Each ME can have different states: from complete failure up to perfect functioning. A performance rate is associated with each state. Several functions are defined for a set of integer numbers ρ in such a way that for each r ∈ ρ corresponding function fr produces negative values if the combination of performance rates of r consecutive MEs corresponds to the unacceptable state of the system. The system fails if at least one of functions fr for any r consecutive MEs for r ∈ ρ produces a negative value. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Date: 2005
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:52:y:2005:i:3:p:212-223

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