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Reliability of linear multistate multiple sliding window systems
Author(s) -
Levitin Gregory
Publication year - 2005
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.20063
Subject(s) - reliability (semiconductor) , sliding window protocol , function (biology) , failure rate , set (abstract data type) , integer (computer science) , mathematics , state (computer science) , moment (physics) , value (mathematics) , algorithm , computer science , window (computing) , discrete mathematics , combinatorics , statistics , physics , power (physics) , quantum mechanics , classical mechanics , evolutionary biology , biology , programming language , operating system
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 f r 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 f r 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.