On the limit reliability functions of regular homogeneous consecutive m out of l series and parallel systems

This paper focuses on analyzing the potential limit reliability functions of consecutive m-out-of-l:G systems arranged in series and parallel configurations. We begin by deriving explicit reliability formulas for these systems and then, investigate their asymptotic behavior using tools from extreme value theory and system reliability analysis.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-08-18
DOI
https://doi.org/10.56947/gjom.v20i2.3059
Primary Topic
Probabilistic and Robust Engineering Design
Type
article
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article

On the limit reliability functions of regular homogeneous consecutive m out of l series and parallel systems

Moussa Bouloudene, Soheir Belaloui
Gulf Journal of Mathematics
Probabilistic and Robust Engineering Design
article

On the limit reliability functions of regular homogeneous consecutive m out of l series and parallel systems

Moussa Bouloudene, Soheir Belaloui
article en

Abstract

This paper focuses on analyzing the potential limit reliability functions of consecutive m-out-of-l:G systems arranged in series and parallel configurations. We begin by deriving explicit reliability formulas for these systems and then, investigate their asymptotic behavior using tools from extreme value theory and system reliability analysis.

Gulf Journal of MathematicsVol. 20(2)
University Frères Mentouri Constantine 1 (DZ)
Openalex Percentile: Top 79%
Probabilistic and Robust Engineering Design
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On the limit reliability functions of regular homogeneous consecutive m out of l series and parallel systems — Moussa Bouloudene, Soheir Belaloui · Gulf Journal of Mathematics (2025) | TGRS Research Map | TGRS