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<p>This study evaluates the interval-valued availability of a linear consecutive <i>k-</i>out-of-<i>n</i>: F system while considering uncertainty, where the probability that the system will perform as intended is not known with precision. The proposed system is susceptible to <i>µ</i> number of different failure modes and undergoes periodic inspections. Each failure mode has a randomly assigned failure time, and upon failure due to the <i>m</i>th failure mode, an immediate corrective repair is carried out, taking an arbitrary length of time <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41872_2025_302_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\({\psi }_{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ψ</mi> <mi>m</mi> </msub> </math></EquationSource> </InlineEquation> (<i>m</i> = 1, 2,…, <i>µ</i>). By integrating these factors, this research establishes theorems describing point and steady-state availability bounds. Subsequently, it conducts a sensitivity assessment to evaluate how variations in the inspection period affect the system’s availability. The findings are demonstrated with an instance of an oil pipeline system. This study offers valuable insights into the reliability and availability modelling of complex systems under uncertainty, with applications across diverse engineering domains.</p>

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Availability assessment of repairable linear consecutive k-out-of-n: F systems incorporating uncertainty and multiple failure modes

  • 期刊论文

  • 发表日期：

    2025年3月17日

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  • Amisha Khati,
  • S. B. Singh

摘要

This study evaluates the interval-valued availability of a linear consecutive k-out-of-n: F system while considering uncertainty, where the probability that the system will perform as intended is not known with precision. The proposed system is susceptible to µ number of different failure modes and undergoes periodic inspections. Each failure mode has a randomly assigned failure time, and upon failure due to the mth failure mode, an immediate corrective repair is carried out, taking an arbitrary length of time \({\psi }_{m}\) ψ m (m = 1, 2,…, µ). By integrating these factors, this research establishes theorems describing point and steady-state availability bounds. Subsequently, it conducts a sensitivity assessment to evaluate how variations in the inspection period affect the system’s availability. The findings are demonstrated with an instance of an oil pipeline system. This study offers valuable insights into the reliability and availability modelling of complex systems under uncertainty, with applications across diverse engineering domains.