<p>In this article, a time truncated attribute control chart is proposed for generalized Rayleigh distribution based on multiple dependent state repetitive sampling plan (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13198_2025_2893_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="89" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathcal {MDSRSP}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">MDSRSP</mi> </math></EquationSource> </InlineEquation>). The performance of the proposed control chart is evaluated in terms of average run length (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13198_2025_2893_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathcal {ARL}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">ARL</mi> </math></EquationSource> </InlineEquation>). Furthermore, the efficiency of the proposed attribute control chart is compared with other sampling plans, viz., the single sampling plan (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13198_2025_2893_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathcal {SSP}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">SSP</mi> </math></EquationSource> </InlineEquation>), multiple dependent state sampling plan (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13198_2025_2893_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="75" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathcal {MDSSP}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">MDSSP</mi> </math></EquationSource> </InlineEquation>), repetitive sampling plan (<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13198_2025_2893_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathcal {RSP}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">RSP</mi> </math></EquationSource> </InlineEquation>) for shifts in the median lifetime. Also, the applications of the proposed control chart are illustrated by using hypothetical and simulated examples as well as two real life examples, respectively.</p>

Time truncated attribute control chart using acceptance sampling plans: a comparative study

期刊论文
发表日期：

2025年7月22日

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Mahendra Saha,
Pratibha Pareek,
Harsh Tripathi,
Anju Devi

摘要

In this article, a time truncated attribute control chart is proposed for generalized Rayleigh distribution based on multiple dependent state repetitive sampling plan ( $\mathcal {MDSRSP}$ $MDSRSP$ ). The performance of the proposed control chart is evaluated in terms of average run length ( $\mathcal {ARL}$ $ARL$ ). Furthermore, the efficiency of the proposed attribute control chart is compared with other sampling plans, viz., the single sampling plan ( $\mathcal {SSP}$ $SSP$ ), multiple dependent state sampling plan ( $\mathcal {MDSSP}$ $MDSSP$ ), repetitive sampling plan ( $\mathcal {RSP}$ $RSP$ ) for shifts in the median lifetime. Also, the applications of the proposed control chart are illustrated by using hypothetical and simulated examples as well as two real life examples, respectively.