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b/README.rst index 3fbbb10..abeeef8 100755 --- a/README.rst +++ b/README.rst @@ -84,11 +84,12 @@ OpenTURNS Presentations - User day 2024 - `Release highlights `_ + - `Automotive Reliability Engineering with OpenTURNS : the Phimeca product for Renault : StaRe (STAtistical REliability) `_ - Uncecomp 2023 - `Slides `_ - + - CHORUS - `Low rank tensor approximation `_ @@ -124,4 +125,3 @@ OpenTURNS Presentations - `Applibugs 2023 `_ - `SIAM-UQ 2024 `_ - diff --git a/userday2024/ud2024-renault-phimeca/Illustration_StaRe/CDF.png b/userday2024/ud2024-renault-phimeca/Illustration_StaRe/CDF.png new file mode 100755 index 0000000000000000000000000000000000000000..254d838079149453314d9fbba039dd3a9d60d225 GIT binary patch literal 16534 zcmbVz1z1(|$A>Gm;-3vrz)7_~^cQ^dw z!*kEQ=iI;dv-aAXx#pZ-kMWLoyuBkY$<1|V`-yhu8rxMm>O#{TRbz@);6)wGqs#QgcE?9 zZlIfl&9${G^-WD^kiM&TRa?`=lfNAFpLHh z|LdN-ZTRefle)as;Qr$J3)UO){x{yeP1e^}EF=jH`TWUxfBHw+%+lxFD1jRsJqA_- 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style of nodes: + basebis/.style = {rectangle, rounded corners, draw=black, + minimum width=0.8cm, + text width=7em, + minimum height=1cm, + text centered, font=\sffamily}, + activityStarts/.style = {base, fill=blue!30}, + startstop/.style = {base, fill=red!30}, + activityRuns/.style = {base, fill=green!30}, + process/.style = {base, minimum width=2.5cm, fill=orange!15, + font=\ttfamily}, +} + +\tikzset{% + >={Latex[width=2mm,length=2mm]}, + % Specifications for style of nodes: + demand/.style = {ellipse, draw=black, + text centered, font=\sffamily}, + activityStarts/.style = {base, fill=blue!30}, + startstop/.style = {base, fill=red!30}, + activityRuns/.style = {base, fill=green!30}, + process/.style = {base, minimum width=2.5cm, fill=orange!15, + font=\ttfamily}, +} + +\makeatletter +\tikzset{ + database/.style={ + path picture={ + \draw (0, 1.5*\database@segmentheight) circle [x radius=\database@radius,y + radius=\database@aspectratio*\database@radius]; + \draw (-\database@radius, 0.5*\database@segmentheight) arc [start angle=180,end angle=360,x + radius=\database@radius, y radius=\database@aspectratio*\database@radius]; + \draw (-\database@radius,-0.5*\database@segmentheight) arc [start angle=180,end angle=360,x + radius=\database@radius, y radius=\database@aspectratio*\database@radius]; + \draw (-\database@radius,1.5*\database@segmentheight) -- ++(0,-3*\database@segmentheight) arc [start + angle=180,end angle=360,x radius=\database@radius, y radius=\database@aspectratio*\database@radius] -- ++ + (0,3*\database@segmentheight); + }, + minimum width=2*\database@radius + \pgflinewidth, + minimum height=3*\database@segmentheight + 2*\database@aspectratio*\database@radius + \pgflinewidth, + }, + database segment height/.store in=\database@segmentheight, + database radius/.store in=\database@radius, + database aspect ratio/.store in=\database@aspectratio, + database segment height=0.1cm, + database radius=0.25cm, + database aspect ratio=0.35, +} +%-------------------------------------------------------- +%-------------------------------------------------------- + +\usepackage{xcolor} +\usepackage[most]{tcolorbox} +\usepackage{listings} + +\definecolor{white}{rgb}{1,1,1} +\definecolor{mygreen}{rgb}{0,0.4,0} +\definecolor{light_gray}{rgb}{0.97,0.97,0.97} +\definecolor{mykey}{rgb}{0.117,0.403,0.713} + +\tcbuselibrary{listings} +\newlength\inwd +\setlength\inwd{1.3cm} + +\newcounter{ipythcntr} +\renewcommand{\theipythcntr}{\texttt{[\arabic{ipythcntr}]}} + +\newtcblisting{pyin}[1][]{% + sharp corners, + enlarge left by=\inwd, + width=\linewidth-\inwd, + enhanced, + boxrule=0pt, + colback=light_gray, + listing only, + top=0pt, + bottom=0pt, + overlay={ + \node[ + anchor=north east, + text width=\inwd, + font=\footnotesize\ttfamily\color{mykey}, + inner ysep=2mm, + inner xsep=0pt, + outer sep=0pt + ] + at (frame.north west) + {\refstepcounter{ipythcntr}\label{#1}In \theipythcntr:}; + } + listing engine=listing, + listing options={ + aboveskip=1pt, + belowskip=1pt, + basicstyle=\footnotesize\ttfamily, + language=Python, + keywordstyle=\color{mykey}, + showstringspaces=false, + stringstyle=\color{mygreen} + }, +} +\newtcblisting{pyprint}{ + sharp corners, + enlarge left by=\inwd, + width=\linewidth-\inwd, + enhanced, + boxrule=0pt, + colback=white, + listing only, + top=0pt, + bottom=0pt, + overlay={ + \node[ + anchor=north east, + text width=\inwd, + font=\footnotesize\ttfamily\color{mykey}, + inner ysep=2mm, + inner xsep=0pt, + outer sep=0pt + ] + at (frame.north west) + {}; + } + listing engine=listing, + listing options={ + aboveskip=1pt, + belowskip=1pt, + basicstyle=\footnotesize\ttfamily, + language=Python, + keywordstyle=\color{mykey}, + showstringspaces=false, + stringstyle=\color{mygreen} + }, +} +\newtcblisting{pyout}[1][\theipythcntr]{ + sharp corners, + enlarge left by=\inwd, + width=\linewidth-\inwd, + enhanced, + boxrule=0pt, + colback=white, + listing only, + top=0pt, + bottom=0pt, + overlay={ + \node[ + anchor=north east, + text width=\inwd, + font=\footnotesize\ttfamily\color{mykey}, + inner ysep=2mm, + inner xsep=0pt, + outer sep=0pt + ] + at (frame.north west) + {\setcounter{ipythcntr}{\value{ipythcntr}}Out#1:}; + } + listing engine=listing, + listing options={ + aboveskip=1pt, + belowskip=1pt, + basicstyle=\footnotesize\ttfamily, + language=Python, + keywordstyle=\color{mykey}, + showstringspaces=false, + stringstyle=\color{mygreen} + }, +} + +%---------------------------------------------------------- +%---------------------------------------------------------- + +\begin{document} + +{\usebackgroundtemplate{\includegraphics[%height=\paperheight, + width=\paperwidth]{figure/etoile}} + \begin{frame}[plain] + \titlepage + \end{frame} +} + + + +%\section*{Executive Summary} + +\begin{frame}{Executive Summary} + \fontsize{8}{8}\selectfont + \begin{block}{Context} + Reliability Stress-Strength computations and Validation Plans are done with various methods \& tools within the group that are not always shared and not always up to date. + \end{block} + + \begin{block}{Key points} + \begin{itemize} + \item Python module with easy-to-use notebook interface + \item Full sphinx documentation + \item Features + \begin{itemize} + \item (Non-)parametric distribution fitting using factories or kernel smoothing + \item Taking into account extreme values for distribution tail fitting + \item Stress projection + \item Graphs for engineering judgment + \end{itemize} + \end{itemize} + \end{block} + + % \begin{block}{Timeline} + % \begin{itemize} + % \item Reliability Stress-Strength computation tool with Python/OpenTURNS + % \item 2022 : Proof Of Concept achieved by INSA Rouen Intern + % \item 2023 : [Ex] StaRe : Renault Group specific python module with Phimeca + % \item 2024 : User interface integrated to platform ? + % \end{itemize} + % \end{block} +\end{frame} + +%----------------------------------------- +\begin{frame}{Table of Contents} + \tableofcontents %[hideallsubsections] +\end{frame} + +%----------------------------- + +\section{Reliability pipeline and StaRe} +\begin{frame}{Reliability pipeline} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Godesc)[basebis, below of=Go, yshift=-0.5cm]{Inference on observation mileage per year Usage per km}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(Iddesc)[basebis, below of=Id, yshift=-0.5cm]{Usage projection @ reliability horizons (km, years)}; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(MVPdesc)[basebis, below of=MVP, yshift=-0.5cm]{Strength computing according to specifications}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \node(Indusdesc)[basebis, below of=Indus, yshift=-0.5cm]{\# of parts @ \# of cycles without failure}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} +\end{frame} + +\section{Customer data modelling} +\begin{frame}{StaRe : Customer Usage observation} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis,fill=color1!30]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \begin{columns}[t] + \fontsize{8}{8}\selectfont + \begin{column}{0.35\textwidth} + \begin{itemize} + \item Usage-Mileage scatter plot + \end{itemize} + \begin{figure} + \includegraphics[height=0.44\textheight]{Illustration_StaRe/usageMileage.png} + \end{figure} + \end{column} + + \begin{column}{0.25\textwidth} + \begin{itemize} + \item Usage-Mileage scatter plot in rank space + \end{itemize} + \begin{figure} + \includegraphics[height=0.44\textheight]{Illustration_StaRe/usageMileageRank.png} + \end{figure} + \end{column} + + \begin{column}{0.35\textwidth} + \begin{itemize} + \item Usage Mean Excess Plot for GDP threshold confirmation + \end{itemize} + \begin{figure} + \includegraphics[height=0.44\textheight]{Illustration_StaRe/MRL.png} + \end{figure} + \end{column} + \end{columns} + \end{center} +\end{frame} + +\begin{frame}{StaRe : Customer Usage observation} + \begin{block}{Details} + \begin{itemize} + \item Raw data from csv imported as openturns.Sample/pandas.DataFrame + \item Plotly visualization for enhanced interactivity + \item As the module was developed with OTv1.21, Mean Excess Plot has been re-implemented + \end{itemize} + \end{block} + \begin{figure} + \centering + \includegraphics[height=0.44\textheight]{Illustration_StaRe/exceedances.png} + \caption{from Thomas Opitz, atelier statistique de la SFdS.} + \end{figure} +\end{frame} + +\begin{frame}{StaRe : Customer Usage modelling} + \begin{columns}[t] + \fontsize{8}{8}\selectfont + + \begin{column}{0.5\textwidth} + \begin{itemize} + \item List of fitted distributions ordered by AIC or BIC or K score. + \item Visual validation plots of the chosen distribution\\ + (here, Gumbel with GPD tail fit) + \end{itemize} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/fit_results_table.png} + \end{figure} + \end{column} + + \begin{column}{0.5\textwidth} + \begin{figure} + \includegraphics[width=0.8\textwidth]{Illustration_StaRe/fit_results.png} + \end{figure} + \end{column} + \end{columns} + +\end{frame} + +\begin{frame}{StaRe : Mileage-Usage dependency fitting} + \begin{columns}[t] + \fontsize{8}{8}\selectfont + + \begin{column}{0.5\textwidth} + \begin{itemize} + \item Copula inference using all available copulae factories + \end{itemize} + \begin{figure} + \includegraphics[width=0.5\textwidth]{Illustration_StaRe/fit_copula.png} + \end{figure} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/fit_copula_table.png} + \end{figure} + \end{column} + + \begin{column}{0.5\textwidth} + \begin{itemize} + \item JointDistribution built using marginal and copula inference results + \end{itemize} + \begin{figure} + \includegraphics[width=0.8\textwidth]{Illustration_StaRe/joint_dist.png} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{StaRe : Customer Usage modelling} + \begin{block}{Details} + \begin{itemize} + \item Marginal inference handles truncated fit support\\ + Fit is performed using MaximumLikelihoodFactory, taking into account truncation parameters + \item JointCentralAndGPD inherits from openturns.PythonDistribution\\ + computeCDF(), computePDF(), computeQuantile() and getRealization() have been re-implemented to ensure PDF continuity and to improve performance + \end{itemize} + \end{block} + + \begin{columns}[t] + \begin{column}{0.4\textwidth} + \begin{figure} + \includegraphics[width=0.45\textwidth]{Illustration_StaRe/PDF.png} + \includegraphics[width=0.45\textwidth]{Illustration_StaRe/CDF.png} + \end{figure} + \end{column} + \begin{column}{0.6\textwidth} + \small + \[ + CDF(X) = \left\{ + \begin{array}{ + l@{} + r@{}% no padding + } + CDF_{central}(X) &, \text{if }X \leq X_t \\ + 1 - cCDF_{GPD}(X - X_t) \cdot cCDF_{central}(X_t) &, \text{if } X \geq X_t \\ + \end{array} + \right. + \] + \[ + PDF(X) = \left\{ + \begin{array}{ + l@{} + r@{}% no padding + } + PDF_{central}(X) &, \text{if } X \leq X_t \\ + PDF_{GPD}(X - X_t) \cdot \frac{PDF_{central}(X_t)}{PDF_{GPD}(0)} &, \text{if } X \geq X_t\\ + \end{array} + \right. + \] + + \end{column} + \end{columns} +\end{frame} + +\section{Stress prediction} +\begin{frame}{Stress prediction : 2 algorithms} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,fill=color1!30,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns}[t] + \fontsize{8}{8}\selectfont + + \begin{column}{0.4\textwidth} + \begin{itemize} + \item Historical algorithm + \item Simulated car by simulated car + \item Month by month + \end{itemize} + \end{column} + + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.8\textwidth]{Illustration_StaRe/algo_proj.png} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Stress prediction : 2 algorithms} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,fill=color1!30,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + + \begin{itemize} + \item New algorithm, vector of simulated cars, car life event by car life event \\$\rightarrow$ Allows 200 times faster prediction + \end{itemize} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/algo_proj2.png} + \end{figure} +\end{frame} + +\begin{frame}{Stress fitting} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,fill=color1!30,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{itemize} + \item Stress prediction distribution is fitted using the same methods applied previously to raw data + \end{itemize} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/fitted_c.png} + \end{figure} +\end{frame} + +\section{Strength specification} +\begin{frame}{Strength specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,fill=color1!30,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns} + \begin{column}{0.4\textwidth} + \begin{itemize} + \item With hypothesis on shape parameter, strength scale parameter is optimized to match \\ proba (Stress > Strength) max + \item Strength is modelised by LogNormal or WeibullMin distribution + \item Stress 99$^{th}$ percentile $\sim 8.4 \cdot 10^4$ in this case + \end{itemize} + \end{column} + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.80\textwidth]{Illustration_StaRe/CR11.0.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Strength specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,fill=color1!30,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns} + \begin{column}{0.4\textwidth} + \begin{itemize} + \item With hypothesis on shape parameter, strength scale parameter is optimized to match \\ proba (Stress > Strength) max + \item Strength is modelised by LogNormal or WeibullMin distribution + \item Stress 99$^{th}$ percentile $\sim 8.4 \cdot 10^4$ in this case + \end{itemize} + \end{column} + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.80\textwidth]{Illustration_StaRe/CR11.2.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Strength specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,fill=color1!30,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns} + \begin{column}{0.4\textwidth} + \begin{itemize} + \item With hypothesis on shape parameter, strength scale parameter is optimized to match \\ proba (Stress > Strength) max + \item Strength is modelised by LogNormal or WeibullMin distribution + \item Stress 99$^{th}$ percentile $\sim 8.4 \cdot 10^4$ in this case + \end{itemize} + \end{column} + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.80\textwidth]{Illustration_StaRe/CR11.4.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Strength specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,fill=color1!30,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns} + \begin{column}{0.4\textwidth} + \begin{itemize} + \item With hypothesis on shape parameter, strength scale parameter is optimized to match \\ proba (Stress > Strength) max + \item Strength is modelised by LogNormal or WeibullMin distribution + \item Stress 99$^{th}$ percentile $\sim 8.4 \cdot 10^4$ in this case + \end{itemize} + \end{column} + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.80\textwidth]{Illustration_StaRe/CR11.6.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Strength specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,fill=color1!30,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns} + \begin{column}{0.4\textwidth} + \begin{itemize} + \item With hypothesis on shape parameter, strength scale parameter is optimized to match \\ proba (Stress > Strength) max + \item Strength is modelised by LogNormal or WeibullMin distribution + \item Stress 99$^{th}$ percentile $\sim 8.4 \cdot 10^4$ in this case + \end{itemize} + \end{column} + \begin{column}{0.6\textwidth} + \begin{figure} + \includegraphics[width=0.80\textwidth]{Illustration_StaRe/CR11.8.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\section{Validation plan specification} +\begin{frame}{Validation plan specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,fill=color1!30,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + \begin{columns}[t] + \fontsize{8}{8}\selectfont + + \begin{column}{0.6\textwidth} + \begin{itemize} + \item Validation plan proposal : \\ + Number of parts @ number of cycles without failure + \item Strength is tested by statistical hypothesis with confidence level:\\ + Hypothesis on proportion of failures is tested (unilateral) on small sample without failure \\ + $\rightarrow$ binomial distribution with number of success (ie failure) equal to 0 + \end{itemize} + \end{column} + \begin{column}{0.4\textwidth} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/validation_plan.png} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Validation plan specification} + \begin{center} + \resizebox{.8\textwidth}{!}{ + \begin{tikzpicture}[node distance=1.5cm, + every node/.style={fill=white, font=\sffamily}, align=center] + % Specification of nodes (position, etc.) + \node(Go)[basebis]{Customer Usage Modeling}; + \node(Id)[basebis,right of=Go,xshift=2.cm]{ + Stress \\ + Prediction + }; + \node(MVP)[basebis,right of=Id,xshift=2.cm]{Strength \\ Specification}; + \node(Indus)[basebis,fill=color1!30,right of=MVP,xshift=2.cm]{Validation Plans Specification}; + \draw[->](Go) -- (Id); + \draw[->](Id) -- (MVP); + \draw[->](MVP) -- (Indus); + \end{tikzpicture}} + \end{center} + + \begin{columns}[t] + \fontsize{8}{8}\selectfont + + \begin{column}{0.6\textwidth} + \begin{itemize} + \item Reciprocal procedure available : \\ + From a number of parts, each with number of cycles with (and/or without) failure + \item Strength distribution scale parameter is determined leading to failure probability estimation + \end{itemize} + \end{column} + \begin{column}{0.4\textwidth} + \begin{figure} + \includegraphics[width=\textwidth]{Illustration_StaRe/door-slamming-robot-blog-image.jpg} + \end{figure} + \end{column} + \end{columns} +\end{frame} + + +\section*{Conclusion \& outlook} +\begin{frame}{Conclusion \& outlook} + + \begin{block}{Deployment: sharing good practices and methodology} + \small + \begin{center} + \begin{tabular}{|c|c|c|c|c|c|} + \hline + Reliability&Python &Tool&Status&Trained&Interested\\ + & User & & & & \\ + \hline\hline + Specialist & Yes & Stare module & Delivered&7&5\\ + & & Notebook & & & \\ + \hline + Specialist&No&No code&Decided&0&10\\ + & &GUI& & & \\\hline + Intermediate&No&Simple GUI&To be decided \& framed& & \\ + \hline + \end{tabular} + \end{center} + \end{block} + + \begin{block}{Conclusion} + \begin{itemize} + \item StaRe module allows better distribution fitting leading to improved validation plans + \item Dedicated notebook interface allows versatile reliability tools usage for (non-)coding experts + \item Opening discussion for including in OT + \begin{itemize} + \item fit automatisation, taking into account support + \item stare.JointCentralAndGPD implementation + \end{itemize} + \end{itemize} + \end{block} + +\end{frame} + +\section*{Thank you!} +%\begin{frame} +%\includegraphics[width=\textwidth]{figure/grpe_rno_black.png} +%\end{frame} + +\end{document}
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