andon/docs/house-of-quality.md

House of Quality

A TikZ rendering of the QFD matrices in DESIGN.md §§1–2, 4–5, 7: Goals as WHATs (left + importance), the 10 Functions as HOWs (columns), the §4 relation matrix in the body, the §5 conflicts in the roof, and the basement carrying each function's target, difficulty, and computed weight.

The DESIGN.md tables remain authoritative; this is the picture for a review or slide. The basement Rel. wt % row is the punchline — it collapses the relation matrix into where the engineering weight sits, confirming the build order: F1 (16%) dominates, then the F2/F3 filing pair (13% each) and F4/F5 weak-point pair (12% each), with F6 (4%) / F10 (5%) deliberately light.

% =====================================================================
% QFD "House of Quality" preamble
% =====================================================================
\usetikzlibrary{arrows.meta, positioning, shapes.geometric, shapes.misc, calc, fit, backgrounds}

\newif\ifqfdshowroof          \qfdshowrooftrue
\newif\ifqfdshowbasement      \qfdshowbasementtrue
\newif\ifqfdshowcompetitive   \qfdshowcompetitivetrue
\newif\ifqfdshowlegend        \qfdshowlegendtrue
\newif\ifqfdshowimportance    \qfdshowimportancetrue
\newif\ifqfdshowcorrlegend    \qfdshowcorrlegendtrue
\newif\ifqfdshowevallegend    \qfdshowevallegendtrue

\def\qfdNW{5}
\def\qfdNH{5}
\def\qfdWhatW{4.0}
\def\qfdImpW{0.9}
\def\qfdCmpW{3}
\def\qfdHdrH{2.6}
\def\qfdBasementN{4}

\def\qfdWhatsTitle{Customer needs}
\def\qfdImpTitle{Imp.\ \%}
\def\qfdPerceptionTitle{Comparative evaluation}
\def\qfdPoorLabel{poor}
\def\qfdExcellentLabel{excellent}
\def\qfdAltOneLabel{Our product}
\def\qfdAltTwoLabel{Competitor A}
\def\qfdAltThreeLabel{Competitor B}
\def\qfdRelTitle{Relation}
\def\qfdCorrTitle{Correlation}
\def\qfdEvalTitle{Evaluation}

\tikzset{
  qfdthin/.style ={line width=0.35pt},
  qfdmed/.style  ={line width=0.7pt},
  qfdstrong/.style={circle, draw, fill=black,
                    minimum size=7pt, inner sep=0pt},
  qfdmod/.style  ={circle, draw,
                    minimum size=7pt, inner sep=0pt, line width=0.8pt},
  qfdweak/.style ={regular polygon, regular polygon sides=3, draw,
                    minimum size=8.5pt, inner sep=0pt, line width=0.7pt},
  qfdrel/.is choice,
  qfdrel/S/.style={qfdstrong},
  qfdrel/M/.style={qfdmod},
  qfdrel/W/.style={qfdweak},
  qfdalt1mk/.style={circle, draw, fill=black,
                    minimum size=6pt, inner sep=0pt, line width=1pt},
  qfdalt1ln/.style={line width=1.2pt},
  qfdalt2mk/.style={regular polygon, regular polygon sides=3, draw,
                    fill=black, minimum size=6pt, inner sep=0pt,
                    line width=0.7pt},
  qfdalt2ln/.style={line width=0.7pt, dashed},
  qfdalt3mk/.style={rectangle, draw, fill=black,
                    minimum size=5pt, inner sep=0pt, line width=0.7pt},
  qfdalt3ln/.style={line width=0.7pt, dotted},
}

\newcommand{\qfdDrawGrid}{%
  \foreach \c in {1,...,\qfdNHm} \draw[qfdthin] (\c, 0) -- (\c, -\qfdNW);
  \foreach \r in {1,...,\qfdNWm} \draw[qfdthin] (0, -\r) -- (\qfdNH, -\r);
  \foreach \r in {1,...,\qfdNWm}
    \draw[qfdthin] (\qfdLeftEdge, -\r) -- (0, -\r);
  \ifqfdshowroof
    \foreach \c in {1,...,\qfdNHm}
      \draw[qfdthin] (\c, 0) -- (\c, \qfdHdrH);
  \fi
  \ifqfdshowcompetitive
    \foreach \r in {1,...,\qfdNWm}
      \draw[qfdthin] (\qfdNH, -\r) -- (\qfdNH+\qfdCmpW, -\r);
  \fi
  \ifqfdshowbasement
    \foreach \r in {1,...,\qfdBasementN}
      \draw[qfdthin] (0, -\qfdNW-\r) -- (\qfdNH, -\qfdNW-\r);
    \foreach \c in {1,...,\qfdNHm}
      \draw[qfdthin] (\c, -\qfdNW) -- (\c, -\qfdNW-\qfdBasementN);
  \fi
}

\newcommand{\qfdDrawRoof}{%
  \ifqfdshowroof
    \foreach \k in {1,...,\qfdNHm} {%
      \pgfmathsetmacro{\rx}{(\k+\qfdNH)/2}
      \pgfmathsetmacro{\ry}{\qfdHdrH + (\qfdNH-\k)/2}
      \pgfmathsetmacro{\lx}{\k/2}
      \pgfmathsetmacro{\ly}{\qfdHdrH + \k/2}
      \draw[qfdthin] (\k, \qfdHdrH) -- (\rx, \ry);
      \draw[qfdthin] (\k, \qfdHdrH) -- (\lx, \ly);
    }%
    \draw[qfdmed] (0, \qfdHdrH)
       -- (\qfdNH/2, \qfdApexY) -- (\qfdNH, \qfdHdrH);
    \foreach \i in {1,...,\qfdNH}
      \foreach \k in {1,...,\qfdNH} {%
        \pgfmathtruncatemacro{\jj}{\i+\k}
        \ifnum\jj>\qfdNH\relax\else
          \pgfmathsetmacro{\xx}{\i + \k/2 - 0.5}
          \pgfmathsetmacro{\yy}{\qfdHdrH + \k/2}
          \coordinate (C-\i-\jj) at (\xx, \yy);
        \fi
      }%
  \fi
}

\newcommand{\qfdDrawScale}{%
  \ifqfdshowcompetitive
    \foreach \tk in {0,1,2,3,4,5} {%
      \pgfmathsetmacro{\tx}{\qfdNH + (\tk+0.5)*\qfdCmpW/6}
      \node[anchor=south, font=\scriptsize] at (\tx, 0.02) {\tk};
    }%
    \node[anchor=south, font=\scriptsize\bfseries, align=center]
         at ({\qfdNH + \qfdCmpW/2}, 0.7) {\qfdPerceptionTitle};
    \node[anchor=north, font=\scriptsize\itshape]
         at ({\qfdNH + 0.45}, -\qfdNW) {\qfdPoorLabel};
    \node[anchor=north, font=\scriptsize\itshape]
         at ({\qfdNH + \qfdCmpW - 0.45}, -\qfdNW) {\qfdExcellentLabel};
  \fi
}

\newcommand{\qfdDrawZoneTitles}{%
  \ifqfdshowimportance
    \node[rotate=90, anchor=west, font=\footnotesize\bfseries]
         at ({-\qfdImpW/2}, 0.12) {\qfdImpTitle};
  \fi
  \node[font=\scriptsize\bfseries, align=center, text width=\qfdWhatW cm]
       at ({\qfdLeftEdge + \qfdWhatW/2},
           {\ifqfdshowroof \qfdHdrH/2 \else 0.6 \fi}) {\qfdWhatsTitle};
}

\newcommand{\qfdDrawFrames}{%
  \begin{scope}[qfdmed]
    \draw (\qfdLeftEdge, 0) rectangle (\qfdNH, -\qfdNW);
    \ifqfdshowimportance \draw (-\qfdImpW, 0) -- (-\qfdImpW, -\qfdNW); \fi
    \draw (0, 0) -- (0, -\qfdNW);
    \ifqfdshowroof
      \draw (0, 0) rectangle (\qfdNH, \qfdHdrH); \fi
    \ifqfdshowbasement
      \draw (0, -\qfdNW) rectangle (\qfdNH, -\qfdNW-\qfdBasementN); \fi
    \ifqfdshowcompetitive
      \draw (\qfdNH, 0) rectangle (\qfdNH+\qfdCmpW, -\qfdNW); \fi
  \end{scope}
}

\newcommand{\qfdDrawLegend}{%
  \ifqfdshowlegend
    \pgfmathsetmacro{\qfdLegX}{%
      \qfdNH + \ifqfdshowcompetitive \qfdCmpW + 0.7 \else 0.7 \fi}
    \pgfmathsetmacro{\qfdLegBottom}{%
      -2.05
      \ifqfdshowroof    \ifqfdshowcorrlegend - 2.55 \fi \fi
      \ifqfdshowcompetitive \ifqfdshowevallegend - 2.20 \fi \fi}
    \pgfmathsetmacro{\qfdLegY}{\qfdHdrH - 0.4}
    \begin{scope}[shift={(\qfdLegX, \qfdLegY)}]
      \draw[qfdmed, rounded corners=2pt]
        (-0.15, 0.4) rectangle (4.5, \qfdLegBottom);
      \node[anchor=west, font=\footnotesize\bfseries] at (0, 0.1)
        {\qfdRelTitle};
      \draw[qfdthin] (0, -0.15) -- (4.35, -0.15);
      \node[qfdstrong] at (0.22, -0.5)  {};
        \node[anchor=west] at (0.5, -0.5)  {Strong (9)};
      \node[qfdmod]    at (0.22, -0.95) {};
        \node[anchor=west] at (0.5, -0.95) {Medium (3)};
      \node[qfdweak]   at (0.22, -1.4)  {};
        \node[anchor=west] at (0.5, -1.4)  {Weak (1)};
      \ifqfdshowroof \ifqfdshowcorrlegend
        \node[anchor=west, font=\footnotesize\bfseries] at (0, -2.10)
          {\qfdCorrTitle};
        \draw[qfdthin] (0, -2.35) -- (4.35, -2.35);
        \node[anchor=west] at (0, -2.70) {{$+\!+$}\quad very positive};
        \node[anchor=west] at (0, -3.05) {{$+$\phantom{$+$}}\quad positive};
        \node[anchor=west] at (0, -3.40) {{$-$\phantom{$-$}}\quad negative};
        \node[anchor=west] at (0, -3.75) {{$-\!-$}\quad very negative};
      \fi \fi
      \ifqfdshowcompetitive \ifqfdshowevallegend
        \pgfmathsetmacro{\qfdEvalTop}{%
          -2.10 \ifqfdshowroof\ifqfdshowcorrlegend - 2.55 \fi\fi}
        \node[anchor=west, font=\footnotesize\bfseries]
          at (0, \qfdEvalTop) {\qfdEvalTitle};
        \pgfmathsetmacro{\qfdEvalSep}{\qfdEvalTop - 0.25}
        \draw[qfdthin] (0, \qfdEvalSep) -- (4.35, \qfdEvalSep);
        \pgfmathsetmacro{\qfdLegA}{\qfdEvalTop - 0.55}
        \draw[qfdalt1ln] (0.05, \qfdLegA) -- (0.45, \qfdLegA);
          \node[qfdalt1mk] at (0.25, \qfdLegA) {};
          \node[anchor=west, font=\bfseries] at (0.55, \qfdLegA)
            {\qfdAltOneLabel};
        \pgfmathsetmacro{\qfdLegB}{\qfdEvalTop - 0.95}
        \draw[qfdalt2ln] (0.05, \qfdLegB) -- (0.45, \qfdLegB);
          \node[qfdalt2mk] at (0.25, \qfdLegB) {};
          \node[anchor=west] at (0.55, \qfdLegB) {\qfdAltTwoLabel};
        \pgfmathsetmacro{\qfdLegC}{\qfdEvalTop - 1.35}
        \draw[qfdalt3ln] (0.05, \qfdLegC) -- (0.45, \qfdLegC);
          \node[qfdalt3mk] at (0.25, \qfdLegC) {};
          \node[anchor=west] at (0.55, \qfdLegC) {\qfdAltThreeLabel};
      \fi \fi
    \end{scope}
  \fi
}

\newenvironment{qfdhouse}{%
  \begin{tikzpicture}[x=1cm, y=1cm, font=\scriptsize,
                      line cap=round, line join=round]
  \ifqfdshowimportance
    \pgfmathsetmacro{\qfdLeftEdge}{-\qfdWhatW-\qfdImpW}
  \else
    \pgfmathsetmacro{\qfdLeftEdge}{-\qfdWhatW}
  \fi
  \pgfmathsetmacro{\qfdApexY}{\qfdHdrH + \qfdNH/2}
  \pgfmathtruncatemacro{\qfdNHm}{\qfdNH - 1}
  \pgfmathtruncatemacro{\qfdNWm}{\qfdNW - 1}
  \qfdDrawGrid
  \qfdDrawRoof
  \qfdDrawScale
  \qfdDrawZoneTitles
}{%
  \qfdDrawFrames
  \qfdDrawLegend
  \end{tikzpicture}%
}

% =====================================================================
% Andon — House of Quality
% =====================================================================
\def\qfdNW{4}            % 4 Goals
\def\qfdNH{10}           % 10 Functions
\def\qfdWhatW{4.6}
\def\qfdWhatsTitle{Goals (WHATs)}
\qfdshowcompetitivefalse % no competitor benchmark

\begin{document}
\begin{qfdhouse}

  % ---- WHATs (Goals) + Importance % ----
  \pgfmathsetmacro{\qfdWhatTextW}{\qfdWhatW - 0.2}
  \foreach \r/\t in {%
      1/{G1 Flag a board problem in seconds},
      2/{G2 Weak points visible at a glance},
      3/{G3 Owner notified promptly on phone},
      4/{G4 Theodo-only \& attributable}}
    \node[anchor=west, font=\scriptsize,
          text width=\qfdWhatTextW cm, align=left]
      at ({\qfdLeftEdge + 0.1}, {-\r + 0.5}) {\t};

  \foreach \r/\imp in {1/31, 2/28, 3/22, 4/19}
    \node[font=\scriptsize] at ({-\qfdImpW/2}, {-\r + 0.5}) {\imp};

  % ---- HOWs (Functions, rotated) ----
  \foreach \c/\t in {%
      1/{F1 Board from 1 def},
      2/{F2 Time-to-file},
      3/{F3 Project suggest},
      4/{F4 Dot map},
      5/{F5 Verbatim modal},
      6/{F6 Dashboard speed},
      7/{F7 Push latency},
      8/{F8 Subscriptions},
      9/{F9 SSO gate},
      10/{F10 Durability}}
    \node[rotate=90, anchor=west, font=\scriptsize]
      at ({\c - 0.5}, 0.15) {\t};

  % ---- Relations (Goal x Function) ----
  \node[qfdrel/M] at ({1 - 0.5}, {-1 + 0.5}) {}; % F1-G1
  \node[qfdrel/S] at ({1 - 0.5}, {-2 + 0.5}) {}; % F1-G2
  \node[qfdrel/S] at ({2 - 0.5}, {-1 + 0.5}) {}; % F2-G1
  \node[qfdrel/S] at ({3 - 0.5}, {-1 + 0.5}) {}; % F3-G1
  \node[qfdrel/S] at ({4 - 0.5}, {-2 + 0.5}) {}; % F4-G2
  \node[qfdrel/S] at ({5 - 0.5}, {-2 + 0.5}) {}; % F5-G2
  \node[qfdrel/M] at ({6 - 0.5}, {-2 + 0.5}) {}; % F6-G2
  \node[qfdrel/S] at ({7 - 0.5}, {-3 + 0.5}) {}; % F7-G3
  \node[qfdrel/S] at ({8 - 0.5}, {-3 + 0.5}) {}; % F8-G3
  \node[qfdrel/S] at ({9 - 0.5}, {-4 + 0.5}) {}; % F9-G4
  \node[qfdrel/M] at ({10 - 0.5}, {-2 + 0.5}) {}; % F10-G2
  \node[qfdrel/W] at ({10 - 0.5}, {-4 + 0.5}) {}; % F10-G4

  % ---- Roof correlations (Function x Function) ----
  \node[font=\scriptsize] at (C-1-2) {$+$};      % F1 reinforces F2
  \node[font=\scriptsize] at (C-1-4) {$+\!+$};   % F1 strongly reinforces F4
  \node[font=\scriptsize] at (C-2-7) {$-$};      % fast filing vs push
  \node[font=\scriptsize] at (C-2-9) {$-$};      % fast filing vs auth gate
  \node[font=\scriptsize] at (C-4-6) {$-$};      % rich dot map vs dashboard speed

  % ---- Basement: target / difficulty(1-5) / abs weight / rel weight % ----
  \foreach \c/\tgt/\diff/\abs/\rel in {%
      1/{1 source}/3/345/16,
      2/{$\leq$15s}/2/279/13,
      3/{0 retype}/2/279/13,
      4/{cap $\sim$10}/3/252/12,
      5/{modal}/2/252/12,
      6/{$\leq$1s}/2/84/4,
      7/{$\leq$10s}/3/198/9,
      8/{multi-dev}/3/198/9,
      9/{100\%}/3/171/8,
      10/{0 loss}/2/103/5} {
    \node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 0.5}) {\tgt};
    \node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 1.5}) {\diff};
    \node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 2.5}) {\abs};
    \node[font=\scriptsize\bfseries] at ({\c - 0.5}, {-\qfdNW - 3.5}) {\rel};
  }

  % ---- Basement row labels (to the left of the basement) ----
  \foreach \k/\lbl in {0/{Target}, 1/{Difficulty}, 2/{Abs.\ wt}, 3/{Rel.\ wt \%}}
    \node[anchor=east, font=\scriptsize\itshape]
      at ({\qfdLeftEdge + \qfdWhatW}, {-\qfdNW - 0.5 - \k}) {\lbl};

\end{qfdhouse}
\end{document}