docs: add House of Quality diagram
TikZ rendering of the DESIGN.md QFD matrices (goals, functions, relations, roof, basement weights) for review and slides.
This commit is contained in:
Julien Calixte
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docs/house-of-quality.md
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docs/house-of-quality.md
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# House of Quality
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A TikZ rendering of the QFD matrices in [`DESIGN.md`](../DESIGN.md) §§1–2, 4–5, 7:
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Goals as WHATs (left + importance), the 10 Functions as HOWs (columns), the §4
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relation matrix in the body, the §5 conflicts in the roof, and the basement
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carrying each function's target, difficulty, and computed weight.
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The `DESIGN.md` tables remain authoritative; this is the picture for a review or
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slide. The basement `Rel. wt %` row is the punchline — it collapses the relation
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matrix into where the engineering weight sits, confirming the build order:
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**F1 (16%)** dominates, then the **F2/F3 filing pair (13% each)** and **F4/F5
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weak-point pair (12% each)**, with **F6 (4%) / F10 (5%)** deliberately light.
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```tikz
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% =====================================================================
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% QFD "House of Quality" preamble
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% =====================================================================
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\usetikzlibrary{arrows.meta, positioning, shapes.geometric, shapes.misc, calc, fit, backgrounds}
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\newif\ifqfdshowroof \qfdshowrooftrue
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\newif\ifqfdshowbasement \qfdshowbasementtrue
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\newif\ifqfdshowcompetitive \qfdshowcompetitivetrue
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\newif\ifqfdshowlegend \qfdshowlegendtrue
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\newif\ifqfdshowimportance \qfdshowimportancetrue
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\newif\ifqfdshowcorrlegend \qfdshowcorrlegendtrue
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\newif\ifqfdshowevallegend \qfdshowevallegendtrue
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\def\qfdNW{5}
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\def\qfdNH{5}
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\def\qfdWhatW{4.0}
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\def\qfdImpW{0.9}
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\def\qfdCmpW{3}
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\def\qfdHdrH{2.6}
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\def\qfdBasementN{4}
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\def\qfdWhatsTitle{Customer needs}
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\def\qfdImpTitle{Imp.\ \%}
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\def\qfdPerceptionTitle{Comparative evaluation}
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\def\qfdPoorLabel{poor}
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\def\qfdExcellentLabel{excellent}
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\def\qfdAltOneLabel{Our product}
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\def\qfdAltTwoLabel{Competitor A}
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\def\qfdAltThreeLabel{Competitor B}
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\def\qfdRelTitle{Relation}
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\def\qfdCorrTitle{Correlation}
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\def\qfdEvalTitle{Evaluation}
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\tikzset{
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qfdthin/.style ={line width=0.35pt},
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qfdmed/.style ={line width=0.7pt},
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qfdstrong/.style={circle, draw, fill=black,
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minimum size=7pt, inner sep=0pt},
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qfdmod/.style ={circle, draw,
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minimum size=7pt, inner sep=0pt, line width=0.8pt},
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qfdweak/.style ={regular polygon, regular polygon sides=3, draw,
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minimum size=8.5pt, inner sep=0pt, line width=0.7pt},
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qfdrel/.is choice,
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qfdrel/S/.style={qfdstrong},
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qfdrel/M/.style={qfdmod},
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qfdrel/W/.style={qfdweak},
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qfdalt1mk/.style={circle, draw, fill=black,
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minimum size=6pt, inner sep=0pt, line width=1pt},
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qfdalt1ln/.style={line width=1.2pt},
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qfdalt2mk/.style={regular polygon, regular polygon sides=3, draw,
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fill=black, minimum size=6pt, inner sep=0pt,
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line width=0.7pt},
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qfdalt2ln/.style={line width=0.7pt, dashed},
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qfdalt3mk/.style={rectangle, draw, fill=black,
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minimum size=5pt, inner sep=0pt, line width=0.7pt},
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qfdalt3ln/.style={line width=0.7pt, dotted},
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}
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\newcommand{\qfdDrawGrid}{%
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\foreach \c in {1,...,\qfdNHm} \draw[qfdthin] (\c, 0) -- (\c, -\qfdNW);
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\foreach \r in {1,...,\qfdNWm} \draw[qfdthin] (0, -\r) -- (\qfdNH, -\r);
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\foreach \r in {1,...,\qfdNWm}
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\draw[qfdthin] (\qfdLeftEdge, -\r) -- (0, -\r);
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\ifqfdshowroof
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\foreach \c in {1,...,\qfdNHm}
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\draw[qfdthin] (\c, 0) -- (\c, \qfdHdrH);
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\fi
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\ifqfdshowcompetitive
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\foreach \r in {1,...,\qfdNWm}
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\draw[qfdthin] (\qfdNH, -\r) -- (\qfdNH+\qfdCmpW, -\r);
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\fi
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\ifqfdshowbasement
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\foreach \r in {1,...,\qfdBasementN}
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\draw[qfdthin] (0, -\qfdNW-\r) -- (\qfdNH, -\qfdNW-\r);
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\foreach \c in {1,...,\qfdNHm}
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\draw[qfdthin] (\c, -\qfdNW) -- (\c, -\qfdNW-\qfdBasementN);
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\fi
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}
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\newcommand{\qfdDrawRoof}{%
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\ifqfdshowroof
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\foreach \k in {1,...,\qfdNHm} {%
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\pgfmathsetmacro{\rx}{(\k+\qfdNH)/2}
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\pgfmathsetmacro{\ry}{\qfdHdrH + (\qfdNH-\k)/2}
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\pgfmathsetmacro{\lx}{\k/2}
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\pgfmathsetmacro{\ly}{\qfdHdrH + \k/2}
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\draw[qfdthin] (\k, \qfdHdrH) -- (\rx, \ry);
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\draw[qfdthin] (\k, \qfdHdrH) -- (\lx, \ly);
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}%
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\draw[qfdmed] (0, \qfdHdrH)
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-- (\qfdNH/2, \qfdApexY) -- (\qfdNH, \qfdHdrH);
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\foreach \i in {1,...,\qfdNH}
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\foreach \k in {1,...,\qfdNH} {%
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\pgfmathtruncatemacro{\jj}{\i+\k}
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\ifnum\jj>\qfdNH\relax\else
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\pgfmathsetmacro{\xx}{\i + \k/2 - 0.5}
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\pgfmathsetmacro{\yy}{\qfdHdrH + \k/2}
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\coordinate (C-\i-\jj) at (\xx, \yy);
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\fi
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}%
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\fi
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}
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\newcommand{\qfdDrawScale}{%
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\ifqfdshowcompetitive
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\foreach \tk in {0,1,2,3,4,5} {%
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\pgfmathsetmacro{\tx}{\qfdNH + (\tk+0.5)*\qfdCmpW/6}
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\node[anchor=south, font=\scriptsize] at (\tx, 0.02) {\tk};
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}%
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\node[anchor=south, font=\scriptsize\bfseries, align=center]
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at ({\qfdNH + \qfdCmpW/2}, 0.7) {\qfdPerceptionTitle};
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\node[anchor=north, font=\scriptsize\itshape]
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at ({\qfdNH + 0.45}, -\qfdNW) {\qfdPoorLabel};
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\node[anchor=north, font=\scriptsize\itshape]
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at ({\qfdNH + \qfdCmpW - 0.45}, -\qfdNW) {\qfdExcellentLabel};
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\fi
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}
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\newcommand{\qfdDrawZoneTitles}{%
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\ifqfdshowimportance
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\node[rotate=90, anchor=west, font=\footnotesize\bfseries]
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at ({-\qfdImpW/2}, 0.12) {\qfdImpTitle};
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\fi
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\node[font=\scriptsize\bfseries, align=center, text width=\qfdWhatW cm]
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at ({\qfdLeftEdge + \qfdWhatW/2},
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{\ifqfdshowroof \qfdHdrH/2 \else 0.6 \fi}) {\qfdWhatsTitle};
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}
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\newcommand{\qfdDrawFrames}{%
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\begin{scope}[qfdmed]
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\draw (\qfdLeftEdge, 0) rectangle (\qfdNH, -\qfdNW);
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\ifqfdshowimportance \draw (-\qfdImpW, 0) -- (-\qfdImpW, -\qfdNW); \fi
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\draw (0, 0) -- (0, -\qfdNW);
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\ifqfdshowroof
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\draw (0, 0) rectangle (\qfdNH, \qfdHdrH); \fi
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\ifqfdshowbasement
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\draw (0, -\qfdNW) rectangle (\qfdNH, -\qfdNW-\qfdBasementN); \fi
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\ifqfdshowcompetitive
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\draw (\qfdNH, 0) rectangle (\qfdNH+\qfdCmpW, -\qfdNW); \fi
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\end{scope}
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}
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\newcommand{\qfdDrawLegend}{%
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\ifqfdshowlegend
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\pgfmathsetmacro{\qfdLegX}{%
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\qfdNH + \ifqfdshowcompetitive \qfdCmpW + 0.7 \else 0.7 \fi}
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\pgfmathsetmacro{\qfdLegBottom}{%
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-2.05
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\ifqfdshowroof \ifqfdshowcorrlegend - 2.55 \fi \fi
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\ifqfdshowcompetitive \ifqfdshowevallegend - 2.20 \fi \fi}
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\pgfmathsetmacro{\qfdLegY}{\qfdHdrH - 0.4}
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\begin{scope}[shift={(\qfdLegX, \qfdLegY)}]
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\draw[qfdmed, rounded corners=2pt]
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(-0.15, 0.4) rectangle (4.5, \qfdLegBottom);
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\node[anchor=west, font=\footnotesize\bfseries] at (0, 0.1)
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{\qfdRelTitle};
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\draw[qfdthin] (0, -0.15) -- (4.35, -0.15);
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\node[qfdstrong] at (0.22, -0.5) {};
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\node[anchor=west] at (0.5, -0.5) {Strong (9)};
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\node[qfdmod] at (0.22, -0.95) {};
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\node[anchor=west] at (0.5, -0.95) {Medium (3)};
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\node[qfdweak] at (0.22, -1.4) {};
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\node[anchor=west] at (0.5, -1.4) {Weak (1)};
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\ifqfdshowroof \ifqfdshowcorrlegend
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\node[anchor=west, font=\footnotesize\bfseries] at (0, -2.10)
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{\qfdCorrTitle};
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\draw[qfdthin] (0, -2.35) -- (4.35, -2.35);
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\node[anchor=west] at (0, -2.70) {{$+\!+$}\quad very positive};
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\node[anchor=west] at (0, -3.05) {{$+$\phantom{$+$}}\quad positive};
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\node[anchor=west] at (0, -3.40) {{$-$\phantom{$-$}}\quad negative};
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\node[anchor=west] at (0, -3.75) {{$-\!-$}\quad very negative};
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\fi \fi
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\ifqfdshowcompetitive \ifqfdshowevallegend
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\pgfmathsetmacro{\qfdEvalTop}{%
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-2.10 \ifqfdshowroof\ifqfdshowcorrlegend - 2.55 \fi\fi}
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\node[anchor=west, font=\footnotesize\bfseries]
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at (0, \qfdEvalTop) {\qfdEvalTitle};
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\pgfmathsetmacro{\qfdEvalSep}{\qfdEvalTop - 0.25}
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\draw[qfdthin] (0, \qfdEvalSep) -- (4.35, \qfdEvalSep);
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\pgfmathsetmacro{\qfdLegA}{\qfdEvalTop - 0.55}
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\draw[qfdalt1ln] (0.05, \qfdLegA) -- (0.45, \qfdLegA);
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\node[qfdalt1mk] at (0.25, \qfdLegA) {};
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\node[anchor=west, font=\bfseries] at (0.55, \qfdLegA)
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{\qfdAltOneLabel};
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\pgfmathsetmacro{\qfdLegB}{\qfdEvalTop - 0.95}
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\draw[qfdalt2ln] (0.05, \qfdLegB) -- (0.45, \qfdLegB);
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\node[qfdalt2mk] at (0.25, \qfdLegB) {};
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\node[anchor=west] at (0.55, \qfdLegB) {\qfdAltTwoLabel};
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\pgfmathsetmacro{\qfdLegC}{\qfdEvalTop - 1.35}
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\draw[qfdalt3ln] (0.05, \qfdLegC) -- (0.45, \qfdLegC);
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\node[qfdalt3mk] at (0.25, \qfdLegC) {};
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\node[anchor=west] at (0.55, \qfdLegC) {\qfdAltThreeLabel};
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\fi \fi
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\end{scope}
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\fi
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}
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\newenvironment{qfdhouse}{%
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\begin{tikzpicture}[x=1cm, y=1cm, font=\scriptsize,
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line cap=round, line join=round]
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\ifqfdshowimportance
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\pgfmathsetmacro{\qfdLeftEdge}{-\qfdWhatW-\qfdImpW}
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\else
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\pgfmathsetmacro{\qfdLeftEdge}{-\qfdWhatW}
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\fi
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\pgfmathsetmacro{\qfdApexY}{\qfdHdrH + \qfdNH/2}
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\pgfmathtruncatemacro{\qfdNHm}{\qfdNH - 1}
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\pgfmathtruncatemacro{\qfdNWm}{\qfdNW - 1}
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\qfdDrawGrid
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\qfdDrawRoof
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\qfdDrawScale
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\qfdDrawZoneTitles
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}{%
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\qfdDrawFrames
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\qfdDrawLegend
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\end{tikzpicture}%
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}
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% =====================================================================
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% Andon — House of Quality
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% =====================================================================
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\def\qfdNW{4} % 4 Goals
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\def\qfdNH{10} % 10 Functions
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\def\qfdWhatW{4.6}
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\def\qfdWhatsTitle{Goals (WHATs)}
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\qfdshowcompetitivefalse % no competitor benchmark
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\begin{document}
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\begin{qfdhouse}
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% ---- WHATs (Goals) + Importance % ----
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\pgfmathsetmacro{\qfdWhatTextW}{\qfdWhatW - 0.2}
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\foreach \r/\t in {%
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1/{G1 Flag a board problem in seconds},
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2/{G2 Weak points visible at a glance},
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3/{G3 Owner notified promptly on phone},
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4/{G4 Theodo-only \& attributable}}
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\node[anchor=west, font=\scriptsize,
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text width=\qfdWhatTextW cm, align=left]
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at ({\qfdLeftEdge + 0.1}, {-\r + 0.5}) {\t};
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\foreach \r/\imp in {1/31, 2/28, 3/22, 4/19}
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\node[font=\scriptsize] at ({-\qfdImpW/2}, {-\r + 0.5}) {\imp};
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% ---- HOWs (Functions, rotated) ----
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\foreach \c/\t in {%
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1/{F1 Board from 1 def},
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2/{F2 Time-to-file},
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3/{F3 Project suggest},
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4/{F4 Dot map},
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5/{F5 Verbatim modal},
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6/{F6 Dashboard speed},
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7/{F7 Push latency},
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8/{F8 Subscriptions},
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9/{F9 SSO gate},
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10/{F10 Durability}}
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\node[rotate=90, anchor=west, font=\scriptsize]
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at ({\c - 0.5}, 0.15) {\t};
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% ---- Relations (Goal x Function) ----
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\node[qfdrel/M] at ({1 - 0.5}, {-1 + 0.5}) {}; % F1-G1
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\node[qfdrel/S] at ({1 - 0.5}, {-2 + 0.5}) {}; % F1-G2
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\node[qfdrel/S] at ({2 - 0.5}, {-1 + 0.5}) {}; % F2-G1
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\node[qfdrel/S] at ({3 - 0.5}, {-1 + 0.5}) {}; % F3-G1
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\node[qfdrel/S] at ({4 - 0.5}, {-2 + 0.5}) {}; % F4-G2
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\node[qfdrel/S] at ({5 - 0.5}, {-2 + 0.5}) {}; % F5-G2
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\node[qfdrel/M] at ({6 - 0.5}, {-2 + 0.5}) {}; % F6-G2
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\node[qfdrel/S] at ({7 - 0.5}, {-3 + 0.5}) {}; % F7-G3
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\node[qfdrel/S] at ({8 - 0.5}, {-3 + 0.5}) {}; % F8-G3
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\node[qfdrel/S] at ({9 - 0.5}, {-4 + 0.5}) {}; % F9-G4
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\node[qfdrel/M] at ({10 - 0.5}, {-2 + 0.5}) {}; % F10-G2
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\node[qfdrel/W] at ({10 - 0.5}, {-4 + 0.5}) {}; % F10-G4
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% ---- Roof correlations (Function x Function) ----
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\node[font=\scriptsize] at (C-1-2) {$+$}; % F1 reinforces F2
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\node[font=\scriptsize] at (C-1-4) {$+\!+$}; % F1 strongly reinforces F4
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\node[font=\scriptsize] at (C-2-7) {$-$}; % fast filing vs push
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\node[font=\scriptsize] at (C-2-9) {$-$}; % fast filing vs auth gate
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\node[font=\scriptsize] at (C-4-6) {$-$}; % rich dot map vs dashboard speed
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% ---- Basement: target / difficulty(1-5) / abs weight / rel weight % ----
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\foreach \c/\tgt/\diff/\abs/\rel in {%
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1/{1 source}/3/345/16,
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2/{$\leq$15s}/2/279/13,
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3/{0 retype}/2/279/13,
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4/{cap $\sim$10}/3/252/12,
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5/{modal}/2/252/12,
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6/{$\leq$1s}/2/84/4,
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7/{$\leq$10s}/3/198/9,
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8/{multi-dev}/3/198/9,
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9/{100\%}/3/171/8,
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10/{0 loss}/2/103/5} {
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\node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 0.5}) {\tgt};
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\node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 1.5}) {\diff};
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\node[font=\scriptsize] at ({\c - 0.5}, {-\qfdNW - 2.5}) {\abs};
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\node[font=\scriptsize\bfseries] at ({\c - 0.5}, {-\qfdNW - 3.5}) {\rel};
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}
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% ---- Basement row labels (to the left of the basement) ----
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\foreach \k/\lbl in {0/{Target}, 1/{Difficulty}, 2/{Abs.\ wt}, 3/{Rel.\ wt \%}}
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\node[anchor=east, font=\scriptsize\itshape]
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at ({\qfdLeftEdge + \qfdWhatW}, {-\qfdNW - 0.5 - \k}) {\lbl};
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\end{qfdhouse}
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\end{document}
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```
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