Six Sigma ein statistisches Qualitätsziel

Six Sigma Konzept
Ein Qualitätsmerkmal unterliegt unerwünschter [url=https://de.m.wikipedia.org/wiki/Streuung_(Statistik)]Streuung[/url] in den Prozessergebnissen, der Durchschnitts- oder [url=https://de.m.wikipedia.org/wiki/Mittelwert]Erwartungswert[/url] stimmt aus produktionstechnischen Gründen nicht exakt mit dem Zielwert überein. Im Rahmen einer [url=https://de.m.wikipedia.org/wiki/Prozessf%C3%A4higkeitsuntersuchung]Prozessfähigkeitsuntersuchung[/url] werden die Toleranzen festgelegt, die in der Praxis akzeptabel sind - wie groß z.B. die Abweichungen im Durchmesser von Schrauben sein dürfen um die Funktion sicher zustellen. Meist wird die Normalverteilung herangezogen.[br][br]Ein Beispiel zur Fertigung einer Schraube M10, die mit einer Standardabweichung von σ=0.016 mm hergestellt werden kann. Gewindemaße für M10 6g DIN: Außen-Ø 9,732 bis 9,968; Flanken-Ø 8,862 bis 8,994; Kern-Ø 7,935 bis 8,128 [mm]. Fertigung mit einem Mittelwert μ=8:[br][br][img]data:image/png;base64,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[/img][br][br]Der Normalverteilung entnehme ich die statistische Aussage :[br]In einem Toleranzbereich [br][size=150]μ±3σ {7.952-8.048}[/size] werden [size=150]P[sub]3σ[/sub] = 99.73%[/size] {[i]1-2 Normal(μ, σ , μ-3σ) || [/i][i]1-2 Normal(0, 1, -3)[/i]} [br]aller Schrauben und in einem Toleranzbereich [br][size=150]μ±6σ {7.904-8.096}[/size] werden [size=150]P[sub]6σ[/sub] = 99.999%[/size] {[i]1-2 Normal(μ, σ , μ-6σ) [/i][i]|| [/i][i]1-2 Normal(0, 1, -6)[/i]} [br]aller Schrauben gefertigt. [br][br]Technische Unter- und Obergrenze[br][br]Bei μ=8 und σ=0.016 kann man TO=8.128 einhalten aber TU=7.938 nicht![br]Wenn ich nun den nächstgelegenen Grenzwert z.B. TO als 6-Sigma-Grenze wähle, muß ich den Mittelwert μ einstellen auf [br][size=150]μ[sub]TO[/sub]=8.128 - 6 σ = 8.032[/size], [br]dann sind die maßhaltigen Toleranzgrenzen zwischen TO und TU. [br][br]Realer Ausschussanteil[br][br]Um einen der Realität entsprechenden Ausschussanteil zu ermittlen hat es sich im Konzept von [i]Six Sigma[/i] bewährt, eine langfristige Mittelwertverschiebung um 1.5 Standardabweichungen einzukalkulieren. Die Streuung der Produktion um den Mittelwert μ±1.5σ abzuziehen und die Ausschußrate für μ-4.5σ anzugeben. [br]Als Ausschussgrenzwert wird die Seite herangezogen auf der die Mittelwertverschiebung wandert.[br][[size=85]!meine persönliche Interpretation - weil die beobachtete [size=85]Verteilung[/size] nur nach einer Seite auswandern kann, wird auch nur der einseitige Fehleranteil angegeben[/size]][br] [br]Normal(0, 1 , -4.5) = 0.00000339767312596 {*1 000 000} ~ 3.4 pro 10[sup]6[/sup] Schrauben.[br]3,4 DPMO ([url=https://de.m.wikipedia.org/wiki/Fehler_pro_Million_M%C3%B6glichkeiten]Fehler pro Million Möglichkeiten[/url], englisch [i]defects per million opportunities[/i]). [br]Langzeitmessungen in [i]Six Sigma Konzepten[/i] bestätigen diese Annahme. [br][br][br][url=https://de.m.wikipedia.org/wiki/Six_Sigma]Six-Sigma[/url][math]\nearrow[/math][br][size=85]System, um Produkt- und Servicequalität eines Unternehmens zu verbessern[br][/size][br][url=https://www.geogebra.org/m/uxMATCeF]Abfüllstatistik[math]\nwarrow[/math][/url][br][br]Auswertung für einem nach links (left shift) auswanderndem Mittelwert.
Normalverteilung6Sigma

Information: Six Sigma ein statistisches Qualitätsziel