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Gráfica de número de no conformes (np)

Gráfica de número de no conformes (np) Se utiliza para graficar las unidades disconformes Tamaño de muestra es constante Principales objetivos Conocer las causas que contribuyen al proceso. Obtener el registro histórico de una o varias características de una operación con el proceso productivo.

Gráfica de número de no conformes (np)

Publicada porSantiago Godoy Piñeiro

Modificado hace 7 años

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Control Estadístico de Proceso Gráficos de Control

UNIVERSIDAD "ALONSO DE OJEDA"

Profesor: Ing. Franklin Castellano Esp. en Protección y Seguridad Industrial.

Contenido Control estadístico de procesos (CEP) Capacidad del proceso

Presentación del tema: "Gráfica de número de no conformes (np)"— Transcripción de la presentación:

1 Gráfica de número de no conformes (np)

Integrantes: Ángel Mogrovejo. Amanda Ortega. Esteban León. Cristian Yunga.

2 Gráfica de número de no conformes (np)

Se utiliza para graficar las unidades disconformes Tamaño de muestra es constante Principales objetivos Conocer las causas que contribuyen al proceso. Obtener el registro histórico de una o varias características de una operación con el proceso productivo.

3 Las fórmulas son:

4 Si se desconoce la fracción p0 de no conformes, se deberá determinar reuniendo datos, calculando los límites de control tentativos y obteniendo la mejor estimación de p0. Las fórmulas de los límites de control tentativos se obtienen sustituyendo a p– por p0 en las fórmulas.

5 CONSTRUCCION DE GRAFICAS DE CONTROL NP

Se toman k muestras de tamaño n. El número de muestras k debe ser elevado (más de 20). también el tamaño muestral N debe ser grande (mayor de 50) Contar el numero de unidades defectuosas, llamadas también no conformes (np) en cada muestra ( 𝒅 𝒊 ) Contar el numero total de defectuosos 𝒅 𝟏 + 𝒅 𝟐 … 𝒅 𝒌 Número medio de defectuosos por muestra 𝑫 𝒊 = N° artículos defectuosos en la muestra n = elementos de la muestra Promedio de las fracciones defectuosas en las muestras ( 𝒑 ) N = N° muestras

6 CONSTRUCCION DE GRAFICAS DE CONTROL NP

4) Desviación estándar (s) 5) Limites de control Limite central = n * 𝒑 LSC = n * 𝒑 + 3 * 𝒏∗ 𝒑 ∗(𝟏− 𝒑 ) LIC = n * 𝒑 − 3 * 𝒏∗ 𝒑 ∗(𝟏− 𝒑 ) 6) Se dibuja el gráfico trazando la línea central n * 𝒑 y los límites de control. s = 𝑛∗ 𝑝 ∗(1− 𝑝 ) Un punto graficado abajo del limite inferior de control Se debe a una calidad excepcionalmente buena

7 CONSTRUCCION DE GRAFICAS DE CONTROL NP

7) Definir las escalas del grafico Eje horizontal = numero de la muestra en el orden que ha sido tomada Eje vertical = numero de unidades defectuosas/ no conformes (np)

8 Representar en el gráfico la Línea Central y los Límites de Control

Línea Central (n∗ 𝒑 ) Línea de Control Superior (LCSnp) Límite de Control Inferior (LCInp) Usualmente la línea del valor central (n∗ 𝒑 ) se dibuja de color azul, y las líneas correspondientes a los limites de control de color rojo Cuando LCI es cero, no se suele representar en el grafico

9 LCInp < npi < LCSnp

Comprobación de los datos de construcción del Gráfico de Control "np" Se comprobará que todos los valores del número unidades no conformes de las muestras utilizadas para la construcción del gráfico correspondiente están dentro de sus Límites de Control. LCInp < npi < LCSnp Si esta condición no se cumple para alguna muestra, esta deberá ser desechada para el cálculo de los Límites de Control. Se repetirán todos los cálculos realizados hasta el momento, sin tener en cuenta los valores de las muestras anteriormente señaladas. Este proceso se repetirá hasta que todas las muestras utilizadas para el cálculo de los Límites de Control muestren un proceso dentro de control.

10 Para que el gráfico pueda mostrar pautas analizables, el tamaño de muestra, será lo suficientemente grande (entre 50 y 200 unidades e incluso superior) para tener varias unidades no conformes por muestra de forma que puedan evidenciarse cambios significativamente favorable Varia la línea central y los limites de control dando como resultado una grafica sin sentido

11 El tamaño del subgrupo debe ser constante

La frecuencia de muestreo será la adecuada para detectar rápidamente los cambios y permitir una realimentación eficaz El tamaño del subgrupo debe ser constante El periodo de recogida de muestras debe ser lo suficientemente largo como para recoger todas las posibles causas internas de variación del proceso

12 EJEMPLOS: Una agencia gubernamental muestrea 200 documentos por día de un lote de 6000 diarios. De acuerdo con los registros históricos, el valor estándar o de referencia para la fracción de no conformes, p0, es

16 "np" = Nº de unidades no conformes

27 Capacidad del proceso: Capacidad del proceso para atributos:

Éste se refiere a alguna combinación única de máquinas, herramientas, métodos, materiales y personas involucradas en la producción. Capacidad : Esta palabra se usa en el sentido de aptitud, basada en el desempeño probado, para lograr resultados que se puedan medir. Capacidad del proceso: Es la aptitud del proceso para producir productos dentro de los límites de especificaciones de calidad. Capacidad del proceso para atributos: La capacidad del proceso es la linea central de la grafica de control

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Control estadístico de procesos y servicios

View Control estadístico de procesos y servicios - ex sem 04.pdf from PROCESOS DE MANUFAC at Universidad TecMilenio. Control estadístico de procesos y servicios 1. Mis cursos 2. Control estadístico

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Control estadístico de procesos y servicios1.Mis cursos2.Control estadístico de procesos y servicios3.Modalidad de exámenes |Semana 4Tiempo empleado1 hora 17 minsPuntos5.0/5.0Calificación10.0de un total de 10.0 (100%)Comentario deretroalimentación¡¡ Excelente, sigue así !!Pregunta 1Es el elemento de la gráfica de corrida que indica la proporción promedio de no conformes, mismoque se obtiene con la fórmula:Seleccione una:Límite inferior de controlEje horizontalLínea centralLímite superior de controlSu respuesta es correcta.Pregunta 2Siempre debe preferirse las gráficaspcuyo tamaño de subgrupo es:Seleccione una:

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Santiago 2 month ago

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Gráfica de número de no conformes (np)

Gráfica de número de no conformes (np)

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