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    fuente : brainly.lat

    PROBLEMAS ESTRUCTURADOS by July Castellanos

    Despues del analisis de cada una de las representaciones evidencio que respecto al analisis que se haga al problema depende de la eleccion de como solucionarlo ya que con cada metodo se puede llegar a una solucion siguiendo los pasos correctos. La desventaja serie el elegir el

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    PROBLEMAS ESTRUCTURADOS

    1,574 Learn about Prezi JC

    July Castellanos

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    Despues del analisis de cada una de las representaciones evidencio que respecto al analisis que se haga al problema depende de la eleccion de como solucionarlo ya que con cada metodo se puede llegar a una solucion siguiendo los pasos correctos. La desventaja serie el elegir el metodo incorrecto para la solucion

    Esta estrategia se utiliza cuando un problema requiere traducir las relaciones que se expresan en cada parte del enunciado en símbolos que las representen, de tal forma que se construyan expresiones matemáticas que deben ser resueltas según los principios de esas ecuaciones que se formulan.

    Lo importante de una forma de representación es que esté correctamente seleccionada y se utilice en el momento justo de la estrategia que se siga para resolver un problema

    una persona camina por la calle Carabobo , paralela a la calle pichincha ; continúa caminando por la calle chacabuco que es perpendicular a la pichincha. ¿ Está la persona caminando por una calle paralela o perpendicular a la calle Carabobo?

    ¿De qué trata el problema?

    De una persona que esta caminando por las calles

    ¿Cuál es la pregunta?

    ¿Está la persona caminando por una calle paralela o perpendicular a la calle Carabobo?

    ¿Cuántas y cuales variables tenemos en el problema?

    Nombre de la calle , dirección de las calles.

    Representación en dos dimensiones

    REPRESENTACIÓN LINEAL

    Para resolver problemas que plantean situaciones dinámicas se necesita para que las personas visualicen enunciados generales abstractos que describen secuencias de eventos y de las relaciones cambiantes entre estas.

    El logro de este nivel de abstracción conlleva a la representación mental o interna del problema.

    La experiencia demuestra que muchas personas tienen dificultades para lograr la representación mental o interna de los problemas. Dicha representación requiere que la persona abstraiga las características de los eventos o situaciones, las transforme en imágenes y las relacione de manera apropiada

    En general siguiendo una serie de pasos logicos se puede llegar a una solucion siempre y cuando se tome la mejor representacion del caso, cada problema contiene informacion explicita e implicita y segun la capacidad de analisis se puede extraer lo mas importante y asi llegar a la mejor solucion

    EJEMPLO

    Tres jóvenes Carlos, Mario, y John tienen en total 30 discos de videojuegos los cuales 15 son de futbol los demás de carros y tenis. Carlos tiene 3 discos de futbol y 3 de carros, Mario que tiene 8 discos de videojuegos tiene 4 discos de carros. Él número de discos de tenis de Carlos es igual al de juegos de futbol que tiene Mario. John tiene tantos discos de carros como de futbol. La cantidad de discos de futbol que posee Mario es la misma que de videojuegos de Carlos. ¿Cuántos discos de videojuegos tiene Mario?

    fuente : prezi.com

    Modelos Deterministas: Optimización Lineal

    Apuntes del profesor Hossein Arsham, de la University of Baltimore, sobre Optimización: Programación Lineal (PL); Problema Dual: Construcción y Significado; Manejo de Incertidumbres mediante Modelación de Escenarios; y Programas lineales generales con enteros. Un modelo de Optimización Matemática consiste en una función objetivo y un conjunto de restricciones en la forma de un sistema de ecuaciones o inecuaciones. Los modelos de optimización son usados en casi todas las áreas de toma de decisiones, como en ingeniería de diseño y selección de carteras financieras de inversión . Esta pagina web presenta ejemplos focalizados y estructurados para la formulación de problemas de optimización, diseño de la estrategia optima y herramientas de control de calidad que incluyen validación, verificación y análisis post-solución.

    Modelos Deterministas:

    Optimización Lineal

    Sitio Espejo para América Latin

    Esta es la versión en Español del sitio Web principal en Inglés, el cual se encuentra disponible en:

    Linear ProgrammingUSA Site

    Un modelo de Optimización Matemática consiste en una función objetivo y un conjunto de restricciones en la forma de un sistema de ecuaciones o inecuaciones. Los modelos de optimización son usados en casi todas las áreas de toma de decisiones, como en ingeniería de diseño y selección de carteras financieras de inversión . Esta pagina web presenta ejemplos focalizados y estructurados para la formulación de problemas de optimización, diseño de la estrategia optima y herramientas de control de calidad que incluyen validación, verificación y análisis post-solución.

    Profesor Hossein Arsham

       MENU

    Introducción y resumen

    Optimización: Programación Lineal (PL)

    Problema Dual: Construcción y Significado

    Manejo de Incertidumbres mediante Modelación de Escenarios

    El Método Simplex Clásico

    Programas Lineales Generales con Enteros

    Herramientas para el Proceso de Validación de Modelos

    Para buscar el sitio, proba en Edicion | Encotrar en la página [Ctrl + f]. Escribi una palabra o frase en el espacio del diálogo. Por ejemplo "optimización" o "sensibilidad" Si el primer resultado de la palabra o la frase no es lo que vos buscabas, intenta con Encuentra Próximo.

    Optimización: Programación Lineal (PL)

    Introducción y resumen

    Optimización

    Programación Lineal (PL)

    Proceso de Formulación de un Problema de PL y su Aplicación

    El Problema del Carpintero

    Un Problema de Mezcla

    Otras Aplicaciones Comunes de PL

    Método de Solución Gráfica

    Vínculo entre Programación Lineal y Sistemas de Ecuaciones

    Extensión a Mayores Dimensiones

    Ejemplo Numérico: el Problema del Transporte

    Conceptos y Técnicas de Aprendizaje Asistidos por Computadora

    Cómo Interpretar los Resultados del Paquete de Software LINDO

    Implementaciones de Computación con el Paquete WinQSB

    ¿Cómo Resolver un Sistema de Ecuaciones Lineales Utilizando un Software de PL?

    Problema Dual

    Problema Dual: Construcción y Significado

    El Problema Dual del Problema del Carpintero y su Interpretación

    Errores de Redondeo cometido por los Gerentes

    Cálculo de los Precios Sombra

    Comportamiento de los Cambios en los Valores RHS del Valor Optimo

    Interpretación Incorrecta del Precio Sombra

    ¿El Precio Sombra es Siempre No Negativo?

    Precios Sombra Alternativos

    Manejo de Incertidumbres mediante Modelación de Escenarios:

    Análisis de Sensibilidad y Análisis de Especificidad

    Introducción

    Cálculo de Rangos de Sensibilidad para Problemas Pequeños

    Qué es la Regla del 100% (región de sensibilidad)

    Añadir una nueva restricción

    Suprimir una restricción

    Reemplazar una restricción

    Añadir una variable (por ejemplo, introducir un nuevo producto)

    Suprimir una variable (es decir, cancelar un producto)

    Problema de asignación óptima de recursos

    Determinación de la mínima utilidad neta del producto

    Indicadores de metas

    Cálculo de minimax y maximin en una sola corrida

    Situaciones de más por menos y menos por más

    El Método Simplex Clásico

    Introducción Método Algebraico

    Pivoteando Operaciones en Filas

    El Método Simplex

    Programas Lineales Generales con Enteros

    Introducción

    Aplicación mixta de programación con enteros: restricciones "Y-O"

    Programas lineales con enteros 0 - 1

    Aplicaciones para formulación de presupuestos de inversiones

    Problemas de scheduling (planificación de turnos)

    Programación con restricciones no binarias

    Optimización combinatoria

    Programación no lineal

    Herramientas para el Proceso de Validación de Modelos

    Introducción Ilimitación

    Soluciones Optimas Múltiples (soluciones óptimas Innumerables)

    No Solución (PL no-factible)

    Degeneración

    Redundancia entre las Restricciones

    PL sin Vértices

    PL con Soluciones Ilimitadas, y Soluciones Optimas Múltiples

    Sobre las Variables de Decisión Básicas y No-Básicas

    PL sin Ninguna Solución Interna

    PL sin Ninguna Solución Interna, y Limitada

    PL con Puntos Interiores como Soluciones Optimas

    La Solución Optima Generada por un Paquete de PL no es Obtenidas por Otro

    ¿La Tabla Optima del Simplex Proporciona una Solución Dual?

    La Conversión a la Forma Estándar Podría Distorsionar la Región de Factibilidad

    Remover las Restricciones de Igualdad Mediante la Sustitución Podría Cambiar el Problema

    Interpretación Errónea del Precio Sombra

    ¿Es el Precio Sombra Siempre no-Negativo?

    Precios Sombra Alternativos

    Situaciones Mas- por- Menos y Menos- por -Mas

    Introducción y Resumen

    Los problemas de toma de decisiones se pueden clasificar en dos categorías: modelos de decisión determinísticos y modelos de decisión probabilísticos. En los modelos deterministicos, las buenas decisiones se basan en sus buenos resultados. Se consigue lo deseado de manera "deterministica", es decir, libre de riesgo. Esto depende de la influencia que puedan tener los factores no controlables, en la determinación de los resultados de una decisión y también en la cantidad de información que el tomador de decisión tiene para controlar dichos factores.

    fuente : home.ubalt.edu

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