Microsoft Word - ENUNCIADO PROYECTO.docxPRIMERA ENTREGA DEL PROYECTO COLABORATIVOMODELO DETERMINISTICOEl modelo determinantico es una clase de modelo matemtico cuya funcin principal es el hacer predicciones de manera correcta, exacta y definida de las cantidades, ya sea dentro de la distribucin de probabilidades, como de alternativas; a esta clase de modelos matemticos se les conoce con el nombre de modelos matemticos aplicados a los problemas en los que solo existe un estado de la naturaleza, adems de que las variables, limitaciones y alternativas se encuentran dispuestas a aceptar las suposiciones, los datos conocidos, los datos definibles, los datos finitos y los predecibles. Segn muchos estudiosos matemticos se sabe que estos modelos, vienen a ser una especie de herramientas o tcnicas determinsticas como por ejemplo la programacin lineal, el anlisis de Markov, estudios de costo/beneficio, etc. Siendo as que un modelo matemtico determinstico es utilizado en el caso de que se presente un problema que tenga una condicin de certeza supuesta, si esto sucede entonces el modelo acepta el hallazgo de un slo resultado posible para cada accin. Adems es importante recalcar que el modelo matemtico determinstico es un modelo en el cual las entradas son capaces de producir de manera invariable las mismas salidas, sin contemplar la existencia del azar ni el principio de incertidumbre. Adems este modelo se encuentra relacionado con el origen de entornos simulados por medio de simuladores para poder estudiar las situaciones hipotticas, as tambin como para crear sistemas de gestin que disminuyan la incertidumbre. Una de las caractersticas del modelo matemtico determinstico es la inclusin de la complejidad en las relaciones con mayor presencia de variables y elementos distintos, siendo as que el modelo matemtico determinstico hace posible que ste se asemeje a un modelo probabilstico o un modelo estocstico. Para entender de mejor manera tenemos el siguiente ejemplo aplicable para desarrollar nuestro proyecto de aula: - La planificacin de una lnea de produccin, en cualquier proceso industrial, para ellos se realiza la implementacin de un sistema de gestin de procesos, el cual debe de incluir un modelo matemtico determinstico, con el cual se hace posible la cuantificacin de las materias primas, de la mano de obra, de los tiempos de produccin y finalmente de los productos finales. ESPACIO MUESTRALEl conjunto de todos los resultados posibles de un experimento estadstico denotado por S o VARIABLE. Se denomina variable a la entidad que puede tomar un valor cualesquiera durante la duracin de un proceso dado. Si la variable toma un solo valor durante el proceso se llama constante. VARIABLE ALEATORIA:Es una funcin que asocia un nmero real a cada el elemento del espacio muestra. Es decir son aquellas que pueden diferir de una respuesta a otra. Una variable aleatoria se puede clasificar en: Variable aleatoria discreta. Variable aleatoria contina. Variable aleatoria discreta.Una variable discreta proporciona datos que son llamados datos cuantitativos discretos y son respuestas numricas que resultan de un proceso de conteo. La cantidad de alumnos regulares en un grupo escolar. El nmero de caras en cinco lanzamientos de una moneda. Nmero de circuitos en una computadora. El nmero de vehculos vendidos en un da, en un lote de autos Variable aleatoria contina. Es aquella que se encuentra dentro de un intervalo comprendido entre dos valores cualesquiera; sta puede asumir infinito nmero de valores y stos se pueden medir.La estatura de un alumno de un grupo escolar. El peso en gramos de una moneda. La edad de un hijo de familia. Las dimensiones de un vehculoINFORME DE CAMPO - SOLUCIN DEL EJERCICIOEn el desarrollo de la materia *SIMULACIN GERENCIAL 2013-8 PB - 2013-8 (DIEGO FELIPE MONTALVO MORALES), se nos indico elaborar como trabajo colaborativo un modelo determinstico que demostrara el anlisis de las variables aleatorias y de las variables de resultado; en este orden de ideas tenemos:TAREAS REALIZADAS:Conformacin del grupo de trabajo colaborativoSeleccin de los datos del enunciado del proyectoPlanteamiento del ejercicioIntroduccin de variables al ejercicioIntroduccin de los datos de demanda segn el enunciadoRealizacin de la matriz con los interrogantes planteadossimulacin de las operaciones en los prximos 2000 dassimulacin indicadores correspondientes a un intervalo de 2000 dasDIFICULTADES:los videos de las teleconferencias no permitan ser reproducidoslos medios de comunicacin con los compaeros (internet cado)las formulas en Excelseleccin de variablesanlisis de datoscorrelacin de variables DESCRIPCIN DEL MODELO DE SIMULACIN En nuestro modelo de simulacin determinstico, existen varias variables aleatorias interactuando. Y estas variables, siguen distribuciones de probabilidad tericas distintas a la distribucin uniforme. Por esta razn, para simular este tipo de variables, fue necesario contar con un generador de nmeros uniformes y una funcin que a travs de un mtodo especfico, transforma estos nmeros en valores de distribucin normal.Existen varios procedimientos para lograr este objetivo, en este trabajo se adopt el siguiente procedimiento especial para generar nmeros al azar que sigan la distribucin de probabilidad: Operacin en el Excel, la funcin = ALEATORIO. ENTR (0; 100)Una vez se dispuso de los nmeros aleatorios, stos se llevaron sobre el eje de ordenadas, y se proyectaron horizontalmente sobre las correspondientes funciones de distribucin. De tal forma que el valor as calculado para cada variable ser el valor de la muestra simulada. A continuacin presentamos la utilizacin del mtodo simulado en la planilla de Microsoft Excel. Estos son los datos del Ejercicio:Paso seguido se comienza a construir el Modelo, en el cual para cada tipo de variable se calcula:El Acumulando de las probabilidades.El promedio y el riesgo.Se aplican las funciones: aleatorio y buscarSe aplica la funcin para determinar la cantidad.Se repite el proceso para cada variable restanteOperaciones en Excel con las siguientes funciones:(1) =SUMAPRODUCTO(3) =BUSCAR(ALEATORIO()(4) =ENTERO(((((ALEATORIO()Luego y en funcin de estos valores se procede a la seleccin y clculo de los interrogantes del enunciado del proyecto como son:DaValor QuesoRand. LechePorc. Demanda LecheValor LecheRand QuesoPorc. Demanda QuesoDemanda QuesoDemanda TrabajadoresValor Del JornalCt X QuesoQ LecheUna vez obtuvimos la estructura para el clculo de las variables y/o interrogantes del enunciado del proyecto, se realizo una macro (MATRIZ DE SIMULACIN); que va acumulando los registros de cada valor puntual que correspondan al Valor Actual, a medida que se activa la funcin aleatoria para cada simulacin. Adems se puede ir calculando los valores correspondientes del promedio y del desvo, a fin de poder estudiar el comportamiento del modelo de simulacin implantado por el grupo de trabajo.A continuacin se aplica la ecuacin traducida a trminos de las funciones de Excel: =+ALEATORIO.ENTRE(1;100), la cual nos proporciona un valor infinito o de Z, la cual cada vez que pulsamos la tecla F9 nos genera un clculo de distribucin estndar En la matriz de trabajo se han generado 2000 muestras y/o escenarios, por lo tanto Los datos simulados estn en condiciones de ser tratados. Y se puede aplicar a cada muestra el criterio de aceptacin que requiramos poner a prueba, obteniendo entonces 2000 resultados que nos darn el valor simulado actual sobre los datos estudiados y/o planteados por el enunciado del proyecto.Por otra parte en la matriz de trabajo, se muestra como hemos establecido con cierta incertidumbre el riesgo en las variables. Esto se evidencia Cada vez que se pulsa la tecla F9; toda vez que aparecer un valor ligeramente distinto mientas los miles de datos simulados se modifican en su individualidad manteniendo valores muy semejantes en sus parmetrosFinalmente La macro para realizar este proceso tiene las siguientes instrucciones:=+ALEATORIO.ENTRE(1;100)=+BUSCARV(H15;$Z$2:$AA$101;2;FALSO)=(REDONDEAR.MAS(O15;0))-O15=+$C$7+$C$7*I15+FC[-1]*F14C3RESULTADO DE LOS INTERROGANTES DEL ENUNCIADO:ANEXAMOS HOJA DE CALCULO CON EL ARCHIVO DE EXCEL DONDE SE MUESTRAN LOS CLCULOS Y FORMULAS.Hoja1TRABAJO SIMULACION GERENCIALDIGITOSDEMANDA SIMPOLIDIGITOSDEMANDA LECHE1-2%1-5%DEMANDA INICIAL QUESO100UNIDADES2-2%2-5%PRODUCCION DE QUESO9PERSONASDEMANDA DE SIMPOLIDEMANDA DE LECHE3-2%3-5%PERSONAL NECESARIO1DEMANDAPROBABILIDADPRO.ACU.DIGITOSDEMANDAPROBABILIDADPRO.ACU.DIGITOSAUMENT/DECREMENTNUEVO PRECIO4-2%4-5%VALOR JORNAL10,000PESOS-2%0.150.151-15-5%0.450.451-45-1001900.005-2%5-5%V. LTR LECHE2,000PESOS-1%0.250.416-395%0.55146-1001002100.006-2%6-5%LTRS LECHE X P. QUESO1.5LITROS1%0.450.8540-84Total1.007-2%7-5%V. LTR LECHE2,000PESOS3%0.15185-1008-2%8-5%PRECIO QUESO5,000PESOSTotal1.009-2%9-5%TASA AUM. PRECIO QUESO0.1%10-2%10-5%VENT. SOUR CREAM500PESOS11-2%11-5%LITROS X PRODUC QUESO3,000PESOSEMPRESA SIMPOLI12-2%12-5%CAP. PRO. X PEROSNA SOURCREAM3LITROSDIAVALOR QUESORAND. LECHEPORC. DEMANDA LECHEVALOR LECHERAND QUESOPORC. DEMANDA QUESODEMANDA QUESODEMAND TRABAJADORVALOR DEL JORNALCAPCIDAD TRB. SOBRANTEPROD. SOURCREAMCANT. LECHE PARA PRODUCCIONCOSTO LECHEINGRESO BRUTO QUESOINGRESO BRUTO SOURCREAM13-2%13-5%LITROS LECHE X PRODUC SOURCREAM1LITROS1500037-5%1,90038-1%9911.00110,0000.000.00149282,150495,000014-2%14-5%2500545-5%1,90015-2%9810.89110,0000.000.00147279,300490,490015-2%15-5%RESULTADOS CON BASE LOS 1000 ESCENARIOS3501013-5%1,90019-1%9911.00110,0000.000.00149282,150495,990016-1%16-5%Demanda Promedio100.2094501527-5%1,90027-1%9911.00110,0000.000.00149282,150496,486017-1%17-5%Costo de Mano de Obra Promedio115,95055020635%2,100902%10211.33120,0000.000.00153321,300512,043018-1%18-5%Costo de Materiales Promedio301,94765025505%2,10015-2%9810.89110,0000.000.00147308,700492,455019-1%19-5%Ingresos Promedio por Venta de queso860,2807503034-5%1,900972%10211.33120,0000.000.00153290,700513,068020-1%20-5%Ingresos Promedio por Venta de Sour085035745%2,1004-2%9810.89110,0000.000.00147308,700493,440021-1%21-5%Utilidad Promedio744,33095040575%2,100771%10111.22120,0000.000.00152318,150509,054022-1%22-5%10504536-5%1,90013-2%9810.89110,0000.000.00147279,300494,428023-1%23-5%11505029-5%1,900411%10111.22120,0000.000.00152287,850510,073024-1%24-5%12505528-5%1,900631%10111.22120,0000.000.00152287,850510,583025-1%25-5%13506038-5%1,900681%10111.22120,0000.000.00152287,850511,093026-1%26-5%145065695%2,10034-1%9911.00110,0000.000.00149311,850501,474027-1%27-5%155070765%2,100872%10211.33120,0000.000.00153321,300517,187028-1%28-5%16507619-5%1,900811%10111.22120,0000.000.00152287,850512,628029-1%29-5%175081865%2,100972%10211.33120,0000.000.00153321,300518,221030-1%30-5%18508618-5%1,900731%10111.22120,0000.000.00152287,850513,654031-1%31-5%195091625%2,100421%10111.22120,0000.000.00152318,150514,168032-1%32-5%2050961-5%1,900661%10111.22120,0000.000.00152287,850514,682033-1%33-5%21510110-5%1,90028-1%9911.00110,0000.000.00149282,150504,995034-1%34-5%225106775%2,1001-2%9810.89110,0000.000.00147308,700500,394035-1%35-5%2351116-5%1,900561%10111.22120,0000.000.00152287,850516,227036-1%36-5%2451165-5%1,900892%10211.33120,0000.000.00153290,700521,860037-1%37-5%255121725%2,10028-1%9911.00110,0000.000.00149311,850507,018038-1%38-5%265127695%2,100511%10111.22120,0000.000.00152318,150517,778039-1%39-5%275132535%2,10012-2%9810.89110,0000.000.00147308,700502,9010401%40-5%28513719-5%1,900872%10211.33120,0000.000.00153290,700523,9510411%41-5%295142945%2,100481%10111.22120,0000.000.00152318,150519,3330421%42-5%305147645%2,10032-1%9911.00110,0000.000.00149311,850509,5580431%43-5%31515239-5%1,9009-2%9810.89110,0000.000.00147279,300504,9150441%44-5%325157595%2,1004-2%9810.89110,0000.000.00147308,700505,4200451%45-5%33516333-5%1,90028-1%9911.00110,0000.000.00149282,150511,0880461%465%34516823-5%1,900952%10211.33120,0000.000.00153290,700527,1020471%475%3551732-5%1,9006-2%9810.89110,0000.000.00147279,300506,9380481%485%36517838-5%1,900852%10211.33120,0000.000.00153290,700528,1570491%495%37518340-5%1,9004-2%9810.89110,0000.000.00147279,300507,9520501%505%385188705%2,100992%10211.33120,0000.000.00153321,300529,2140511%515%39519436-5%1,90033-1%9911.00110,0000.000.00149282,150514,1620521%525%40519920-5%1,90022-1%9911.00110,0000.000.00149282,150514,6760531%535%415204905%2,100872%10211.33120,0000.000.00153321,300530,8030541%545%425209775%2,10039-1%9911.00110,0000.000.00149311,850515,7060551%555%43521427-5%1,9004-2%9810.89110,0000.000.00147279,300511,0080561%565%445220875%2,100841%10111.22120,0000.000.00152318,150527,1770571%575%455225865%2,100441%10111.22120,0000.000.00152318,150527,7040581%585%46523045-5%1,9009-2%9810.89110,0000.000.00147279,300512,5420591%595%4752352-5%1,900701%10111.22120,0000.000.00152287,850528,7600601%605%485240885%2,100952%10211.33120,0000.000.00153321,300534,5300611%615%495246565%2,10029-1%9911.00110,0000.000.00149311,850519,3270621%625%505251765%2,100771%10111.22120,0000.000.00152318,150530,3480631%635%51525612-5%1,90010-2%9810.89110,0000.000.00147279,300515,1100641%645%52526120-5%1,900651%10111.22120,0000.000.00152287,850531,4100651%655%53526730-5%1,900882%10211.33120,0000.000.00153290,700537,2080661%665%54527226-5%1,900551%10111.22120,0000.000.00152287,850532,4730671%675%5552779-5%1,9001-2%9810.89110,0000.000.00147279,300517,1740681%685%565283495%2,100892%10211.33120,0000.000.00153321,300538,8210691%695%5752886-5%1,900691%10111.22120,0000.000.00152287,850534,0720701%705%5852932-5%1,9009-2%9810.89110,0000.000.00147279,300518,7270711%715%595298475%2,100711%10111.22120,0000.000.00152318,150535,1410721%725%60530412-5%1,900831%10111.22120,0000.000.00152287,850535,6760731%735%61530910-5%1,9004-2%9810.89110,0000.000.00147279,300520,2840741%745%62531434-5%1,900852%10211.33120,0000.000.00153290,700542,0620751%755%63532036-5%1,900942%10211.33120,0000.000.00153290,700542,6040761%765%6453259-5%1,900741%10111.22120,0000.000.00152287,850537,8220771%775%65533012-5%1,90026-1%9911.00110,0000.000.00149282,150527,6990781%785%665336495%2,100651%10111.22120,0000.000.00152318,150538,8980791%795%675341775%2,1009-2%9810.89110,0000.000.00147308,700523,4140801%805%685346595%2,10036-1%9911.00110,0000.000.00149311,850529,2840811%815%695352585%2,100912%10211.33120,0000.000.00153321,300545,8680821%825%70535726-5%1,9002-2%9810.89110,0000.000.00147279,300524,9860831%835%715362585%2,10038-1%9911.00110,0000.000.00149311,850530,8730841%845%72536819-5%1,90017-1%9911.00110,0000.000.00149282,150531,4040852%855%73537328-5%1,900801%10111.22120,0000.000.00152287,850542,6810862%865%7453789-5%1,900501%10111.22120,0000.000.00152287,850543,2240872%875%755384725%2,1005-2%9810.89110,0000.000.00147308,700527,6160882%885%765389625%2,100491%10111.22120,0000.000.00152318,150544,3110892%895%77539510-5%1,900892%10211.33120,0000.000.00153290,700550,2500902%905%78540032-5%1,900801%10111.22120,0000.000.00152287,850545,4000912%915%795405655%2,100491%10111.22120,0000.000.00152318,150545,9460922%925%80541141-5%1,900581%10111.22120,0000.000.00152287,850546,4920932%935%815416825%2,100841%10111.2212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