CAMINO CRÍTICO
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PLANEACIÓN, PROGRAMACIÓN Y CONTROL DE PROYECTOS
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Autores: Ing. Virgilio Rodríguez 08-0335 Ing. Luis Felipe Disla 08-0178
Derechos reservados. La publicación parcial o total del presente documento debe responder a autorización expresa de sus aut ore s y del Ins tit uto Tecnológico de Santo Domingo, por condición de copropiedad. “Las opiniones y consideraciones emitidas en el presente trabajo de investigación son de exclusiva responsabilidad de sus autores, eximiéndose a el Instituto Tecnológico de Santo Domingo de responsabilidad por las consecuencias, daños o perjuicios que tales juicios de valor pudieran ocasionar a terceras personas o instituciones.”2013. instituciones.”2013. Todos
los
derechos
de
esta
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Autores
ARQ.DERBYGONZÁLEZ
GraduadoenlaUniversidadAutónomadeSantoDomingo(UASD), maestroencienciasdelaarquitecturaenelIns
FACILITADOR
Egresado del Instituto Tecnológico de Santo Domingo, actualmente estudiante de la maestría en Ciencias de Administra de la Construcción en el mismo. Trabaja en la construcción de una torre residencial como ingeniero residente en la constructora Jiménez Martínez.
Profesional de la Ingeniería civil, graduado del INTEC en el año 2012. Cursa actualmente la Maestría en ciencia de Administración de la Construcción (Graduación en Abril 2014). Labora para el Ministerio de Educación de la Republica Dominicana como Asistente de Infraestructura de la Oficina de Cooperación Internacional donde desempeña las funciones de supervisor y monitoreo de obras.
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PREFACIO
Desde el principio de los tiempos, el ser humano se propone metas cada día mas ambiciosas, con nuevos retos y superando limitaciones. A medida que se van desarrollando se trazan objetivos mas ambiciosos, con niveles de complejidad mas elevados. Para lograr sus objetivos, obteniendo el mayor beneficio posible tanto económico como social han surgido propuestas de desarrollo de proyectos. Aún en la actualidad, pese a los avances tecnológicos es difícil controlar un proyecto considerando las limitantes, recursos humanos, calidad y tener un control día a día. Un proyecto no es mas que una planificación de acciones no repetitivas, con una duración determinada, y una secuencia lógica, que necesitan de recursos para poder llevar su ejecución a cabo. Definir todo lo relacionado con el proyecto no basta para lograr que se desarrolle con éxito, controlando tanto el aspecto económico, como el factor tiempo. Las capacidades administrativas administrativas o gerenciales para planificar y controlar el proyecto deben estar al nivel necesario para que la meta se cumpla con los costos y el tiempo programado. CPM-PERT
es
un
sistema
dinámico
que
permite
al
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prólogo
Este libro ha sido diseñado con el propósito de servir de guía y referencia para el estudio de los métodos de programación CPM- PERT, como los métodos impartidos en la materia de Planeación y Control de Proyectos del Instituto Tecnológico de Santo Domingo (INTEC). Este proyecto toma como base el libro Iniciación del Camino Crítico de Agustín Montaño que explica el desarrollo del método CPM-PERT, además de las explicaciones teóricas de los diferentes procesos. Para desarrollar esta obra aplicamos cada proceso mostrado en un proyecto de una línea de impulsión por medio de un Cárcamo de Bombeo. Nuestro objetivo principal es demostrar de forma práctica el proceso de aplicar este método a un proyecto real, mostrar el cómo afecta adelantar la programación del proyecto, cómo podemos reducir tiempos y revelar cómo modifica lo económico. Una programación fundamentada en este proceso y un control diario de la realización de las tareas es una
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ÍNDICE
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Método del Camino Crítico (CPM/PERT)
Planeación y Programación
Red de Actividades
1.1 1.2 1.3 1.4 1.5
Origen y Fusión Usos Ventajas del uso de CPM-PERT Diferencias entre los métodos CPM-PERT. Metodología de aplicación
2.1 2.2 2.3 2.4 2.5 2.6
Descripción del proyecto Lista de actividades Descripción de actividades Determinación de tiempos Matriz de tiempos Matriz de antecedentes y secuencias
3.1 Concepto de red de actividades 3.2 Red de actividades del proyecto.
Red de Vencimientos Sucesivos
4.1. Concepto 4.2 Red de vencimientos sucesivos
Compresión de la Red
5.1 Concepto 5.2 Matriz de pendientes 5.3 Red comprimida
Limitaciones en la Ejecución de Proyectos
6.1 Concepto 6.2 Matriz con limitaciones 6.3 Red de actividades con limitación de recursos
Matriz de elasticidad
7.1 Concepto 7.2 Matriz de Elasticidad 7.3 Método Gráfico Cálculo Holguras
Programación de Recursos
8.1 8.2 8.3 8.4
Concepto Flujo de Caja Matriz de Responsabilidad Gráficas Burgees
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1.1
ORIGEN
Dos de los orígenes del método del camino crítico son: El método PERT, el primero primero y el método CPM, el s segundo. egundo.
Dirigido a la resolución de idénticos objetivos que el CPM, pero utilizado en los casos en donde los datos son de índole probabilística. Está diseñado para manejar actividades de tiempo de duración desconocida, como es el caso de los programas de investigación y desarrollo. Lo que ha caracterizado al método desde su concepción son las Redes PERT, diagramas de líneas de tiempo que se interconectan. PERT está diseñado para proyectos de gran escala, que se ejecutan de una vez, complejos y no rutinarios.
Permite conocer la duración normal del proyecto y los tiempos disponibles para la realización de cada tarea, cuando se tiene como dato la duración estimada de cada tarea con suficiente aproximación, y las tareas están bien definidas.El método CPM se opera con el objetivo principal de determinar la duración total de la ejecución de un proyecto, el cual estará compuesto por una
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1.2 USOS
El campo de acción de este método es muy amplio, se puede observar una capacidad muy amplia, ya que tiene una gran flexibilidad y adaptabilidad a cualquier proyecto grande o pequeño. Para obtener mejores resultados, los proyectos a los cuales serán aplicados este método, deben de poseer las siguientes características: 1.Que el proyecto sea único, no repetitivo, en algunas partes o en su totalidad.
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1.3
VENTAJAS
El CPM-PERT nos ofrece ciertas ventajas al utilizarlo, pues un diagrama de fechas o Red de actividades, correctamente elaborada, es en esencia un modelo matemático lógico del proyecto basado en el tiempo optimo para cada elemento de trabajo, y obteniendo el uso más económico de los recursos disponibles (mano de obra, equipos, financiamiento, etc.). Durante la ejecución del proyecto permite revisar sistemáticamente las situaciones que en cada momento vayan surgiendo, de tal manera que es posible tomar las previsiones necesarias como consecuencia de la incertidumbre en la planeación original y facilita la revaluación de futuras dudas, y las medidas a tomar para aquellas operaciones que requieran corrección o aceleración. Beneficios específicos que podemos tener gracias a la utilización del CPM-PERT: Fomenta una disciplina lógica
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1.4 DIFERENCIAS
La principal diferencia entre PERT y CPM es la manera en que se realizan los estima-dos de tiempo, en el PERT se supone que el tiempo no.1 hará realizar cada una de las actividades en una variable aleatoria descrita por una distribución de probabilidad. En el CPM por otra parte, infiere que los tiempos de las actividades se conocen en formas determinísticas y se pueden variar cambiando el nivel de recursos utilizados en las actividades del proyecto. La distribución de tiempo que supone el PERT para una actividad es una distribución beta. La
distribución
para
cualquier
actividad
se
define
por
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El método del camino crítico consta de dos ciclos: 1.Planeación y Programación 2.Ejecución y Control Que a su vez, el primer ciclo se compone de las siguientes etapas: a) Definición del proyecto b) Lista de actividades c) Matriz de secuencias d) Matriz de tiempos e) Red de actividades f) Costos y pendientes
g) Compresión de la red h) Limitaciones de tiempo, de recursos y económicas i) Matriz de elasticidad j) Probabilidad de retraso
El primer ciclo termina hasta que todas las personas directoras o responsables de los diversos procesos que intervienen en el proyecto están plenamente de acuerdo con el desarrollo, tiempo, c o s t o s , e l e m e n t o s utilizados, coordinación, etc. tomando como base la red del camino critico diseñada al efecto.
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2.1
DESCRIPCIÓN DEL PROYECTO
En todo proyecto a realizar se requieren conocimientos precisos y claros de lo que se va a ejecutar, de su finalidad, viabilidad, elementos disponibles, capacidad financiera, etc. Esta etapa aunque es esencial para la ejecución del
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2.2 LISTA DE ACTIVIDADES
No.
Actividad
1
LIMP LIMPIE IEZA ZA2Y 2Y2E 2EXT XTRA RACC CCIO ION2 N2DE DE2C 2CAP APA2 A2VE VEGE GETA TAL L
REPLANTEO
3
EXCA EXCAVA VACI CION ON2ZA 2ZAPA PATA TA2M 2MURO URO2PE 2PERI RIME METR TRO2C O2CAN ANCH CHA A
4
EXCA EXCAVA VACI CION ON2ZA 2ZAPA PATA TA2M 2MURO UROS2 S2DE DE2GR 2GRAD ADA A
5
EXCAVA EXCAVACIO CION2Z N2ZAPA APATA2 TA2MUR MUROS2 OS2DE2 DE2BAÑ BAÑOS2 OS2Y2V Y2VEST ESTIDO IDORES RES
6
EXCA EXCAVA VACI CION ON2ZA 2ZAPA PATA TA2S 2SOP OPOR ORTE TE2T 2TABL ABLER ERO O
7
BOTE BOTE2D 2DE2 E2MA MATE TERI RIAL AL2I 2INS NSER ERVI VIBL BLE E
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31
COLOCA COLOCACIO CION)B N)BLOC LOCK)S K)SNP) NP)MUR MUROS) OS)DE) DE)BAÑ BAÑOS) OS)Y)V Y)VEST ESTIDO IDORES RES
32
ENCO ENCOFR FRAD ADO)P O)PER ERIM IMET ETRO RO)C )CAN ANCH CHA A
33
DESE DESENC NCOF OFRA RADO DO)PE )PERI RIME METR TRO) O)CA CANC NCHA HA
34 35 36 37 38 39 40
ARMADO)DE)MALLA)ELECTROSOLDADA)PARA)LOSA)DE) CANCHA COLOCA COLOCACIO CION)D N)DE)H E)HORM ORMIGO IGON)S N)SEMI EMI=PU =PULID LIDO)C O)CANC ANCHA HA ENCOFRADO)DE)VIGA)DE)AMARRE)Y)LOSA)DE)TECHO)BAÑOS) Y)VESTIDORES INST INSTAL ALAC ACIO ION) N)EL ELEC ECTR TRIC ICA) A)EN EN)T )TEC ECHO HO DESENCOFRADO)DE)VIGA)DE)AMARRE)Y)LOSA)DE)TECHO) BAÑOS)Y)VESTIDORES ARMADO)DE)VIGA)DE)AMARRE)Y)LOSA)DE)TECHO)BAÑOS)Y) VESTIDORES COLOCACION)DE)HORMIGON)DE)VIGAS)DE)AMARRE)Y)LOSA) DE)TECHO)BAÑOS)Y)VESTIDORES
41
COLOCA COLOCACIO CION)D N)DE)T E)TUBE UBERIA RIAS)E S)ELEC LECTRI TRICAS CAS)Y) )Y)SAN SANITA ITARIA RIAS S
42
PAÑETE EXTERIOR
43
PAÑE PAÑETE TE)D )DE) E)TE TECH CHO) O)IN INTE TERI RIOR OR
44
PAÑE PAÑETE TE)S )SOP OPOR ORTE TE)T )TAB ABLE LERO RO
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DESCRIPCIÓN DE ACTIVIDADES
2.3
Remoción de la Capa Vegetal con 1 cargador frontal con un operador para luego proceder a la nivelación del mismo
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La excavación seria a mano utilizando compresores con pistolas de aire y palas para remover el material y seguir excavando.
L a excavación seria a mano utilizando compresores con pistolas de aire y palas para remover el material y seguir excavando. 7) Uso de camiones para botar material inservible que no
el se
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Vaciado de Hormigón en la Zapata de Muro en perímetro cancha para la colocación de BLOCKS
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COLOCACIÓN DE BLOCKS DE 6” POR DEBAJO DEL NIVEL DE TERMINADO CON TODOS LOS HOYOS LLENOS PARA EVITAR FALLAS.
PISO
COLOCACIÓN DE BLOCKS DE 6” POR DEBAJO DEL NIVEL DE TERMINADO CON TODOS LOS HOYOS LLENOS PARA EVITAR FALLAS.
PISO
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RELLENO DE MATERIAL CALIFICADO PARA EL INTERIOR DE LA CANCHA COMO NIVEL BASE PARA EL PISO DE HORMIGÓN ARMADO DE LA CANCHA.
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VACIADO DE HORMIGÓN EN LA CANCHA CON TERMINACIÓN DE PULIMIENTO CON MAQUINAS.
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COLOCACIÓN DE PAÑETE DE SUPERFICIE EN EL EXTERIOR DE LOS BAÑOS Y VESTIDORES.
TERMINACIÓN DE SUPERFICIE CON PAÑETE EN EL TECHO DE LOS BAÑOS Y VESTIORES.
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8.3 MATRIZ DE RESPONSABILIDAD C T
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2 C N T
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1 C N T
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V A
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C A C O P A
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M X O R I
Código IR OM MC OA AA OP AP OC AC OV
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L A T E G d E a d V i v A i t P c A A C E D N O I C C A R T X E
S E R S O E A D R I H T O C S A D E N I H T V A C S C Y N E O A S V A R D O C Y T Ñ O A S O E A R A R D O R M G B T A Ñ E I E R A L R E E E D D M G B B A I P S S R E E T E D D E E O O O P S S T L R R R B U U U O O O R I O V M M M R R R P U U U R A O E A A T T M M M S S T A A N A A A A A I P P P T T T T L A A A A A A A A Z Z Z P P P P I A A A A R O O O Z Z Z Z E R R R T E E E N N N N A C C C
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X
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X X
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X
X X
X
X
X
X
X
X
X
X X X
X
X
X X X
X
X
O R O E L R E B L A B O T A R E T E T E L R D B O A P E T T O R E S O D A P E T O T A S R P A O A N P Z O O M S R U A E L G C O I A C V O O O D D D A A A M M M
X X
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X X X X
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X X X
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A Y H E E S O C A D D R S E O N Y H A D S S E Ñ C A S L D A S O O O B A C S N Y O Y A E R R R S B E A A A R O A S O Ñ S R U U U T R O C D O R D O R G A O M M M O L O A T A Ñ E E H E B D Y D L E R A R N I I T C Ñ D A O A A E T A B E T A E R G T T T M G B A H H ) S B S A A T R I O A A E S E P T C C S E R R E E O E P O P P D O V A E D D E V N E A R O D A A O L H T A P S S A S T Y E T Y Z A Z Z S C M L A H A C E O N S E O O O R A S B C A S N N N N H R C R E O D T R R R O A N D O O O O N U I O O E E A O A I I I A C Ñ U U U P L T A A Ñ I D P I D O S C C C C R A D A M A Y E C L O M M M S C S A A A A A ( G B T A E A D U L A T T T E S S B A A A A O E E T R S P E O R H A Y C C C D A G T T T T R D D C O I O I O R O D D C O A A A A R A A A A D E R P T L V D S A N L A A S S P P P P E P P P P R H M R E O E L O N A O H A O E E C M Y A A A A L O O M M M M I S I M C R Z Z Z Z B B E A D I R R O O O O R L I R C C S S A E T R U U C E O R U N O O N R N N N N A A N N S C C C E E T I B T A R O M N D R O O O O T E O P M M Y O E C R Y Y Y I V M A A N T R A E T E G G G G G F G G O C I E A I I I I D T I P P P N N N N P E P O E E I M A R N N O O O O O N R N R M L M D C I G A D M M M M E O M N M I I I I S I D S P S T I E R T R R R R T P R B B B I R V E A R C A I C C E I C A K E R I K K I T E O O O O R O O K A O I D O S T C S K G E S S S S R H C C C C M P L H C D A H H H H O S H O O O O C O O O O C O A O I H E V L V E P G A R E E E E E L L L P N P P D P P L I L E O A E E L O I G E Y O O I E E D D D D S D D B B B E A E B V B P D M D D E D V D S R R R T R M A A S N N N N S N O A N N N N E C E N N N N E E S S N O E E O O O O O R D O O S O R O I O I O E I O D R O I O I O I O D O D E O Ñ E I E D E I I I I I I I D D F D D C F F V R C O R O R C A C C C R C A O C C C C O R C C C C A A O O T O O Y O O A A A R C A C O D O A B A A A O A R C A A A A A R O L C C C I C F I D C F N C C C C N E N A N S N N C C C F N D D N I D I D C O A E M E D E O E E O O O O E O O O T O O E O O O O L O O T A E T A T O H L L L L M M
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X
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X
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X X X X X X X X X X
X
X X X X X X X
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X X X X X X
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X X
X X
O S D E O A O R C R I O R E R D E I S L B L T Y B O Y S I B S S A A S F R A A T O I E S T E O V Ñ O S R E E R Ñ E A R A Y D P E T A T B C I O Z E R S B C D T N O O E U N O I O A R L A S I P Ñ I T D Y S S S O E C A P O P E D S Y D A S B E S V E O E I S N S S D E O R R I S A Y O A T O O R A S Y A N C M S D T T C I P A A O I O U A N N I R T T T L I P N T A A M E S H E I N N Ñ C C C A A E C E E E A A B V N D D Y Y R L V S S C E I A S S E R S Y O Y A A N S S I A A C S O O A O R A O H S C D I M O S I T T A R E E Y C O N A C R R E G T A I A E R E A O R A A E N E R T T Ñ I A R E L H H R E R E R T B C C T A C G L P L I D T C E E R B A A B B M N A A E T R N P U T R I U I T O O O E A A A Z D S L P N L T J E T R O E M M T D A O S I Y E A E I O H T E E E A O N E E E L Z I O E R Ñ I D D L D D D R C R D D D T D A E E R E E O T S U N N N N I N E T P N S N S N N I N N N B E E O S O X O I O I O T O E I O I O I O F O I I O I A E Y M I I X E O I C E D S C C C R M R C C C E A A A C C C C A O A I A M R R R A A A C Z A E E E C C A O I L R L R L E E C T T T E E C I D D T V L S A T A E U U U A A A F I O E E E F F O T E I T C T P T T T T N P L Ñ Ñ Ñ N N L S V S T C T E S S S N N N M O A A A O O O E E E N L N M I I I X N S N O I V V
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8.4 GRÁFICAS BURGEES Relleno'de'Reposición'y'Compactación'Zapata'muro'de'Baños'y' Vestidores Duración Opción'1
1
2
3
4
5
Obrero+1 Obrero+2 Obrero+3 Burgess
18 Duración
Opción'2
1
2
3
4
5
Obrero+1 Obrero+2 Obrero+3 Burgess
14 Duración
Opción'3
1
2
3
4
5
Obrero+1 Obrero+2 Obrero+3 Burgess
12 Duración
Opción'4
1
2
3
4
Obrero+1 Obrero+2 Obrero+3 8
Burgess
Encofrado'Perímetro'Cancha Duración Opción'1
1
2
Obrero(1 Obrero(2 Obrero(3 Obrero(4 Burgess
32 Duración
Opción'2 Obrero(1 Obrero(2 Obrero(3 Obrero(4
1
2
5
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CAPÍTULO IX
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9.1 CONCEPTO: EJECUCIÓN Y CONRTROL DE PROCESOS
Cuando las personas que intervienen en la ejecución del proyecto están plenamente satisfechas con los tiempos, secuencias, costos y distribución de los re-cursos humanos y materiales, debe aprobarse el mismo. En este momento debe quedar terminado el programa de trabajo con lo siguiente: • • •
•
•
• •
• •
•
La lista de actividades. El presupuesto general. Las especificaciones de actividad. El señ ala miento de pue sto s y responsabilidades responsabilidades y organización de mando. La red de actividades. Las condiciones limitantes de trabajo. Los procedimientos de trabajo. El equipo necesario. Los planos y esquema de itinerario y de horario. Las matrices de información.
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9.2 CONTROL DE PROYECTO f(D-a)
0.0090
Dia
Actividades Por Dia
Actividades Acumuladas
Avance Programado Por Dia
1
1
1
0. 0 0 9 0
2
1
2
0. 0 1 8 0
3
1
3
0. 0 2 7 0
4
1
4
0. 0 3 6 0
5
1
5
0. 0 4 5 0
6
1
6
0. 0 5 4 1
7
3
9
0.0811
8
4
13
0.1171
9
4
17
0.1532
10
4
21
0.1892
11
4
25
0.2252
12
5
30
0.2703
13
5
35
0.3153
14
4
39
0.3514
15
5
44
0.3964
16
5
49
0.4414
17
6
55
0.4955
18
6
61
0.5495
19
5
66
0.5946
20
5
71
0.6396
21
5
76
0.6847
22
5
81
0.7297
23
4
85
0.7658
24
3
88
0.7928
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9.3 GRÁFICAS BURGEES ORDEN&DE&TRABAJO
PROYECTO
PROCESO
ACTIVIDAD
RESP.
INIC.
TERM.
TEMP. TARDIA TEMP. TARDIA
TIEMPO DE DURACION
HOLGURAS
% AVANCE POR DIA
TOTAL
LIBRE
%
%
COMPRESION:&DIAS
%
INSTRUCCIONES:
PRESUPUESTO MANO&DE&OBRA P
R
P $
R $
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CAPÍTULO X
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10.1 CONCEPTO : EJECUCIÓN CONTROL Y
DE PROCESOS
Entendemos por proceso cualquier ruta de actividades, no repetitivas, que forme parte de nuestra red. Para un mismo proyecto se pueden identificar distintas distribuciones distribuciones de procesos. La importancia de agrupar las actividades en procesos es lograr obtener porcentajes de avances y porcentajes de rendimiento según el desenvolvimiento de la persona responsable de la ejecución de un determinado proceso.
En virtud de que cada uno de los procesos componentes del proyecto es conducido por distintas personas que tienen la responsabilidad de iniciar y terminar sus actividades a tiempo, es necesario que tengan su gráfica de control en donde puedan observar tanto el avance de su proceso como su rendimiento. Esta gráfica es similar a la de rendimiento usado en el proyecto.
En virtud de que cada uno de los procesos componentes del proyecto es conducido por distintas personas que tienen la responsabilidad de iniciar y terminar sus actividades a tiempo, es necesario que tengan su gráfica de control en donde puedan observar tanto el avance de su proceso
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10.2 CONTROL DE PROCESOS
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11.1
CONCEPTO:PROCEDIMIENTO DE EVALUACIÓN Cuando ocurre un adelanto en la ejecución de una actividad es fácil tomar la decisión de empezar la siguiente si se cuenta con los recursos humanos y materiales que se requieren. Pero ese no es la situación en el caso de un retraso, ya que por lo general estos modifican los costos además de que transforman las secuencias y se pierde la disponibilidad del tiempo. Por esta razón es necesario poseer un
Es probable que la característica más valiosa que tiene CPM PERT sea que da un valor monetario a los cambios y alteraciones que sufre el plan de construcción adoptado.
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Este procedimiento es bastante sencillo ya que si tomamos el tiempo programado de ejecución y lo multiplicamos por el tanto por uno de la cantidad de trabajo que falte por realizar el resultado es el tiempo que se requiere para terminar normalmente con la actividad. Al tiempo anterior se le resta el tiempo disponible y la diferencia representa el retraso, el cual debe ser absorbido por la holgura total.
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