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 y ro ec ann ng an c e ung s requre 1. Define the  wor k to  be performed 2. Develop more realistic  schedules  and cost  estimates based on resources planned to perform the  work .  . , cost, and technical  performance objectives. 4. Identify  those areas developing potential  delays  or  cost  over  runs, in time to  permit corrective  action.

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 y ro ec ann ng an c e u ng s requ re

1. Define the  work to be performed2. Develop more realistic schedules and cost estimates based on resources planned to perform the  work. .  , cost, and technical performance objectives.4. Identify  those areas developing potential delays or cost over runs, in time to permit corrective action.

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Methods of Planning and Scheduling

Bar  Chart Milestone Chart  Network  Diagrams:

1. CPM 2. PERT 

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 •  

 jobs to be done and the time taken to .

• Chart consists

 of 

 two

 axes,

 the

 horizontal

 axis

 complete the  jobs and the vertical axis 

. • The preparation of  Gantt chart follows the 

ana ys s.

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 Sr. No.Sr. No. OperationsOperations

WeeksWeeks % Completion% Completion

11 22 33 44 55 66 77 88 99 1010

11 

SITESITE100%100%

100%100%

33 SUBGRADESUBGRADE 40%40%

Actual

44BASEBASE

COURSECOURSE0%0%

55 PAVEMENTPAVEMENT 0%0%

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LIMITATIONS OF BAR CHARTS

•  activities 

• It does not show uncertainties involved in the wor .

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 •   .

• Milestones are key events that occur during e execu on o  e pro ec .

• These  are  identifiable  events  whose occurrences  can  be  monitored  as indicators of  progress of  the project.

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• PDM NETWORK:-

.  2. FINISH TO FINISH (FF)3.  4. FINISH

 TO

 START

 (FS)

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PDM NETWORK CONCEPT:-

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Project Network

• e wor ana ys s s e genera name g ven o cer a n spec c ec n ques w c canbe used for the planning, management and control of projects

Use of nodes and arrows

• Arrows An arrow leads from tail to head directionally

 – Indicate ACTIVITY, a time consuming effort that is required to perform a part ofthe work.

• Nodes A node is represented by a circle

- Indicate EVENT, a point in time where one or more activities start and/or finish.

• Activity – as or a cer a n amoun o wor requ re n e pro ec

 – Requires time to complete

 – Represented by an arrow

• ummy c v y – Indicates only precedence relationships

 – Does not require any time of effort

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Project Network

• Event

 – Signals the beginning or ending of an activity

 – 

 – Represented by a circle (node)• Network

 – ows e sequen a re a ons ps among ac v es us ng no es anarrows

Activity-on-node (AON)

nodes represent activities, and arrows show precedence relationships

Activity-on-arrow (AOA)

arrows represent act v t es an no es are events or po nts n t me

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AOA Project Network for House

1

1

2 0

33 2 3 1 1

Lay foundation Dummy

Finishwork

Buildhouse

4

5 6

7

1

Design house

and obtainfinancing

Order and

receivematerials

Selectcarpet

Selectpaint

AON Project Network for House

2

2

4

3

 

Build house

Finish work

13

3 6

1Start

Design house and

darla/smbs/vit 12

11

 

Order and receive

materials Select paint

Select carpet

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Situations in network diagramB

C

A must finish before either B or C can start

B

C both A and B must finish before C can start

CA

both A and B must finish before either of C or D can

DB

AB

DummyA must finish before B can start

both A and C must finish before D can start

C

D

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Example

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EXAMPLE

Activity Immd. Predecessor Duration

A - 3

C B 2

D B 3E C 4

F D 1

G A 4

H G 3

I E,F,H 2

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AOA Example

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CPM

• It is a deterministic method.

 

of various activities in a project is assumed to.

• Each arrow represents an activity in the project.

 point of the activity & the head represents the

.

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Critical Path

• “The specific set of sequential tasks upon whiche pro ec comp e on a e epen s

 – or “the longest full path”

• All projects have a Critical Path.

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DIFFERENT WAYS OF REPORTING AN

ACTIVITY IN PDM NETWORK DIAGRAM

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Example

Activity Immd. Predecessor Duration (days)

A - 30

B A 60

C A 45

E B 60

F C 15

G E 30

H D,F,G 0

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Example Step 1

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Forward Pass

• To determine early start (ES) and early finishmes or eac as

• Work from left to right

• Adding times in each path

• ,the next task is the largest of preceding EF

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Example Step 2

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Backward Pass

• To determine the last finish (LF) and last

• Start at the end node

• Compute the bottom pair of numbers

’• u uearliest start time

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Example Step 3

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Example Step 4

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• Draw the CPM network

• Analyze the paths through the network

 

 – Compute the activity’s float

float = LS - ES = LF - EF – Float is the maximum amount of time that this activity can be

delay in its completion before it becomes a critical activity,i.e., delays completion of the project

• Find the critical path is that the sequence of activities andevents where there is no “slack” i.e.. Zero slack

 – Longest path through a network

• Find the project duration is minimum project completion time

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CPM Example:

• CPM Network

f, 15f, 15f, 15f, 15

a, 6a, 6a, 6a, 6g, 17g, 17g, 17g, 17 h, 9h, 9h, 9h, 9

i, 6i, 6i, 6i, 6

,,,,

d, 13d, 13d, 13d, 13  j, 12 j, 12 j, 12 j, 12

c, 5c, 5c, 5c, 5

e, 9e, 9e, 9e, 9

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CPM Example

• ES and EF Times

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CPM Example

• ES and EF Times

C

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CPM Example

• ES and EF Times

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CPM Example

• LS and LF Times

C

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CPM Example

• LS and LF Times

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• Float

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CPM Example

• Critical Path f, 15f, 15f, 15f, 15

a, 6a, 6a, 6a, 6 g, 17g, 17g, 17g, 17 h, 9h, 9h, 9h, 9

b, 8b, 8b, 8b, 8

, 6, 6, 6, 6

d, 13d, 13d, 13d, 13 j, 12 j, 12 j, 12 j, 12

c, 5c, 5c, 5c, 5

e, 9e, 9e, 9e, 9

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Network Diagrams

• Advantages – 

 – Reveal interdependencies not shown in other techniques – Ability to calculate critical path

 – Ability to perform “what if” exercises

• Disadvantages – 

• You need to incorporate this yourself (Resource Dependencies)when determining the “real” Critical Path

 – cu o o ow on arge pro ec s