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PERT & GANTT CHARTS
An Introduction
Program Evaluation & Review
Technique (PERT) • Is used in planning & organising phase of a
project.
• Uses task times & dependencies to determine
the sequence of events & how they control
how long the project will take – critical path.
• Booz Allen Hamilton 1958 – Working on US
Naval Contract
PERT Diagram - Purpose
Purpose
• To determine the overall project cumulative
elapsed time
• To determine ways to allocate resources to
reduce project cumulative elapsed time
PERT DIAGRAM - Process
•
•
•
•
•
•
Step 1 – Task Table
Step 2 – Diagram & Dependencies
Step 3 – Task Execution Times
Step 4 – Cumulative Elapsed Time
Step 5 – Critical Path
Step 6 – Reduce Project Time
PERT STEP 1 – Task Table
TASK ID
DEPENDENCIES
UNITS (DAYS)
A
Start
2
B
A
4
C
A
6
D
A
5
E
C,D
3
F
B
4
G
E,F
2
Finish
G
PERT Step 2 – Diagram &
Dependencies
START
A
B
F
C
E
D
G
FINISH
PERT Step 2 – Diagram &
Dependencies
START
A
B
F
C
E
D
G
FINISH
PERT Step 2 – Diagram &
Dependencies
START
A
B
F
C
E
D
G
FINISH
PERT Step 2 – Diagram &
Dependencies
START
A
B
F
C
E
D
G
FINISH
PERT Step 3 – Task Execution Times
START
A2
B4
F4
C6
E3
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
B4
F4
C6
E3
0
START
A2
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
B4
F4
C6
E3
0
START
A2
2
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
C6
E3
0
START
A2
2
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
0
8
START
C6
A2
2
D5
E3
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
0
8
START
C6
A2
2
E3
7
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
10
0
8
START
C6
A2
2
E3
7
D5
G2
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
10
0
8
START
C6
A2
E3
G2
11
2
7
D5
FINISH
PERT Step 4
Cumulative Elapsed Time
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 4
Cumulative Elapsed Time =13
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 5 - Critical Path
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 5 - Critical Path
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 5 - Critical Path
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 5 - Critical Path
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 5 - Critical Path
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 6 – Reduce Project Time
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT Step 6 – Reduce Project Time
6
B4
F4
10
0
8
START
C6
A2
13
E3
G2
11
2
7
D5
FINISH
PERT – Stochastic PERT
6
B 3-4-5
F 2-4-6
10
0
8
START
C 5-6-7
A 1-2-3
13
E 2-3-4
G 1-2-3
11
2
7
D 3-5-7
FINISH
PERT – Stochastic PERT
6
B 3-4-5
F 2-4-6
10
0
8
START
C 5-6-7
A 1-2-3
13
E 2-3-4
G 1-2-3
FINISH
11
2
7
D 3-5-7
D 3-5-7
PERT – Stochastic PERT
6
B 3-4-5
F 2-4-6
10
0
8
START
C 5-6-7
A 1-2-3
13
E 2-3-4
G 1-2-3
FINISH
11
2
7
D 3-5-7
D 3-5-7
PERT – Stochastic PERT
6
B 3-4-5
F 2-4-6
10
0
8
START
C 5-6-7
A 1-2-3
13
E 2-3-4
G 1-2-3
FINISH
11
2
7
D 3-5-7
D 3-5-7
PERT – Stochastic PERT
6
B 3-4-5
F 2-4-6
10
0
8
START
C 5-6-7
A 1-2-3
13
E 2-3-4
G 1-2-3
FINISH
11
2
7
D 3-5-7
D 3-5-7
Gantt Chart
• Shows planning schedule of the tasks for the
project
• Shows progress to date
• First Used by Henry Gantt 1910
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart
6
B4
F4
10
0
8
START
13
C6
A2
E3
FINISH
G2
11
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days
Gantt Chart – C halved
6
B4
F4
10
0
5
START
12
C3
A2
E3
FINISH
G2
10
2
7
D5
1
T
A
S
K
S
A
B
C
D
E
F
G
2
3
4
5
6
7
8
9
10
11
12
13
14
Days