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www.qvive.biz Calculating Float Activity Precedenc e Duration Start 0 D Start 4 A Start 6 F D, A 7 E D 8 G F, E 5 B F 5 H G 7 C H 8 End C, B 0 1. What is the duration of the critical A) 32 B) 33 C) 31 D) 35 2. What is the float of activity B? A) 0 B) 16 C) 10 D) 15 3. What is the float of Activity F? A) 0 B) 5 C) 13 D) 7 BEST VIEWED IN SLIDE SHOW MODE www.qvive.biz NOTE: This examples uses the “day 0” method for the calculations. Starting the project on day 0 results in easier math.

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Page 1: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

www.qvive.biz

Calculating Float

Activity Precedence

Duration

Start 0

D Start 4

A Start 6

F D, A 7

E D 8

G F, E 5

B F 5

H G 7

C H 8

End C, B 0

1. What is the duration of the critical path?A) 32B) 33C) 31D) 35

2. What is the float of activity B?A) 0B) 16C) 10D) 15

3. What is the float of Activity F?A) 0B) 5C) 13D) 7

BEST VIEWED IN SLIDE SHOW MODE

www.qvive.biz

NOTE: This examples uses the “day 0” method for the calculations. Starting the project on day 0 results in easier math.

Page 2: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

www.qvive.biz

Start End“A” “B”

“C”“D” “E”

“F”

“G” “H”

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1

2

3

1. Precedence Diagram

Calculating Float BEST VIEWED IN SLIDE SHOW MODE

Page 3: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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Start End“A” “B”

“C”“D” “E”

“F”

“G” “H”

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1

2

3

Calculating Float

Page 4: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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“A” “B”

“C”“D” “E”

“F”

“G” “H”

Start End

Q A

1

2

3

6 5

84 8

7

5 7

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Calculating Float

Page 5: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

www.qvive.biz

“A”0

“B”

“C”“D”0

“E”

“F”

“G” “H”

Start End

“X”ES EF

LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1

2

3

6 5

84 8

7

5 7

6

4

6 13

4 12

13 18

25 3313 18 18 25

The latest Late Finish of the preceding activities determines Early Start

6

4

13

12

0 + 6 = 6

Calculating Float

Page 6: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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“A”0 66

“B”13 185

“C”25 338

“D”0 44

“E”4 128

“F”6 137

“G”13 185

“H”18 257

Start End

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1

2

3

The latest Early Finish of the preceding activities determines Critical Path

12

13 18

33

6

4

Calculating Float

B

Page 7: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

www.qvive.biz

“A”0 66

“B”13 185

“C”25 338

“D”0 44

“E”4 128

“F”6 137

“G”13 185

“H”18 257

Start End

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1 B

2

3

0

0

0

0 0

Activities on the Critical Path have Zero Float

Calculating Float

A

Page 8: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

www.qvive.biz

“A”0 66

“B”13 185

“C”25 338

“D”0 44

“E”4 128

“F”6 137

“G”13 185

“H”18 257

Start End

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1 B

2

3 A

0

0

0

0 0

0 6

25 33

6 13

13 18 18 25

Activities on the Critical Path have LS=ES and LF=EF

Calculating Float

Page 9: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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“A”0 6

0 6

6

0

“B”13 185

“C”25 33

25 33

8

0

“D”0 44

“E”4 128

“F”6 13

6 13

7

0

“G”13 18

13 18

5

0

“H”18 25

18 25

7

0

Start End

Q A

1 B

2

3 A

3328

1 5 5 13

15

1 1

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

The earliest Late Start of the following activities determines Late Finish

33 – 5 = 28

28 – 13 = 15

6

5

Calculating Float

D

Page 10: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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“A”0 6

0 6

6

0

“B”13 18

28 33

5

15

“C”25 33

25 33

8

0

“D”0 4

1 5

4

1

“E”4 12

5 13

8

1

“F”6 13

6 13

7

0

“G”13 18

13 18

5

0

“H”18 25

18 25

7

0

Start End

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1 B

2 D

3 A

Calculating Float

What else can we learn from this example?

Page 11: Www.qvive.biz Calculating Float ActivityPrecedenceDuration Start0 D 4 A 6 FD, A7 ED8 GF, E5 BF5 HG7 CH8 EndC, B0 1. What is the duration of the critical

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“A”0 6

0 6

6

0

“B”13 18

28 33

5

15

“C”25 33

25 33

8

0

“D”0 4

1 5

4

1

“E”4 12

5 13

8

1

“F”6 13

6 13

7

0

“G”13 18

13 18

5

0

“H”18 25

18 25

7

0

Start End

“X”ES EF

LS LF

D

F

1. Precedence Diagram 2. Durations3. Forward Pass (ES EF)4. Critical Path5. Float of Critical Path Activities6. Backward Pass (LF LS)

Q A

1 B

2 D

3 A

1 1

Project has increased RISK because of a Near-Critical Path

Calculating Float