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Draw network and determine project duration, critical path. Also calculate total float & free float for all the activities.

Mumbai University > Civil Engineering > SEM 8 > Construction Management

Marks: 12M

A Project consists of following activities. Their sequence and duration are also given in following table. Draw network and determine project duration, critical path. Also calculate total float & free float for all the activities.

A B C D E F G H I J
Activity 1-2 1-3 2-3 2-4 4-6 3-6 3-5 5-6 5-7 6-7
Duration 2 3 7 2 2 5 3 1 4 6
1 Answer
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EFT=EST+d, LST=LFT-d …………………….. (d=Duration)

Activity Duration EST EFT LST LFT T.F F.F
A(1-2) 2 0 2 0 2 0 0
B(1-3) 3 0 3 6 9 6 6
C(2-3) 7 2 9 2 9 0 0
D(2-4) 2 2 4 10 12 8 0
E(4-6) 2 4 6 12 14 8 8
F(3-6) 5 9 14 9 14 0 0
G(3-5) 3 9 12 10 13 1 0
H(5-6) 1 12 13 13 14 1 1
I(5-7) 4 12 16 16 20 4 4
J(6-7) 6 14 20 14 20 0 0

Total float = LFT-EFT or LST-EST

Free float = $T_B-d-T_A$

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Project duration = 20 Days

Critical path = 1-2-3-6-7

i.e. A-C-F-J

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