Duration of activity A = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity A = 5 + 4 (5) + 25 / 6 Duration of activity A = 8 Duration of activity B = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity B = 3 + 4 (5) + 8 / 6 Duration of activity B = 5 Duration of activity C = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity C = 7 + 4 (5) + 8 / 6 Duration of activity C = 6 Duration of activity D = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity D = 4 + 4 (4) + 5 / 6 Duration of activity D = 4 Duration of activity E = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity E = 10 + 4 (19) + 34 / 6 Duration of activity E = 20 Duration of activity F = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity F = 3 + 4 (14) + 18 / 6 Duration of activity F = 13 Duration of activity G = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity G = 6 + 4 (16) + 20 / 6 Duration of activity G = 15 Duration of activity H = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity H = 32 + 4 (44) + 65 / 6 Duration of activity H = 46 Duration of activity I = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity I = 12 + 4(17) + 25 / 6 Duration of activity I = 18 Duration of activity J = Optimistic + 4 (Most Likely) + Pessimistic / 6 Duration of activity J = 2 + 4 (8) + 18 / 6 Duration of activity J = 9 Activity Precedence Duration A -- 8 B -- 5 C A 6 D B 4 E B 20 F C,D 13 G E 15 H F 4 I G,H 18 J G 9 Questions: 1. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you fully label all nodes in the network. 2. Identify the project’s critical path and its length.
Duration of activity A = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity A = 5 + 4 (5) + 25 / 6
Duration of activity A = 8
Duration of activity B = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity B = 3 + 4 (5) + 8 / 6
Duration of activity B = 5
Duration of activity C = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity C = 7 + 4 (5) + 8 / 6
Duration of activity C = 6
Duration of activity D = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity D = 4 + 4 (4) + 5 / 6
Duration of activity D = 4
Duration of activity E = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity E = 10 + 4 (19) + 34 / 6
Duration of activity E = 20
Duration of activity F = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity F = 3 + 4 (14) + 18 / 6
Duration of activity F = 13
Duration of activity G = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity G = 6 + 4 (16) + 20 / 6
Duration of activity G = 15
Duration of activity H = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity H = 32 + 4 (44) + 65 / 6
Duration of activity H = 46
Duration of activity I = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity I = 12 + 4(17) + 25 / 6
Duration of activity I = 18
Duration of activity J = Optimistic + 4 (Most Likely) + Pessimistic / 6
Duration of activity J = 2 + 4 (8) + 18 / 6
Duration of activity J = 9
|
Activity |
Precedence |
Duration |
|
A |
-- |
8 |
|
B |
-- |
5 |
|
C |
A |
6 |
|
D |
B |
4 |
|
E |
B |
20 |
|
F |
C,D |
13 |
|
G |
E |
15 |
|
H |
F |
4 |
|
I |
G,H |
18 |
|
J |
G |
9 |
Questions:
1. Draw an AON network diagram and calculate its early start, early finish, late start and
late finish times, floats (Free and total) for each activity. Make sure you fully label all
nodes in the network.
2. Identify the project’s critical path and its length.
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