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.
A key idea in project management is the critical path, which is used to estimate the quickest time frame for completion of a project. It outlines the order in which the various tasks must be completed in order for the project to be finished on time. The project's total schedule will be directly impacted by any delays in tasks that are on the critical path.
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