Consider the following project schedule and respond to the requirements that follow (all times are in days). Activity Predecessors a m b A ---- 12 16 20 B ---- 18 28 32 C A 6 9 12 D B 7 16 19 E C, D 4 10 16 F D, E 18 30 36 G F 5 8 17 H F, G 15 25 35 I F, G 22 26 36 J G 15 19 29 K I, H 24 32 34 (a) Construct a project network diagram using the AON technique, i.e. Activity on Node technique (and NOT AOA or activity on arc technique). Be sure to have a start node and a finish node and include the expected activity times for each node. (b) Determine the critical path and expected project completion time using the “critical path method”. Show ES, EF, LS and LF times, as well as slack for all activities. (c) Determine the standard deviation of the project completion time T; what is the probability that the project will take more than 185 days to complete? (d) Assume that you are a contractor and are bidding for the project. You want to propose a project completion time that you might fulfill with 98% chance probability: what project completion time would you bid?
Consider the following project
|
Activity |
Predecessors |
a |
m |
b |
|
A |
---- |
12 |
16 |
20 |
|
B |
---- |
18 |
28 |
32 |
|
C |
A |
6 |
9 |
12 |
|
D |
B |
7 |
16 |
19 |
|
E |
C, D |
4 |
10 |
16 |
|
F |
D, E |
18 |
30 |
36 |
|
G |
F |
5 |
8 |
17 |
|
H |
F, G |
15 |
25 |
35 |
|
I |
F, G |
22 |
26 |
36 |
|
J |
G |
15 |
19 |
29 |
|
K |
I, H |
24 |
32 |
34 |
(a) Construct a project network diagram using the AON technique, i.e. Activity on Node technique (and NOT AOA or activity on arc technique). Be sure to have a start node and a finish node and include the expected activity times for each node.
(b) Determine the critical path and expected project completion time using the “critical path method”. Show ES, EF, LS and LF times, as well as slack for all activities.
(c) Determine the standard deviation of the project completion time T; what is the probability that the project will take more than 185 days to complete?
(d) Assume that you are a contractor and are bidding for the project. You want to propose a project completion time that you might fulfill with 98% chance probability: what project completion time would you bid?
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