Consider the project described in the following table: ACTIVITY PREDECESSORS DURATION (weeks)* A - N(4,1) B -
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Question:
Consider the project described in the following table:
ACTIVITY | PREDECESSORS | DURATION (weeks)* |
A | - | N(4,1) |
B | - | N(6,2) |
C | - | U(7,11) |
D | A | T(4,6,8) |
E | A | T(1,3,8) |
F | B | U(6,10) |
G | C | N(4,1) |
H | C | N(7,2) |
I | D | U(2,4) |
J | E,F,G | T(3,5,8) |
K | E,F,G | T(1,2,5) |
L | H,K | N(5,1) |
M | I,J,L | U(2,4) |
*U(x,y): Duration of the activity has a uniform distribution between x and y
N(x,y): Duration of the activity has a normal distribution with mean x and standarddeviation y
T(x,y,z): Duration of the activity has a triangular distribution with parameters x, y
and z.
(a).Draw the network diagram for the project.
(b). For this part of the question assume that each activity has a known deterministic duration which is equal to the mean duration given in the table above. Note that mean of a uniform distribution is (x+y)/2and the mean of a triangular distribution is (x+y+z)/3. Please answer the following questions.
- Identify the critical path,
- How long will the project take?
(c). How many possible paths does this project have? Please identify them.
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