Aib Problems -Project Manangement

Problem 1

Activity Duration Predecessors
A 3 Days ---
B 4 Days ---
C 6 Days ---
D 2 Days A, B
E 1 Days C
F 3 Days D
G 3 Days E, F
H 7 Days D
I 10 Days G

a. For the above information, draw an AIB diagram.

[pic]

Slack or Float = LF – EF or LST – EST Activities on the critical path have zero slack/float.

b. What is the Scheduled Completion of the Project? 22 Days c. What is the Critical Path of the Project? B-D-F-G-I d. What is the EST for Activity D? Day 4 e. What is the LST for Activity G? Day 9 f. What is the EF for Activity B? Day 4 g. What is the LF for Activity H? Day 22 h. What is the float for Activity I? 0 Days

Problem 2
The following data were obtained from a project to build a pressure vessel:

Activity Duration Predecessors
A 4 weeks ---
B 4 weeks ---
C 3 weeks B
D 2 weeks A, C
E 3 weeks B
F 5 weeks D, E, G
G 2 weeks B
H 6 weeks F
I 3 weeks G
J 1 week I

a. Construct a network for the project.

[pic]

Slack or Float = LF – EF or LST – EST Activities on the critical path have zero slack/float.

b. Calculate the scheduled completion time and identify the critical path. Scheduled completion time = 20 weeks Critical Path = B, C, D, F, H

c. What is the slack time (float) for activities A, D, E, and G? A=3 weeks D=0 weeks E=2 weeks G=3 weeks

Problem 3
The following data were obtained from a project to design a new software package:

Activity Duration Predecessors
A 3 Days ---
B 6 Days ---
C 4 Days A
D 2 Days C, B
E 3 Days A
F 2 Days D, E, G
G 2 Days B, C
H 1 Day G

a. Construct a network for the project.

[pic]

Slack or Float = LF – EF or LST – EST Activities on the critical path have zero slack/float.

b. Calculate the scheduled completion time and identify the critical path(s). Scheduled