# Aib Problems -Project Manangement

Topics: Critical path method, Activity, Following Pages: 4 (562 words) Published: February 6, 2011
Problem 1

ActivityDurationPredecessors
A3 Days---
B4 Days---
C6 Days---
D2 DaysA, B
E1 DaysC
F3 DaysD
G3 DaysE, F
H7 DaysD
I10 DaysG

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:

ActivityDurationPredecessors
A4 weeks---
B4 weeks---
C3 weeksB
D2 weeksA, C
E3 weeksB
F5 weeksD, E, G
G2 weeksB
H6 weeksF
I3 weeksG
J1 weekI

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:

ActivityDurationPredecessors
A3 Days---
B6 Days---
C4 DaysA
D2 DaysC, B
E3 DaysA
F2 DaysD, E, G
G2 DaysB, C
H1 DayG

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...