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UNIT-II
NW ANALYSIS
Acti
vity
Prede
cessor
Completi
on time
A - 2
B - 9
C - 4
D A 5
E D 8
F E 3
G B 4
H G,I 11
I C 5
J C 7
K J 5
A
B G
F
E
D
I
J
C
H
K
UNIT-2.pptx
 A project is represented by the network shown below and has the following data.
Determine (i) the critical path and, (ii) project completion time.
Task A B C D E F G H I
Optimistic
time (days)
4 18 26 16 15 6 8 7 3
Pessimistic
time
(days)
10 22 40 20 25 12 12 9 5
Most likely
time
(days)
7 20 33 18 20 9 10 8 4
Network modelling
 The time and cost estimates of different activities of a project and their precedence relationship
are ' given below: Overhead costs amount to Rs. 1,000 per week. It is stipulated that the contractor
will have to pay a penalty of Rs. 2,000 per week for completing the project beyond 16 weeks. i)
Show the critical path in the network Diagram.
 (ii) Find out the cost slope for every activity using normal and crash date for time and cost.
 (iii) Crash the project to 16 weeks, Estimate the total cost of crashing.
Activity Preceding
activity
Time (weeks) Cost (Rs.)
Normal Crash Normal Crash
A - 6 4 10,000 14,000
B - 4 3 5,000 8,000
C A 3 2 4,000 5,000
D B 8 3 1,000 6,000
E B 14 6 9,000 13,000
F C,D 8 4 7,000 8,000
UNIT-2.pptx

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UNIT-2.pptx

  • 2. Acti vity Prede cessor Completi on time A - 2 B - 9 C - 4 D A 5 E D 8 F E 3 G B 4 H G,I 11 I C 5 J C 7 K J 5 A B G F E D I J C H K
  • 4. A project is represented by the network shown below and has the following data. Determine (i) the critical path and, (ii) project completion time. Task A B C D E F G H I Optimistic time (days) 4 18 26 16 15 6 8 7 3 Pessimistic time (days) 10 22 40 20 25 12 12 9 5 Most likely time (days) 7 20 33 18 20 9 10 8 4
  • 5. Network modelling The time and cost estimates of different activities of a project and their precedence relationship are ' given below: Overhead costs amount to Rs. 1,000 per week. It is stipulated that the contractor will have to pay a penalty of Rs. 2,000 per week for completing the project beyond 16 weeks. i) Show the critical path in the network Diagram. (ii) Find out the cost slope for every activity using normal and crash date for time and cost. (iii) Crash the project to 16 weeks, Estimate the total cost of crashing. Activity Preceding activity Time (weeks) Cost (Rs.) Normal Crash Normal Crash A - 6 4 10,000 14,000 B - 4 3 5,000 8,000 C A 3 2 4,000 5,000 D B 8 3 1,000 6,000 E B 14 6 9,000 13,000 F C,D 8 4 7,000 8,000