3 Determine the critical path and critical of the network sh

(3) Determine the critical path and critical of the network shown below. Use the critical time path method (the table of ES, EF, etc.). 6 (4) Use the critical path method to determine the critical path and critical time of the network shown below:

Solution

From the network diagram, writing the tabular form, we have:

Activity

Time

Early start

Early finish

Latest Start

Latest Finish

Slack

1-2

12

0

12

0

12

0

2-3

8

12

20

14

22

2

2-4

4

12

16

12

16

0

2-5

3

12

15

26

29

14

3-6

12

20

32

22

34

2

4-5

5

16

21

24

29

8

4-6

18

16

34

16

34

0

5-7

9

21

30

29

38

9

6-7

4

34

38

34

38

0

7-8

6

38

44

38

44

0

From the table we can see that,

The critical activities (i.e. the activities having zero slack) are 1-2, 2-4, 4-6, 6-7, 7-8.

Critical path is the one having formed by critical activities i.e. 1-2-4-6-7-8.

Critical time is the time taken by the critical path i.e. 44 Minutes.

Activity	Time	Early start	Early finish	Latest Start	Latest Finish	Slack
1-2	12	0	12	0	12	0
2-3	8	12	20	14	22	2
2-4	4	12	16	12	16	0
2-5	3	12	15	26	29	14
3-6	12	20	32	22	34	2
4-5	5	16	21	24	29	8
4-6	18	16	34	16	34	0
5-7	9	21	30	29	38	9
6-7	4	34	38	34	38	0
7-8	6	38	44	38	44	0