In: Operations Management
A project is represented by the activity duration (in days, estimated at 90% likelihood of completion) and precedence requirements shown in the table. How many feeder buffers are needed if this project is managed using critical chain methodology?
Activity | Predecessor | Length | Activity | Predecessor | Length |
A | -- | 18 | E | C, D | 13 |
B | -- | 16 | F | C | 9 |
C | A | 22 | G | E, F | 15 |
D | B | 14 | | | |
Options:
0
1
2
3
The activity table is:
Activity |
Predecessor |
Length |
A |
--- |
18 |
B |
--- |
16 |
C |
A |
22 |
D |
B |
14 |
E |
C, D |
13 |
F |
C |
9 |
G |
E, F |
15 |
The precedence diagram is:
The critical path is the path with the longest total task length.
Length of each path is:
A -> C -> F -> G: 64
A -> C -> E -> G: 68
B -> D -> E -> G: 58
Hence, the critical path is A -> C -> E -> G
Feeding buffer (or feeder buffers) are used in the non-critical paths so that any delay in the non-critical path wont delay the critical path.
Here the critical path is A->C->E->G
This path depends on B->D->E->G non-critical path so as to start E on time.
This path depends on A->C->F->G non-critical path so as to start G on time.
As the likelihood of completion is 90%, hence 90% of the total task time should be performed. 90% of total task time is = 0.9*107 = 96.3
Hence till the starting of task G, it should be completed.
Hence, the number of feeder buffers used = 2.
Answer is: 2
.
IF YOU HAVE ANY DOUBT, KINDLY COMMENT. I WOULD LOVE TO HELP YOU!!!
IF YOU LIKE THE ANSWER, PLEASE GIVE AN UP-VOTE OR THUMB UP. THIS WILL ENCOURAGE ME TO ANSWER MORE!!