Question 1
Network Diagram of Bicycle Route Planning:
The network diagram of bicycle route planning indicates the time required by individual activity. The critical path is selected on the basis of these times. The network diagram is shown below:
The network diagram shows the longest overall duration of the project. It is the shortest possible time to complete the project. Any delay in any activity’s time will only delay the project. The Network diagram is prepared by using Project Management software.
Question 2
Optimistic Time
Optimistic time shows the fastest and shortest possible time to complete the activity.It is based on the assumption that all the resources are available to complete the activity. It implies a positive assumption i.e. all the odds are in our favour.
In the current scenario, the optimistic time to complete the activity is nearly 33 days. These 33 days are calculated on the basis of the individual times of each activity. These times are the shortest possible times to complete the bicycle route activities. Any increase in the individual times will eventually increase the days from 33 days. Since optimistic shows the minimum possible time, therefore, the only chances are that the activity time can be increased.
Most Likely Time
Most Likely Time is the most probable time to complete the job. It is neither the shortest nor the longest time to complete the job. It is the time which is mentioned by managers when asked for an estimated time by the management. It incorporates any possible future hurdle.
In this case, the most likely time is 53 days. This time shows the mode time i.e. the most probable time to complete the activities of bicycle route. This time can be increased or decreased if the time of any individual activity is changed respectively. Any change will ultimately affect the overall time of 53 days.
Pessimistic Time
The pessimistic time is the longest possible to complete the activity. It incorporates and considers all the possible hurdles that the project may in future. These times are based on the worst possibility incorporating every possible hurdle that the company may face.
The pessimistic time in this case is almost 85 days. These days are based on the individual activity times. Any change in the individual time will only affect the overall time. Since the pessimistic time shows the longest time to complete an activity, therefore there are chances that any change in time will only decrease the time.
Question 3
Mean and Variances of Each Activity Time
The mean and variance of each activity time (Triple Time Estimator) from A to S is given below:
Activities |
Average time |
Standard Deviation |
Variance |
A |
1.97 |
0.37 |
0.13 |
B |
21.5 |
5.17 |
26.69 |
C |
14.83 |
1.83 |
3.36 |
D |
1.17 |
0.17 |
0.03 |
E |
0.83 |
0.17 |
0.03 |
F |
5.17 |
0.5 |
0.25 |
G |
6.83 |
0.5 |
0.25 |
H |
11.17 |
1.17 |
1.36 |
I |
1.17 |
0.17 |
0.03 |
J |
1.13 |
0.2 |
0.04 |
K |
0.95 |
0.05 |
0 |
L |
2 |
0.17 |
0.03 |
M |
0.57 |
0.1 |
0.01 |
N |
0.1 |
0 |
0 |
O |
0.58 |
0.08 |
0.01 |
P |
0.1 |
0 |
0 |
Q |
1.17 |
0.17 |
0.03 |
R |
0.58 |
0.08 |
0.01 |
S |
0.45 |
0.05 |
0 |
Paths in the Network
Following are the paths in the Network and their means:
S.NO |
Number of paths |
Total Time |
Average |
1 |
A-C-D-E-F-G-H-I-L-N-O-Q-R-S |
48 |
3.75 |
2 |
A-C-D-E-F-G-H-J-M-P-Q-R-S |
44 |
3.38 |
3 |
A-B-D-E-F-G-H-K-L-M-P-Q-R-S |
54 |
3.89 |
4 |
A-B-D-E-F-G-H-K-L-N-O-Q-R-S |
54 |
3.89 |
5 |
A-B-D-E-F-G-H-I-L-N-Q-R-S |
55 |
3.91 |
Multiple Sclerosis Society Of Canada-London-Grand Bend Bicycle Tour Case Solution
Critical Path
Critical Path is the longest path covering all the activities. It shows the shortest time to complete the activity as a whole. The critical path covers all the time required by individual activities. It incorporates the individual time of activities based on the average time from optimistic, most likely and pessimistic time to calculate the shortest possible time to complete the activity. Critical path is the most suitable time to complete the project as it is calculated while considering the individual completion time of all the activities and their predecessor activities as well.
As shown in the graph, the critical path is denoted by a red line. The critical path is of almost 55 days for bicycle route planning. This path covers not only all the aspects of the sequence of the activities but also incorporates the requirements of the predecessor activities to provide a suitable path for completion of project........................
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