Answer to Question #1
Net Work Diagram for the Bicycle Route Planning
The network diagram for bicycle route planning is shown below that represents the distance between each activity and also the dependency of one activity on another as new activity cant start before the completion of predecessor.
Optimistic time
The optimistic time for each activity represents the fastest time that each activity takes in order to make the project successful. However, its only possible if all the resources for the project are available without any delay . The optimistic time for the completion of bicycle route planning project is 44 days that is the easiest time in which all activities can be performed .
Furthermore, the possibility to complete the bicycle route planning project in minimum time of 44 days is only possible if the management of the project works properly and efficiently. The chances of completing the project in optimistic time are less as it requires the strong coordination among the team members and also availability of all the resources on time without any delay .
Most likely time
Most Likely Time reflects the most probable time to complete the job. It is neither the optimistic nor the pessimistic time to complete the job. It is the time that could be reasonably expected in the normal situations. It incorporates all the even and odds related to the project.
The calculation shows that the most likely time is 70 days. This time displays the most possible time to finish the activities of bicycle route efficiently and effectively. This time is also dependent on the times of other activities any variations in the time of other activities would significantly affect the likely time 70 days. It also shows the availability and optimal allocation of resources required for the particular project. Moreover, it is implied that there is no inconsistency in the project.
The current scenario depicts that the optimal time required for the completion of the project is 70 days. It is calculated by considering the time required for the completion of individual activities separately.
Pessimistic time
The pessimistic time demonstrates the longest time to perform the activity. This time is calculated using the assumptions of the extreme and worst cases. All the possible risks and expected unfavorable outcomes are incorporated in calculating this time.
As per the calculations, the pessimistic time is 109 days. These days are dependent on the respective times of individual activities. Any change in time of other activities would only decrease the overall time as this time reflects the longest possible time.
Answer to Question #3
Mean and variance on the basis of Individual Time
| Optimistic time | Most likely time | Pessimistic time | |
| Mean | 2.29 | 3.69 | 5.75 |
| Variance | 15.26 | 31.98 | 97.05 |
| Std. | 7.63 | 15.99 | 48.53 |
The above table shows the calculation of mean and variance on the basis of Optimistic time, most likely time and Pessimistic time. This shows the average time in order to complete the all activities in the bicycle route planning project as well as the variability from the average time . The Optimistic time has the mean of 2.29 days , most likely time has the mean of 3.69 days whereas, Pessimistic time has the mean of 5.75 days .
Mean and variance on the basis of Triple Time Estimator
Given below is the average time and variance of each activity from a to s on the basis of triple time estimator.
| Triple Time Estimator | ||||
| Activity | Time | Mean | Std. | Variance |
| A | 5.8 | 1.9 | 0.37 | 0.13 |
| B | 69 | 23.0 | 5.17 | 26.69 |
| C | 44 | 14.7 | 1.83 | 3.36 |
| D | 4 | 1.3 | 0.17 | 0.03 |
| E | 2 | 0.7 | 0.17 | 0.03 |
| F | 16 | 5.3 | 0.50 | 0.25 |
| G | 20 | 6.7 | 0.50 | 0.25 |
| H | 34 | 11.3 | 1.17 | 1.36 |
| I | 4 | 1.3 | 0.17 | 0.03 |
| J | 3.8 | 1.3 | 0.20 | 0.04 |
| K | 2.7 | 0.9 | 0.05 | 0.00 |
| L | 6 | 2.0 | 0.17 | 0.03 |
| M | 1.9 | 0.6 | 0.10 | 0.01 |
| N | 0.3 | 0.1 | 0.00 | 0.00 |
| O | 2 | 0.7 | 0.08 | 0.01 |
| P | 0.3 | 0.1 | 0.00 | 0.00 |
| Q | 4 | 1.3 | 0.17 | 0.03 |
| R | 2 | 0.7 | 0.08 | 0.01 |
| S | 1.2 | 0.4 | 0.05 | 0.00 |
Paths in the Network and their Mean Length
The given below is the table that shows all the possible paths in the network and their mean length . There are nine possible path in the network based on different activities ...................
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