3. The project network diagram with optimistic, pessimistic, and most likely time are given as below: Activities A, B, and C are the starting tasks, while activities I and J are the end activities of the project. Dummy activities Start and Finish with duration 0 are added in the network diagram to make the calculation of critical paths simpler (You can remove these dummy variables if you want). Following duration for each activities are provided: TIME ESTIMATES (DAYS) Activity Optimistic Most Likely Pessimistic A 5 7 8 B 6 8 12 C 3 4 5 D 11 17 25 E 8 10 12 F 3 4 5 G 4 8 9 H 5 7 9 I 8 11 17 J 4 4 4 Calculate slack and critical path. What is the probability that project completes in 47
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Since the optimistic and pessimistic estimates for project tasks are unknown, the following table assumes an optimistic estimate of 90% and a pessimistic estimate of 130% of each task’s original duration
From Figure 1, we know that the critical path is Activity 1-2-5-7-10-13-15. It is because if there is any change of time in the Activities on the critical path, the whole progress time of the project will change. Therefore, we choose to crash the activities on the critical path with the lowest crash cost in order to lower the time used with minimum additional cost. Activity 7 has the lowest crash cost within the Activities on the critical path. So, we choose to crash Activity 7 first.
Scenario 3 – All tasks delayed by 1 week: If each task is delayed by one week the entire project completion time-line will be affected. Most notably tasks C, F, and H will be affected as they have a slack value of 0. More importantly task J the final task in the project network diagram has a value of 0 and a LF of 39 which would not be met because of the delay.
3. Using the Gantt chart created for Task 6 in Part 2, and the new activities and milestones you proposed in Tasks 1 and 2 above, estimate the task durations and enter dependencies as appropriate. Remember that your schedule goal for the project is six months. Print the Gantt chart and network diagram.
1.3 Using the information below, plot out a full project Gantt chart and identify the critical path? How many days does it take to complete the project? What are the benefits of using a Gantt chart?
Formulating a network diagram, likewise alluded to as a logic diagram, in order to comprehend and envision how each task will continue is an extraordinary path to begin. It is a basic idea within project management planning that is effectively utilising as a part of application, commonly used as a part of assembling commercial enterprises, and also to outline and comprehend work processes are what service industries requires. It distinctively shows the rational rules for influencing tasks. (Holland, 2014) The development of the network diagram by incorporating the project team acquires an agreement of comprehension of how the undertaking ought to be accomplished. Nonetheless, giving a discussion to testing acknowledged
The process of resource leveling a project requires the use of various heuristics that enable the project team to prioritize those activities that receive resources first. The process helps in determining resource requirements to ensure their availability at the right time and allow the scheduling of each activity with smoothest possible transition throughout levels of resource usage. One of the heuristics of resource leveling a project is creating a project activity network diagram, which begins with a network diagram that shows the amount of resources needs as a function of time. For instance, if a project has x, y, z activities, a diagram should be drawn for each of these activities based on their required resources and time. The second heuristic is developing a resource loading table, which displays the duration, early start, late finish, slack and needed resources for each activity. In this case, the table will have five columns for each of these components for x, y and z activities.
This shows requirements to carry on to run this system efficiently. These requirements must be needed.
A critical path is a useful tool for project managers; it helps them to focus on the main activities of a project and how they all fit together effectively. Project managers can then assign resources to critical activities. These activities are the once that need extra consideration in order to make sure that everything runs effectively
With the help of this diagram critical path of the project is determined. This path tells us about the spare times in the project available for these activities thus they should be carried out very carefully to avoid delays in the project.