Advantages of a network diagram
The network diagram display logical relationships among the various activities that take place within a project.
It also allows the project manager to see how the various activities flow towards to completion of the project in a sequential manner.
It provides an overview as to how resources are utilized in a project for a given time period which could help the manager to perform resource leveling if necessary.
Advantage of a AoA diagram
An activity on arrow diagram uses Finish-to-Start relationship between tasks. It can be utilized when scheduling and monitoring tasks within a complex project or process of inter-related tasks and resources.
It can also be utilized to determine the Critical path of a project for a given scope.
It also provides an overview of tasks and inter-related activities.
Advantage of a Gantt Chart
Gantt charts illustrate the start and finish dates of the terminal elements and summary elements of a project.
Gantt charts have become a very common technique for representing phases and activities of a certain project, thus they are understood by a wide audience.
Gantt charts also provide an excellent presentation tool for illustrating groups of milestones and demonstrating individual resources scheduled to time.
Gantt charts can also be used in status reporting to show how much of the plan has been completed by displaying the progress of an activity by representing it in bars (These bars can be linked or unlinked as preferred to by a user)