There are a couple of different kinds of schedules you can use. The PERT chart is one and the Gantt is another. You probably will want to use both of them. The relationships between activities is clearly shown, completion times and names of persons assigned can be attached to each task. Except at the beginning and end of the chart, each task should be preceded and followed by another task.
Tasks can also branch out and travel their own paths rejoining the main path at some later point.
Any milestones such as points of review or completion can be indicated as well. This gives you an idea what a PERT chart looks like. The Gantt chart is a timeline chart. It clearly shows when each task is to begin, the time it will take to complete each task, and which tasks will be going on simultaneously. You may want to use more than one level of Gantt chart.