I'm not sure if a Gantt chart / Gantt software is the wrong tool for my use case, or I'm unaware of some technique / terminology.
Given (1) a set of tasks, (2) time estimated to complete each task, and (3) dependencies to other tasks, I want a view that shows when each task would be completed if a single resource were allocated evenly among all tasks.
Maybe easier to imagine: "Roughly how much can be accomplished by September given a 1-person team?"
So far I've played around with Teamweek and TeamGantt (advanced trial) with no luck. These seem to require manually assigning hours or tasks per day per resource, whereas I want that assignment done automatically, rolling over incomplete tasks (e.g. unexpected sick day) automatically as well, so that I always see a forecast of completion.
Are Gantt charts the wrong tool? Or is there some technique or term I'm missing?