I don't think Word is a good starting point for such a task:
1. you can certainly try to *display* something like this in Word, but
you start pretty much from scratch with what will end up to be a fixed
layout in a cell-like setup. (Even Excel would be easier, I guess).
2. even if you end up with a workable layout, all the *logic* one would
expect from a scheduling tool would have to be added manually (or
through code).
Maybe Project, or Outlook, would be more natural choices.