Redmine doesn’t (at least without a plugin, at least as far as I saw):

 - Seem to be the right place to develop a schedule (major).  For example, I don’t see how to allow for holidays in the Gantt. 
 - Handle task dependency easily.  I haven’t tried to do that at all (ease of use).
 - Report days or person-days behind/ahead of schedule (major).
 - Produce man-loading charts.
 - Show historical data, e.g. are we catching up or not,  a burndown chart (major).