Sounds like a "static" schedule; which you imply by ignoring winners and losers; so any feasible schedule you generate, first time out, will do. (And "schedules" doesn't come into it).
"Before entering on an understanding, I have meditated for a long time, and have foreseen what might happen. It is not genius which reveals to me suddenly, secretly, what I have to say or to do in a circumstance unexpected by other people; it is reflection, it is meditation." - Napoleon I