(01-30-2020 02:18 AM)Crayton Wrote: A 16-year conceptual schedule? A traditional 4-year cycle would be a lot simpler than overlapping 8- and 12-year cycles. Both have "conflicts" and replacement games because of BGU-TOL, but it'd at least be simpler.
The best option is to use a 3-year cycle.
Toledo and Bowling Green (and Ball State and Miami? sure) can play each other every year, a select other team 2 out of the 3 years and everyone else once. The remaining teams will play 3 cross-division foes twice in the 3-year cycle and 3 once.
Easy.
Note that this is a three year slice out of a 12 year cycle.
This divides each division into three groups of two: Group A: have a locked cross-division game. Group B: plays a cross division Group A member twice per three year cycle. Group C: plays both cross division Group A members once per three year cycle.
So Group B has 9 cross division games, 3 against Group A cross division are set (2 and 1), so 6 to fill from four schools. Set them to play each school at least once, two more to fill. They each play the two Group C schools twice, they are set. 1/3 to one Group A and both Group B, 2/3 to the other Group A and both Group C.
Group C has 9 cross division games, 2 against the Group A schools, 2 against each Group C cross division, so two to fill from two schools, so they play one of the other Group C schools once and the other one twice.
At the end of three years, swap out Groups B and C, at the end of another three years swap them back, but pair them the opposite way from round 1, at the end of three years swap them back, paired the opposite way from round 2, there's your 12 year rotation that the four year schedule is plucked from.
You don't have to keep it going, you could do it Big Ten style and re-arrange everything based on SOS every three years, or every six ... that just means you are scrambling which specific twelve year rotation you are taking a slice out of. But staying with the rotation makes it more straightforward to work out how the home/away cycles "fairly".