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Old 04-28-2019, 11:39 PM   #3
gmo
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Join Date: May 2002
Location: Longmont, CO
Posts: 3,150
I have something put together but want to wait to post it until there is confirmation it will the desired parameters. It is 2 subdvisions each with 4 divisions of 4 teams.

In the meantime some cuts from "the making of"...

The specified 189 days equals 27 weeks, which equals 54 half-weeks, except subtract one for the All-Star break. So 53 half-weeks for the 162 games. How to make the series fit that way?

Taking the 18 games per division opponent and doing all 3-game series (9 home games and 9 away games) means 6 series per opponent, and 3 opponents makes 18 division series. Taking the 6 games per league opponent and doing all 3-game series (3 home games and 3 away games) means 2 series per opponent, and 12 opponents makes 24 league series. One series per interleague opponent makes 16 interleague series. Adding those up 18+24+16=58 series.

So we have 5 more series than half-weeks into which to fit them. That is okay because we have twelve 2-game series that we can combine into pairs since 4 games fit into a half-week if the other half of the week has a 3-game (or less) series. But if we combine all 12 into 6 pairs, that takes us from 58 series to effectively 52 series, which would leave us one short.

What we can do next is re-separate one of those pairs into their individual 2-game series. We can group each of those single 2-game interleague series with cases of the paired interleague series to give us two weeks of three 2-game series. Putting those together like that means 6 games and only a single offday in such a week.

Adding it up we have 53 half-weeks covered by:
  • 18 half-weeks of division games
  • 24 half-weeks of league games
  • 4 half-weeks of 3-game interleague series
  • 5 half-weeks of paired 2-game interleague series
  • 2 half-weeks of single 2-game interleague series, which will be put adjacent to paired 2-game interleague series
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