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Old 04-30-2019, 10:11 PM   #1
afancy
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20 Teams, 2 SL, 2D of 5 in each, 26 games

Ok, I continue to fail to successfully create a schedule and am hopeful someone can help.

I am looking for a 20 team schedule, 2 SL with 2 divisions of 5 teams each. Each team plays 1 game per week on Saturdays (any time). The schedule takes place over 26 weeks.

Each team plays the other teams in its division 2H and 2A (16 games) and then plays the teams in the other division in its SL for 1H and 1A (10 more games for 26 games total).

No interleague games and no all star game.

Can anyone help?

Last edited by afancy; 04-30-2019 at 11:07 PM.
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Old 05-04-2019, 07:56 PM   #2
gmo
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Since the two subleagues do not interact, we can view this as a 10-team schedule for 2 divisions each of 5 teams. Then copy it to make it cover both subleagues.

First things, we can go ahead and make the interdivision matchups. We will start with the corresponding teams being against each other (i.e., 1v6, 2v7, etc), flip the home/away, then rotate the second division teams around until all the matchups are made.

Code:
Interdivision matchups
 1  6     2  7     3  8     4  9     5 10
 6  1     7  2     8  3     9  4    10  5
 1  7     2  8     3  9     4 10     5  6
 7  1     8  2     9  3    10  4     6  5
 1  8     2  9     3 10     4  6     5  7
 8  1     9  2    10  3     6  4     7  5
 1  9     2 10     3  6     4  7     5  8
 9  1    10  2     6  3     7  4     8  5
 1 10     2  6     3  7     4  8     5  9
10  1     6  2     7  3     8  4     9  5
Now we make the division games for the the first division. With the odd number of teams per division, there is a team left out of the matchups in each case. See https://makingbaseballschedules.blog...od-part-4.html for info about a method for making these matchups.

Code:
Div Matchups   Left out
3  2    4  1     5
3  2    4  1     5
2  3    1  4     5
2  3    1  4     5
2  1    3  5     4
2  1    3  5     4
1  2    5  3     4
1  2    5  3     4
1  5    2  4     3
1  5    2  4     3
5  1    4  2     3
5  1    4  2     3
5  4    1  3     2
5  4    1  3     2
4  5    3  1     2
4  5    3  1     2
4  3    5  2     1
4  3    5  2     1
3  4    2  5     1
3  4    2  5     1
I took special care to make sure the results have team 5 left out in the top batch, then 4, then 3, then 2, then 1. That matters later.

Now we can make the matchups within the other division simply by copying those from the first. We just add 5 to the team numbers. The left out teams from the divisions will be in the middle between the division matchups.

Code:
Div Matchups    Left out   Div Matchups
3  2    4  1     5   10    8  7    9  6
3  2    4  1     5   10    8  7    9  6
2  3    1  4     5   10    7  8    6  9
2  3    1  4     5   10    7  8    6  9
2  1    3  5     4    9    7  6    8 10
2  1    3  5     4    9    7  6    8 10
1  2    5  3     4    9    6  7   10  8
1  2    5  3     4    9    6  7   10  8
1  5    2  4     3    8    6 10    7  9
1  5    2  4     3    8    6 10    7  9
5  1    4  2     3    8   10  6    9  7
5  1    4  2     3    8   10  6    9  7
5  4    1  3     2    7   10  9    6  8
5  4    1  3     2    7   10  9    6  8
4  5    3  1     2    7    9 10    8  6
4  5    3  1     2    7    9 10    8  6
4  3    5  2     1    6    9  8   10  7
4  3    5  2     1    6    9  8   10  7
3  4    2  5     1    6    8  9    7 10
3  4    2  5     1    6    8  9    7 10
The problem with this is that we do not have enough interdivision matchups of each type for that configuration of the division matchups. We always have the corresponding teams from the divisions left out (again, 1v6, 2v7, etc), and there are only 2 of each of those matchups when the configuration demands 4.

What we can do is simply offset the second division matchups to change the alignment. We take the top two rows from those columns and move them to the bottom. By offsetting by two rows, we maintain the need for the 2 corresponding team matchups, but we replace the other 2 with different interdivision matchups.

Code:
Div Matchups    Left out   Div Matchups
3  2    4  1     5   10    7  8    6  9
3  2    4  1     5   10    7  8    6  9
2  3    1  4     5    9    7  6    8 10
2  3    1  4     5    9    7  6    8 10
2  1    3  5     4    9    6  7   10  8
2  1    3  5     4    9    6  7   10  8
1  2    5  3     4    8    6 10    7  9
1  2    5  3     4    8    6 10    7  9
1  5    2  4     3    8   10  6    9  7
1  5    2  4     3    8   10  6    9  7
5  1    4  2     3    7   10  9    6  8
5  1    4  2     3    7   10  9    6  8
5  4    1  3     2    7    9 10    8  6
5  4    1  3     2    7    9 10    8  6
4  5    3  1     2    6    9  8   10  7
4  5    3  1     2    6    9  8   10  7
4  3    5  2     1    6    8  9    7 10
4  3    5  2     1    6    8  9    7 10
3  4    2  5     1   10    8  7    9  6
3  4    2  5     1   10    8  7    9  6
That the teams left out were specifically ordered at the start means that now that we are moving things, those other interdivision matchups we can use with the division games all come from the same rows. The left out need to half be flipped to match the home/away configuration in the interdivision setup, but they are there. Those left out use the top 2 and bottom 2 rows in the interdivision setup built at top.

So we have set all the division matchups, filling in interdivision matchups as needed. The remaining interdivision matchups are complete in that they involve all the teams represented at all times. Then the set of all rows can be juggled into a schedule... Things like scatter the all-interdivision rows, take care to try to avoid repeating the same matchups or the same teams having consecutive interdivision matchups within the otherwise division rows, and flip-flop some matchups to avoid having teams play very many consecutive games home or away.
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Last edited by gmo; 05-04-2019 at 10:14 PM. Reason: Fix missing code tag
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afancy (05-04-2019)
Old 05-04-2019, 07:57 PM   #3
gmo
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Code:
#
# 20 team schedule, 26 games
# Designed for the following configuration:
# 2 subleague, each with 2 divisions of 5 teams
#
#
# 4 games against 4 other teams in division (2H/2A)
# 2 games against 5 teams in other division (1H/1A)
# no interleague games
#
#
# All teams play one game per week on Saturday
#
# Teams play no more than 3 games in row home or away
#
# All game times set at 7:05pm
#
# Season begins first Saturday of April
# Season ends late September
# Season spans 176 days
#
# No All-Star Game
#
# Built 2019-05-04
#
Attached Files
File Type: lsdl 20team26_225un_a_gmo.lsdl (13.7 KB, 6 views)
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afancy (05-04-2019)
Old 05-04-2019, 08:17 PM   #4
afancy
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Wow, thank you so much! The explanation is fantastic.I'm going to try to make a few others following along. Thank you!!
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