file "Best" optimal seating for 10 players in 3R+F

09 Jun 2015 09:57 - 11 Jun 2015 10:13 #71592 by Ankha
The current seating is:

R2: 10 1 9 8 2 | 5 6 4 3 7
R3: 4 7 10 3 1 | 9 2 5 8 6

That seating violates rule 6 ("No pair of players repeat the same relative position[*], when possible."), rule 7 ("A player doesn't play in the same seat position, if possible.") and has the following transfer distribution: 1,04 => 1, 6 have 7 transfers | 2, 4, 5, 7, 9, 10 have 8 transfers | 3, 8 have 11 transfers

On the other hand, the proposed seating is:

R2: 8 6 4 1 3 | 9 5 2 10 7
R3: 10 4 9 6 1 | 5 3 7 2 8

That seating doesn't violate rule 6 or 7, has a better transfers distribution: 0,72 => 1, 2, 3, 4, 7, 10 have 9 transfers | 5, 6 have 7 transfers | 8, 9 have 8 transfers

The thing is that the first proposition has 18 couples of players that meet once, 18 that meet twice and only 2 that meet three times.

The second proposition has 3 couples of players that meet three times (5 and 2, 9 and 10, 1 and 4, each time in a different configuration).

Which one is better?

Is it better to have some players repeating the same relative position but one less player meeting the same player through the 3 rounds?

Is it better to never repeat the same relative position, at the expense of having one more player meeting the same player through the 3 rounds (each time in a different relative position)?

As the rule were made, rule 2 is more important than the following rules. But does it balance the fact that rule 6 and 7 are violated, and that the starting transfer distribution is worse?

Prince of Paris, France
Ratings Coordinator, Rules Director
Last edit: 11 Jun 2015 10:13 by Ankha.

Please Log in or Create an account to join the conversation.

More
11 Jun 2015 10:14 #71649 by Ankha
Noone has an opinion about this?

Prince of Paris, France
Ratings Coordinator, Rules Director

Please Log in or Create an account to join the conversation.

More
11 Jun 2015 11:05 #71651 by elotar

As the rule were made, rule 2 is more important than the following rules.


:splat: NC Russia
:DEM::san::nec::cap4:

Please Log in or Create an account to join the conversation.

More
12 Jun 2015 06:58 #71678 by Ankha
Ok, we'll stick to the old seating.

Prince of Paris, France
Ratings Coordinator, Rules Director

Please Log in or Create an account to join the conversation.

More
Moderators: AnkhaKraus
Time to create page: 1.009 seconds
Powered by Kunena Forum