Hi, need some help.
The problem/ scenario goes like this:
I have been given the task to create a fair and reasonable roster for a tennis team.
This tennis competition is a doubles-only competition. that is, no singles matches played .
Typically teams are compromised of 4 or more players. In this scenario, there are 6 players on "my" team, who would like to play equal number of sets and play with as many different teammates as possible/equitable.
This is how it works, Its simple for a 4-player team system:
Each match has 3-rounds of sets (using a 4 player system only here (1-4)):
Rd1: Our 1 & 2 v Their 1 & 2
Our 3 & 4 v Their 3 & 4
Rd2: Our 1 & 3 v Their 1 & 3
Our 2 & 4 v Their 2 & 4
Rd3: Our 1 & 4 v Their 1 & 4
Our 2 & 3 v Their 2 & 3
So 6 sets are played and a team winner determined.
Here is the difficulty (for me)
Rd1 games are played to first to 9 games (e.g. Team A beats Team B 9-6 (in games). Rd2 & Rd3 are played to 6 (radiational ending). So there is greater importance on the Rd 1 matches
As stated previously, you can have more than 4 players in your team, obviously they all can't play at the same time as only 4 players can play at any one time. But it is possible to sub player(s) in (and out) before any rotation of games. E.g., Player 5 could come in for player 4 in rotation Rd2 so it would be Our 2 & 5 v Their 1 & 4. So with 6 players the same substitution apply.
However, players have to be ranked or have a pre-designation from 1-6 before the start of the season. If player 2 is subbed out, 3 moves into the '2 spot', 4 to the 3 etc. Furthermore, if Players 1 and 3 sit out the first round, when they substitute in for the second round for 2 other players. Player 1 must play in the "1" spot and player "3" must fill the 2 or 3 spot only (if number 2 is subbed out). In other words, a player cannot play higher than their designation.
I need help developing a team roster which would allow this occur. Its a 12 round competition and 6 players are assumed to be available.
Need help, don't know where to start. Happy to provide any clarity
Sim
The problem/ scenario goes like this:
I have been given the task to create a fair and reasonable roster for a tennis team.
This tennis competition is a doubles-only competition. that is, no singles matches played .
Typically teams are compromised of 4 or more players. In this scenario, there are 6 players on "my" team, who would like to play equal number of sets and play with as many different teammates as possible/equitable.
This is how it works, Its simple for a 4-player team system:
Each match has 3-rounds of sets (using a 4 player system only here (1-4)):
Rd1: Our 1 & 2 v Their 1 & 2
Our 3 & 4 v Their 3 & 4
Rd2: Our 1 & 3 v Their 1 & 3
Our 2 & 4 v Their 2 & 4
Rd3: Our 1 & 4 v Their 1 & 4
Our 2 & 3 v Their 2 & 3
So 6 sets are played and a team winner determined.
Here is the difficulty (for me)
Rd1 games are played to first to 9 games (e.g. Team A beats Team B 9-6 (in games). Rd2 & Rd3 are played to 6 (radiational ending). So there is greater importance on the Rd 1 matches
As stated previously, you can have more than 4 players in your team, obviously they all can't play at the same time as only 4 players can play at any one time. But it is possible to sub player(s) in (and out) before any rotation of games. E.g., Player 5 could come in for player 4 in rotation Rd2 so it would be Our 2 & 5 v Their 1 & 4. So with 6 players the same substitution apply.
However, players have to be ranked or have a pre-designation from 1-6 before the start of the season. If player 2 is subbed out, 3 moves into the '2 spot', 4 to the 3 etc. Furthermore, if Players 1 and 3 sit out the first round, when they substitute in for the second round for 2 other players. Player 1 must play in the "1" spot and player "3" must fill the 2 or 3 spot only (if number 2 is subbed out). In other words, a player cannot play higher than their designation.
I need help developing a team roster which would allow this occur. Its a 12 round competition and 6 players are assumed to be available.
Need help, don't know where to start. Happy to provide any clarity
Sim