Round robin for 18 people

[Chrish]

Hi  - I am setting up a charity event entitled Battle of the Balls.   We have 1 pickleball court, 2 ping pong courts, and 1 foosball table.   Goal is to have each person play on each court 2 times.  I would like to have this happen so that people play with a different partner each time.   So each person plays pickleball twice, ping pong four times, and foosball twice.  

Help!??!

[Ian Wakeling]

I think the schedule below should work for your event.  All the partners are different as you asked.  Ideally it would also be possible for everyone to have 16 different opponents, however I can not get both properties at the same time.  The schedule below gives everyone 15 different opponents, the repeated opposition pairs being (1 v 10), (2 v 11), ...., (9 v 18).  Hope that helps.

 Pickleball     Ping Pong 1    Ping Pong 2     Football      Bye
(17 5 v 11 1)  (16 9 v 14 3)  (6 10 v 7 15)  (2 4 v 12 13)  (18 8)
(18 6 v 12 2)  (17 1 v 15 4)  (7 11 v 8 16)  (3 5 v 13 14)  (10 9)
(10 7 v 13 3)  (18 2 v 16 5)  (8 12 v 9 17)  (4 6 v 14 15)  (11 1)
(11 8 v 14 4)  (10 3 v 17 6)  (9 13 v 1 18)  (5 7 v 15 16)  (12 2)
(12 9 v 15 5)  (11 4 v 18 7)  (1 14 v 2 10)  (6 8 v 16 17)  (13 3)
(13 1 v 16 6)  (12 5 v 10 8)  (2 15 v 3 11)  (7 9 v 17 18)  (14 4)
(14 2 v 17 7)  (13 6 v 11 9)  (3 16 v 4 12)  (8 1 v 18 10)  (15 5)
(15 3 v 18 8)  (14 7 v 12 1)  (4 17 v 5 13)  (9 2 v 10 11)  (16 6)
(16 4 v 10 9)  (15 8 v 13 2)  (5 18 v 6 14)  (1 3 v 11 12)  (17 7)

[Chrish]

This is terrific - my head was starting to hurt - you made it easy.   Many thanks!

[Ian Wakeling]

The schedule below is a second possibility.  All the opponents are different and all the partners, but it has the two groups of 9 structure where partners always come from the other group.  Useful if you can place people into two different ability groups.

(A4 B1 v A6 B7) (A9 B6 v A2 B4) (A5 B9 v A3 B2) (A7 B3 v A1 B5)
(A5 B8 v A9 B1) (A3 B9 v A4 B5) (A2 B3 v A6 B4) (A1 B6 v A8 B2)
(A9 B4 v A7 B2) (A1 B7 v A6 B9) (A3 B1 v A8 B6) (A2 B8 v A4 B3)
(A8 B3 v A4 B9) (A5 B4 v A1 B8) (A7 B5 v A2 B1) (A9 B2 v A3 B7)
(A7 B6 v A5 B3) (A2 B5 v A8 B7) (A1 B2 v A4 B8) (A3 B4 v A6 B1)
(A3 B5 v A1 B4) (A8 B1 v A9 B3) (A6 B8 v A7 B9) (A4 B7 v A5 B6)
(A1 B9 v A2 B6) (A4 B2 v A7 B1) (A8 B4 v A5 B7) (A6 B5 v A9 B8)
(A2 B7 v A3 B8) (A6 B3 v A5 B2) (A4 B6 v A9 B5) (A8 B9 v A7 B4)
(A6 B2 v A8 B5) (A7 B8 v A3 B6) (A9 B7 v A1 B3) (A5 B1 v A2 B9)

Also it is possible to switch the games around if you want to have group A vs group B.

(A4 A6 v B7 B1) (A9 A2 v B4 B6) (A5 A3 v B2 B9) (A7 A1 v B5 B3)
(A5 A9 v B1 B8) (A3 A4 v B5 B9) (A2 A6 v B4 B3) (A1 A8 v B2 B6)
(A9 A7 v B2 B4) (A1 A6 v B9 B7) (A3 A8 v B6 B1) (A2 A4 v B3 B8)
(A8 A4 v B9 B3) (A5 A1 v B8 B4) (A7 A2 v B1 B5) (A9 A3 v B7 B2)
(A7 A5 v B3 B6) (A2 A8 v B7 B5) (A1 A4 v B8 B2) (A3 A6 v B1 B4)
(A3 A1 v B4 B5) (A8 A9 v B3 B1) (A6 A7 v B9 B8) (A4 A5 v B6 B7)
(A1 A2 v B6 B9) (A4 A7 v B1 B2) (A8 A5 v B7 B4) (A6 A9 v B8 B5)
(A2 A3 v B8 B7) (A6 A5 v B2 B3) (A4 A9 v B5 B6) (A8 A7 v B4 B9)
(A6 A8 v B5 B2) (A7 A3 v B6 B8) (A9 A1 v B3 B7) (A5 A2 v B9 B1)

[SpinDoctorGordon]

I am absolutely new to this.

I'm having tremendous problems simply posting a message.

Anyway, I need to create 5 round robin schedules relating to a Singles Tennis Tournament where 4 courts only are available for each Round.

The Schedules I need to create relate to 8, 9, 10, 11 and 12 participating players.

The thing to stress is that I have access to 4 courts ONLY, so, for example a Schedule for 10 players showing 5 Courts is no good for my purposes.  

If anybody can help with this, I would be most grateful.

Regards,

SpinDoctorGordon

[Ian Wakeling]

If you follow the schedules link near the top of this page, then you can obtain the standard round robin for 8 players on 4 courts, and also the 10 player round robin which can be reduced to a 9 player schedule on 4 courts (see the note at the bottom).   For 10, 11 or 12 players, see the schedules below.

10 players (A to J)

(---) (B J) (A H) (D E)
(C F) (---) (E G) (I J)
(A E) (D H) (---) (B C)
(D G) (F I) (C H) (A J)
(B F) (A G) (C I) (E H)
(C J) (D I) (E F) (B H)
(D F) (E J) (A B) (G I)
(A I) (F H) (D J) (C G)
(H J) (C E) (B I) (F G)
(G J) (A C) (B D) (E I)
(H I) (B G) (F J) (A D)
(B E) (C D) (G H) (A F)

11 players (A to K)

(---) (C J) (E I) (B G)
(D E) (F I) (B H) (A K)
(G I) (C H) (D K) (B J)
(E K) (A J) (C F) (D H)
(B D) (F G) (C I) (E J)
(F J) (H K) (A D) (C G)
(I J) (A B) (G K) (E F)
(F H) (D J) (B C) (I K)
(A G) (B K) (E H) (C D)
(H J) (C E) (A I) (F K)
(A C) (G H) (B F) (D I)
(D G) (B I) (J K) (A E)
(C K) (E G) (A F) (H I)
(B E) (D F) (G J) (A H)

12 players (A to L)

(---) (J K) (A C) (B H)
(E G) (---) (F L) (D I)
(C J) (A B) (H L) (D K)
(E H) (F I) (B K) (C G)
(J L) (A E) (G K) (D H)
(I K) (C H) (B J) (A F)
(H I) (K L) (D E) (B G)
(B F) (C I) (E J) (A G)
(D L) (F H) (C K) (E I)
(A D) (G J) (E F) (B L)
(B E) (H K) (C D) (I J)
(H J) (C F) (D G) (A L)
(D F) (G L) (B I) (E K)
(B C) (A I) (G H) (F J)
(A K) (D J) (I L) (C E)
(F G) (B D) (A H) (C L)
(G I) (E L) (A J) (F K)

[SpinDoctorGordon]

Hi Ian,

I am overwhelmed by your helpfulness, given that, of course, I ought, even as a novice, to have been able to access some of the Schedules directly.

You've given me everything I need in the short term, and for this I am most grateful.

For information, should I be able to assemble ALL of the Schedules I requested by myself, given greater familiarity with the Website, or is that likely to be a bridge too far for a struggling 66 year old?

Anyway, many thanks for astonishingly quick response,

Best Regards,

SpinDoctorGordon