Round Robin Tournament Scheduling

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kimbaby57

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on: September 08, 2017, 08:58:52 PM
Hi, can anyone help with an 18 team round robin on 4 sheets of ice?

I need to figure out where the byes fall, and also how many weeks I need to complete the round robin.  We are considering play offs but don't k ow if there will be time to do so...  we can schedule two draws per night.... Thank you!

Kim
« Last Edit: September 08, 2017, 09:00:01 PM by kimbaby57 »


Ian Wakeling

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Reply #1 on: September 09, 2017, 07:36:53 AM
Hi Kim,

You will need 19 weeks with two draws per night to complete all but one of the draws.   I have put a possible schedule below where the 18 teams are represented by the letters A to R:

(K R) (A M) (G Q) (C H)
(E P) (B O) (D N) (F I)
------------------------
(M N) (C F) (E R) (A L)
(B H) (I K) (J Q) (D G)
------------------------
(A I) (L O) (B E) (G R)
(D P) (F Q) (J N) (H K)
------------------------
(H I) (K P) (M Q) (G L)
(F J) (A O) (D R) (C N)
------------------------
(E G) (A R) (O P) (D Q)
(J L) (H M) (C I) (K N)
------------------------
(B F) (J K) (I M) (D O)
(L R) (A P) (H N) (E Q)
------------------------
(F R) (I N) (G P) (E M)
(B Q) (C J) (K L) (A H)
------------------------
(I P) (J M) (D F) (G O)
(E N) (L Q) (C K) (B R)
------------------------
(C P) (F G) (B L) (A N)
(E K) (I O) (D M) (J R)
------------------------
(N O) (H R) (F M) (I Q)
(G K) (E L) (A J) (B P)
------------------------
(D I) (G N) (A B) (J P)
(M R) (E H) (F L) (C O)
------------------------
(A Q) (C R) (N P) (D L)
(K O) (B M) (F H) (E I)
------------------------
(J O) (E F) (C L) (B I)
(D H) (N Q) (A G) (K M)
------------------------
(L N) (D E) (B K) (H J)
(G I) (O Q) (C M) (F P)
------------------------
(G M) (L P) (H O) (F K)
(A C) (B D) (I J) (Q R)
------------------------
(B J) (D K) (H Q) (A E)
(F O) (C G) (P R) (L M)
------------------------
(C Q) (B N) (O R) (E J)
(M P) (I L) (G H) (A F)
------------------------
(K Q) (H P) (I R) (B C)
(A D) (G J) (E O) (F N)
------------------------
(H L) (D J) (A K) (M O)
(B G) (N R) (C E) (P Q)


The missing draw is (C D) which could usefully by played on some other day during week 10 when these are the two teams with byes.  There is some balance to the schedule, with teams 4 or 5 times on each sheet and 8 or 9 times in the early and late slots.

Ian


kimbaby57

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Reply #2 on: September 10, 2017, 08:17:12 PM
thank you again!