Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: jrluecht on May 28, 2014, 11:34:03 AM

Title: Another Field Day
Post by: jrluecht on May 28, 2014, 11:34:03 AM

We have 24 teams (a-x) competing in 8 different activities over 8 time periods.  The difficulty is that there are 3 teams per activity. I'm trying to get some rotation through the activities so the same teams aren't playing each other all day.  Any help/solutions would be appreciated.
                Activity 1     Activity 2     Activity 3     Activity 4     Activity 5     Activity 6     Activity 7     Activity 8
Time 1       a,b,c           d,e,f            g,h,i            j,k,l             m,n,o          p,q,r           s,t,u             v,w,x
Time 2
Time 3
Time 4
Time 5
Time 6
Time 7
Time 8
                                                                                                                                    

Title: Re: Another Field Day
Post by: Ian Wakeling on May 29, 2014, 02:26:44 AM

Look on Ed Pegg's web page (http://www.mathpuzzle.com/MAA/54-Golf%20Tournaments/mathgames_08_14_07.html) for "Can 24 golfers play in threesomes for 11 days?".  If you take day0 to day7, it should be exactly what you want.

For anyone else interested the full 11 rounds of threesomes can be found here.

Ian.

Title: Re: Another Field Day
Post by: jrluecht on May 29, 2014, 07:59:20 AM

Many thanks.

Title: Re: Another Field Day
Post by: jrluecht on May 29, 2014, 08:44:11 AM

After closer look, this won't work. If you look at columns 3,4,7 and 8. Teams are repeated going down the column.  Thus, these teams would participate in the same activity all day.  Each team needs to participate in each activity only once. I tried varying the order of the columns to no avail.

Title: Re: Another Field Day
Post by: Ian Wakeling on May 29, 2014, 01:56:44 PM

Apologies, I misread your original posting.

How about this schedule?

AIQ      BJR      CKS      DLT      EMU      FNV      GOW      HPX
BKT      ALS      DIR      CJQ      FOX      EPW      HMV      GNU
CMW      DNX      AOU      BPV      GIS      HJT      EKQ      FLR
DOV      CPU      BMX      ANW      HKR      GLQ      FIT      EJS
ENR      FMQ      GPT      HOS      AJV      BIU      CLX      DKW
FPS      EOT      HNQ      GMR      BLW      AKX      DJU      CIV
GJX      HIW      ELV      FKU      CNT      DMS      APR      BOQ
HLU      GKV      FJW      EIX      DPQ      COR      BNS      AMT

note that each group of three teams has one member from A to H, one form I to P, and one from Q to X.

Title: Re: Another Field Day
Post by: jrluecht on May 30, 2014, 08:30:32 AM

It works out perfectly. Thanks again.