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We'd love to hear how you use our allocations. Please email us at alice.miller AT glasgow.ac.uk and let us know!
This tool is based on "Breakout Group Allocation Schedules and the Social Golfer Problem with Adjacent Group Sizes", by Alice Miller, Matthew Barr, William Kavanagh, Ivaylo Valkov and Helen C. Purchase. Published in the Symmetry Journal, December 2020. Please cite us if you use this tool.
The constructions used in this paper are also the subject of the following paper: “Combinatorial solutions to the Social Golfer Problem and Social Golfer Problem with Adjacent Group Sizes”, by Alice Miller, Ivaylo Valkov and R. Julian R. Abel. Published in the Symmetry Journal, January 2026.
This page will produce an allocation schedule that will allow you to specify group membership for students or participants when creating Zoom breakout rooms or other types of groups.
Each generated allocation schedule comprises a set of 'rounds', where each round is a set of participant groups. The primary constraint for an allocation schedule is that no two participants will be paired with each other more than once.
To generate an allocation schedule, you need to specify:
The last number is optional and automatically produces options that are valid, although we cannot guarantee all of these options exist. If no allocations show, it means we currently do not have a solution for that value, and you should try searching with another value.
All of our allocations provide the largest number of rounds possible for that configuration of group sizes and participant numbers.
Note that you do not specify the size of the groups: the system will automatically generate good balanced allocation schedules. More than one allocation schedule may be available for your combination of group size and number of participants.
Provided by the School of Computing Science at the University of Glasgow.