Minimum-occupancy rotation, 280 participants, 36 groups, 41 sessions

A 280-participant rotation through 36 groups of capacity 8 and minimum occupancy 6 across 41 sessions, minimizing repeated encounters.

280 people36 groups41 sessions300s limit8 CPUs
Scenario ID
internal.minimum-occupancy-rotation-280p-36g-41s.v1
Problem hash
sha256:8cee5907c191d818536cf0f572eccfa9daac7b230c6b421230543f149c47fe6a

Comparator results

publication r20

Barasu-kun

Unsupported
valid —best —median —
Configurationbarasu-kun-0586a3f-sequential-v1

evidence r1 · unsupported

The live product supports at most 26 groups and cannot express minimum occupancy or rotation semantics.

GolfSoftware Play All

Unsupported
valid —best —median —
Configurationgolfsoftware-play-all-live-55-second-v1

evidence r1 · unsupported

The live product exceeds its 100-participant limit and cannot express minimum occupancy or rotation semantics.

Good-Enough Golfers

Unsupported
valid —best —median —
Configurationgood-enough-unsupported-fixed-equal-group-size

evidence r1 · unsupported

The product requires one fixed equal group size, while the canonical case has 280 participants across 36 groups with capacities 7 and 8 and 41 sessions.

GroupMixer

Optimal
valid 5/5best 0median 0
Configurationauto-extreme-8-defaults

evidence r1 · eligible

Gurobi

Unavailable
valid —best —median —
Configurationunavailable-license

evidence r1 · unavailable

No runnable licensed environment and reproducible formulation are available for v1.

Halftime Team Pairings

Unsupported
valid —best —median —
Configurationhalftime-team-pairings-live-sequential-last-six-v1

evidence r1 · unsupported

The live product exposes only fixed group sizes 2 through 5, which cannot represent this canonical geometry.

Hexaly

Unavailable
valid —best —median —
Configurationunavailable-license

evidence r1 · unavailable

No runnable licensed environment and reproducible formulation are available for v1.

IIENSTITU Random Group Generator

Feasible
valid 5/5best 147,240median 147,240
Configurationiienstitu-live-avoid-history-seeded-v1

evidence r1 · eligible

Optimal Group Generator

Unsupported
valid —best —median —
Configurationoptimal-group-generator-live-fixed-ga-sequential-v1

evidence r1 · unsupported

The case exceeds the 50-member limit and the product cannot express minimum occupancy or rotation semantics.

Google OR-Tools CP-SAT

Error
valid 0/5best —median —
Configurationortools-cpsat-case-formulations-v1:generic-v2

evidence r19 · eligible

Measured 11 October 2026 on an Intel Core Ultra 9 386H; eight pinned CPUs, 8 GiB physical memory, swap disabled. Frozen case-specific OR-Tools 9.15.6755 formulation and parameters.

Social Golfer Online

Unsupported
valid —best —median —
Configurationsocial-golfer-online-beta-120-member-limit

evidence r1 · unsupported

The observed hosted beta limit is 120 members, so it cannot represent this 280-participant case.

Teach Arcade Group Maker

Feasible
valid 5/5best 99,764median 100,567
Configurationteach-arcade-live-roundrobin-sequential-history-v1

evidence r1 · eligible

TourneyCard Golf Randomizer

Unsupported
valid —best —median —
Configurationtourneycard-geometry-limits

evidence r1 · unsupported

Live TourneyCard 2.0.4 caps schedules at 14 rounds and supports only fixed group sizes 2 through 4; this canonical geometry exceeds both limits.

OR-Tools returned no candidate: 5 process errors. 5 attempts reached the 8 GiB physical memory limit. These are errors, not timeout or infeasibility claims.

Measured attempts

GroupMixer · seed-101optimal zero
native processcost 02.454s255 MiB
GroupMixer · seed-202optimal zero
native processcost 02.687s258 MiB
GroupMixer · seed-303optimal zero
native processcost 02.607s258 MiB
GroupMixer · seed-404optimal zero
native processcost 02.626s257 MiB
GroupMixer · seed-505optimal zero
native processcost 02.191s259 MiB
IIENSTITU Random Group Generator · seed-101feasible
hosted observationcost 147,24020.753sRSS —
IIENSTITU Random Group Generator · seed-202feasible
hosted observationcost 147,24019.067sRSS —
IIENSTITU Random Group Generator · seed-303feasible
hosted observationcost 147,24019.563sRSS —
IIENSTITU Random Group Generator · seed-404feasible
hosted observationcost 147,24027.132sRSS —
IIENSTITU Random Group Generator · seed-505feasible
hosted observationcost 147,24019.461sRSS —
Google OR-Tools CP-SAT · seed-101error
native processcost —43.49sRSS —
Google OR-Tools CP-SAT · seed-202error
native processcost —45.665sRSS —
Google OR-Tools CP-SAT · seed-303error
native processcost —46.867sRSS —
Google OR-Tools CP-SAT · seed-404error
native processcost —45.681sRSS —
Google OR-Tools CP-SAT · seed-505error
native processcost —46.485sRSS —
Teach Arcade Group Maker · attempt-1feasible
hosted observationcost 100,56712.671sRSS —
Teach Arcade Group Maker · attempt-2feasible
hosted observationcost 99,76413.466sRSS —
Teach Arcade Group Maker · attempt-3feasible
hosted observationcost 100,35813.014sRSS —
Teach Arcade Group Maker · attempt-4feasible
hosted observationcost 100,91915.784sRSS —
Teach Arcade Group Maker · attempt-5feasible
hosted observationcost 101,06213.757sRSS —

Pair-frequency distribution

GroupMixer · seed-101

Number of participant pairs by meeting frequency
MeetingsParticipant pairs
139060
Unique contacts
39,060
Repeat excess
0
Repeated pairs
0
Worst pair count
1
Min contacts / person
279
Mean contacts / person
279

Evidence and reproduction

gm-scenarios materialize internal.minimum-occupancy-rotation-280p-36g-41s.v1 --pretty --output case.json