pith:KHCRLFGM
Conflict-Aware Seat Assignment in Classroom Environments
A heuristic search method finds better classroom seating arrangements than commercial solvers when student conflicts are numerous.
arxiv:2605.04235 v2 · 2026-05-05 · math.CO · cs.CY · math.OC
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\pithnumber{KHCRLFGMMWCB4Z6NG7KQZDL375}
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Record completeness
Claims
Computational experiments demonstrated that ILS outperformed in more complex scenarios when compared to the results obtained by a commercial solver on the introduced mathematical model. ILS was particularly efficient in real and artificial instances that exhibited a higher number of conflicts.
That interpersonal conflicts can be pre-quantified accurately enough for the model to produce seating plans that actually reduce real-world friction, and that the test instances sufficiently represent typical classroom conflict structures.
Introduces the Student Seat Allocation Problem and reports that an Iterated Local Search heuristic outperforms a commercial solver on classroom instances with many conflicts.
Receipt and verification
| First computed | 2026-06-03T02:05:48.130789Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
51c51594cc65841e67cd37d50c8d7bff7db54d2b297d1149cb75bee53191a56d
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KHCRLFGMMWCB4Z6NG7KQZDL375 \
| jq -c '.canonical_record' \
| python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 51c51594cc65841e67cd37d50c8d7bff7db54d2b297d1149cb75bee53191a56d
Canonical record JSON
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