{
  "annotation_id": "9192fdb3-aa30-461b-b49d-501fae4b2cc7",
  "date_created": "2026-03-02T18:00:56.982000Z",
  "date_modified": "2026-03-02T18:00:56.982000Z",
  "file_hash": "d9015e3fb5aee15dee4e9b578616e3145882681346dc82d38e9d21bfdfca3f54",
  "private": false,
  "record": {
    "abstract": "Sornette et al. claimed that the optimal supply does not agree with the\naverage demand, by analyzing a bakery model where a daily demand fluctuates\nwith a uniform distribution. In this note, we extend the model to general\nprobability distributions, and obtain the formula of the optimal supply for\nGaussian distribution, which is more realistic. Our result is useful in a real\nmarket to earn the largest income on average.",
    "arxiv_id": "physics/0503214",
    "authors": [
      "Nobuyuki Sakai",
      "Hisanori Kudoh"
    ],
    "categories": [
      "physics.soc-ph",
      "q-fin.GN"
    ],
    "title": "Optimal supply against fluctuating demand",
    "url": "https://arxiv.org/abs/physics/0503214"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "118e04f9-5733-4091-9ac9-ab2d13352b4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}