OptimizationProblems.jl/docs/extract_hs85.json at d30b774f52339e881b14725f317772be59848a29 · JuliaSmoothOptimizers/OptimizationProblems.jl · GitHub

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{
  "problem": "hs85",
  "source": "Hock and Schittkowski, Problem 85",
  "variables": ["x1", "x2", "x3", "x4", "x5"],
  "bounds": {
    "lvar": [704.4148, 68.6, 0.0, 193.0, 25.0],
    "uvar": [906.3855, 288.88, 134.75, 287.0966, 84.1988],
    "x0": [900.0, 80.0, 115.0, 267.0, 27.0]
  },
  "objective": "-5.843e-7 * y17 + 1.17e-4 * y14 + 2.358e-5 * y13 + 1.502e-6 * y16 + 0.0321 * y12 + 0.004324 * y5 + 1e-4 * c15 / c16 + 37.48 * y2 / c12 + 0.1365",
  "constraints": [
    "1.5 * x2 - x3 >= 0",
    "y1 - 213.1 >= 0",
    "405.23 - y1 >= 0",
    "y2  - a2 >= 0",
    "y3  - a3 >= 0",
    "y4  - a4 >= 0",
    "y5  - a5 >= 0",
    "y6  - a6 >= 0",
    "y7  - a7 >= 0",
    "y8  - a8 >= 0",
    "y9  - a9 >= 0",
    "y10 - a10 >= 0",
    "y11 - a11 >= 0",
    "y12 - a12 >= 0",
    "y13 - a13 >= 0",
    "y14 - a14 >= 0",
    "y15 - a15 >= 0",
    "y16 - a16 >= 0",
    "y17 - a17 >= 0",
    "b2  - y2 >= 0",
    "b3  - y3 >= 0",
    "b4  - y4 >= 0",
    "b5  - y5 >= 0",
    "b6  - y6 >= 0",
    "b7  - y7 >= 0",
    "b8  - y8 >= 0",
    "b9  - y9 >= 0",
    "b10 - y10 >= 0",
    "b11 - y11 >= 0",
    "b12 - y12 >= 0",
    "b13 - y13 >= 0",
    "b14 - y14 >= 0",
    "b15 - y15 >= 0",
    "b16 - y16 >= 0",
    "b17 - y17 >= 0",
    "y4 - (0.28 / 0.72) * y5 >= 0",
    "21 - 3496 * y2 / c12 >= 0",
    "62212 / c17 - 110.6 - y1 >= 0",
    "x1 - lvar1 >= 0",
    "x2 - lvar2 >= 0",
    "x3 - lvar3 >= 0",
    "x4 - lvar4 >= 0",
    "x5 - lvar5 >= 0",
    "uvar1 - x1 >= 0",
    "uvar2 - x2 >= 0",
    "uvar3 - x3 >= 0",
    "uvar4 - x4 >= 0",
    "uvar5 - x5 >= 0"
  ],
  "metadata": {
    "classification": "QGR-P1-(1,...,6)",
    "implementation": "AI/JSO, 03/2026"
  },
  "uncertainties": []
}