{
  "id": "lib-skill:mathematics--mixed-integer-optimization",
  "_kind": "LibrarySkill",
  "_file": "generated-library/skills.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "mixed-integer-optimization",
    "description": "Mixed-integer linear and nonlinear programming",
    "libraryPath": "library/specializations/domains/science/mathematics/skills/mixed-integer-optimization/SKILL.md",
    "specialization": "mathematics",
    "contentSummary": "# Mixed-Integer Optimization\n\n## Purpose\n\nProvides capabilities for formulating and solving mixed-integer linear and nonlinear programming problems.\n\n## Capabilities\n\n- Branch and bound/cut algorithms\n- MIP formulation techniques\n- Indicator constraints\n- Big-M reformulations\n- Lazy cons"
  },
  "outgoingEdges": [
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "skill-area:np-hard-heuristics",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "skill-area:dynamic-programming",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--mixed-integer-optimization",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    }
  ],
  "incomingEdges": []
}