{
  "id": "lib-process:mathematics--optimization-problem-formulation",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "specializations/domains/science/mathematics/optimization-problem-formulation",
    "description": "Translate real-world optimization problems into mathematical programming formulations.\nIdentifies decision variables, objective functions, and constraints from problem descriptions.",
    "libraryPath": "library/specializations/domains/science/mathematics/optimization-problem-formulation.js",
    "specialization": "mathematics",
    "references": [
      "- Boyd & Vandenberghe, Convex Optimization",
      "- Bertsimas & Tsitsiklis, Introduction to Linear Optimization",
      "- Williams, Model Building in Mathematical Programming",
      "- AMPL Book: https://ampl.com/resources/the-ampl-book/"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/optimization-problem-formulation', {\n  problemDescription: 'Schedule nurses to minimize labor cost while ensuring adequate coverage for all shifts and respecting labor regulations',\n  objectives: ['minimize total labor cost', 'maximize employee satisfaction'],\n  constraints: ['24/7 coverage required', 'max 40 hours per week per nurse', 'minimum rest between shifts']\n});",
    "usesAgents": [
      "optimization-expert"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--optimization-problem-formulation",
      "to": "lib-agent:mathematics--optimization-expert",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}