{
  "id": "lib-process:mathematics--sensitivity-analysis-optimization",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "sensitivity-analysis-optimization",
    "description": "Perform sensitivity analysis on optimization solutions to understand parameter impacts,\nidentify binding constraints, and assess solution robustness.",
    "libraryPath": "library/specializations/domains/science/mathematics/sensitivity-analysis-optimization.js",
    "specialization": "mathematics",
    "references": [
      "- Bertsimas & Tsitsiklis, Introduction to Linear Optimization\n- Nocedal & Wright, Numerical Optimization\n- Gal & Greenberg, Advances in Sensitivity Analysis and Parametric Programming"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/sensitivity-analysis-optimization', {\n  optimizationProblem: { type: 'LP', objective: 'max 3x + 5y', constraints: ['x + y <= 4', '2x + y <= 6'] },\n  solution: { x: 2, y: 2, optimalValue: 16 },\n  parametersOfInterest: ['resource_limits', 'objective_coefficients']\n});",
    "usesAgents": [
      "optimization-expert"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--sensitivity-analysis-optimization",
      "to": "lib-agent:mathematics--optimization-expert",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}