adding integration docs

docs/integrate.md

@@ -0,0 +1,66 @@
+ 
+GET /health
+
+Response:
+
+{
+  "status": "healthy",
+  "timestamp": "2025-11-25T00:17:15.053513",
+  "service": "greedyoptim-api"
+}
+
+
+GET /methods
+
+Response:
+
+ {
+  "available_methods": {
+    "ga": {
+      "name": "Genetic Algorithm",
+      "description": "Evolutionary optimization using selection, crossover, and mutation",
+      "typical_time": "medium",
+      "solution_quality": "high"
+    },
+    "cmaes": {
+      "name": "CMA-ES",
+      "description": "Covariance Matrix Adaptation Evolution Strategy",
+      "typical_time": "medium-high",
+      "solution_quality": "very high"
+    },
+    "pso": {
+      "name": "Particle Swarm Optimization",
+      "description": "Swarm intelligence-based optimization",
+      "typical_time": "medium",
+      "solution_quality": "high"
+    },
+    "sa": {
+      "name": "Simulated Annealing",
+      "description": "Probabilistic optimization inspired by metallurgy",
+      "typical_time": "medium",
+      "solution_quality": "medium-high"
+    },
+    "nsga2": {
+      "name": "NSGA-II",
+      "description": "Non-dominated Sorting Genetic Algorithm (multi-objective)",
+      "typical_time": "high",
+      "solution_quality": "very high"
+    },
+    "adaptive": {
+      "name": "Adaptive Optimizer",
+      "description": "Automatically selects best algorithm",
+      "typical_time": "high",
+      "solution_quality": "very high"
+    },
+    "ensemble": {
+      "name": "Ensemble Optimizer",
+      "description": "Runs multiple algorithms in parallel",
+      "typical_time": "high",
+      "solution_quality": "highest"
+    }
+  },
+  "default_method": "ga",
+  "recommended_for_speed": "ga",
+  "recommended_for_quality": "ensemble"
+}
+