Iteration 1 - DATA_ENGINEER
Sequence: 2
Timestamp: 2025-07-27 23:59:04

Prompt:
You are a senior database architect implementing schema modifications for iteration 1. Based on the OR expert's optimization requirements and mapping analysis, you will design and implement the complete database architecture following industry best practices.

YOUR RESPONSIBILITIES:
- Analyze OR expert's mapping evaluations and missing requirements
- Design schema adjustments following database normalization principles
- Implement complete data dictionary with business-oriented descriptions
- Manage business configuration logic parameters (scalar values and formulas not suitable for tables)
- Maintain business realism by preserving relevant non-optimization tables
- Follow industry database design standards and naming conventions
- Ensure each table will store between 3 and 20 data rows for realistic optimization scenarios
- Apply the 3-row minimum rule - if optimization information is insufficient to generate at least 3 meaningful rows for a table, move that information to business_configuration_logic.json instead.


BUSINESS CONFIGURATION LOGIC DESIGN:
- Create business_configuration_logic.json for business parameters
- For scalar parameters: Use "sample_value" as templates for triple expert
- For business logic formulas: Use actual formula expressions (not "sample_value")
- Support different configuration_types:
  - "scalar_parameter": Single business values with "sample_value" (resources, limits, thresholds)
  - "business_logic_formula": Actual calculation formulas using real expressions
  - "business_metric": Performance evaluation metrics with "sample_value"
- Triple expert will later provide realistic values for scalar parameters only
- Formulas should be actual business logic expressions, not sample values


CRITICAL: Respond with ONLY a valid JSON object. No explanations, no markdown, no extra text.

OR EXPERT ANALYSIS (iteration 1):
{
  "database_id": "university_basketball",
  "iteration": 0,
  "business_context": "A university basketball league wants to optimize the allocation of resources to different teams to maximize their overall performance in the league.",
  "optimization_problem_description": "The goal is to maximize the overall performance of the basketball teams by optimally allocating resources such as training hours, coaching staff, and budget. The performance is measured by the win percentage in all games. Constraints include limits on total resources available and minimum resource allocation requirements for each team.",
  "optimization_formulation": {
    "objective": "maximize \u2211(All_Games_Percent[Team_ID] \u00d7 Resource_Allocation[Team_ID])",
    "decision_variables": "Resource_Allocation[Team_ID] - continuous variable representing the amount of resources allocated to each team",
    "constraints": [
      "\u2211(Resource_Allocation[Team_ID]) \u2264 Total_Resources_Available",
      "Resource_Allocation[Team_ID] \u2265 Minimum_Resource_Allocation[Team_ID] for all Team_ID",
      "Resource_Allocation[Team_ID] \u2264 Maximum_Resource_Allocation[Team_ID] for all Team_ID"
    ]
  },
  "current_optimization_to_schema_mapping": {
    "objective_coefficients": {
      "All_Games_Percent[Team_ID]": {
        "currently_mapped_to": "basketball_match.All_Games_Percent",
        "mapping_adequacy": "good",
        "description": "represents the win percentage of each team in all games"
      }
    },
    "constraint_bounds": {
      "Total_Resources_Available": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "total resources available for allocation across all teams"
      },
      "Minimum_Resource_Allocation[Team_ID]": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "minimum resources that must be allocated to each team"
      },
      "Maximum_Resource_Allocation[Team_ID]": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "maximum resources that can be allocated to each team"
      }
    },
    "decision_variables": {
      "Resource_Allocation[Team_ID]": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "amount of resources allocated to each team",
        "variable_type": "continuous"
      }
    }
  },
  "missing_optimization_requirements": [
    "Total_Resources_Available",
    "Minimum_Resource_Allocation for each team",
    "Maximum_Resource_Allocation for each team"
  ],
  "iteration_status": {
    "complete": false,
    "confidence": "medium",
    "next_focus": "Gather missing data on resource constraints and refine the model with realistic bounds"
  }
}





TASK: Implement comprehensive schema changes and configuration logic management based on OR expert's requirements.

JSON STRUCTURE REQUIRED:

{
  "database_id": "university_basketball",
  "iteration": 1,
  "implementation_summary": "Summary of schema changes and configuration logic updates based on OR expert mapping analysis",
  
  "or_requirements_analysis": {
    "mapping_gaps_identified": [
      "List specific gaps identified from OR expert's mapping_adequacy assessments"
    ],
    "missing_data_requirements": [
      "List missing optimization data requirements from OR expert"
    ],
    "business_configuration_logic_needs": [
      "Scalar parameters and formulas better suited for configuration than tables"
    ]
  },
  
  "schema_adjustment_decisions": {
    "tables_to_delete": [
      {
        "table_name": "table_name",
        "reason": "business justification for removal (optimization irrelevant vs business irrelevant)"
      }
    ],
    "tables_to_create": [
      {
        "table_name": "table_name", 
        "purpose": "optimization role (decision_variables/objective_coefficients/constraint_bounds/business_data)",
        "business_meaning": "what this table represents in business context"
      }
    ],
    "tables_to_modify": [
      {
        "table_name": "existing_table",
        "changes": "specific modifications needed",
        "reason": "why these changes address OR expert's mapping gaps"
      }
    ]
  },
  
  "business_configuration_logic_updates": {
    "configuration_parameters": {
      "parameter_name": {
        "sample_value": "sample_parameter_value",
        "data_type": "INTEGER/FLOAT/STRING/BOOLEAN",
        "business_meaning": "what this parameter represents in business context",
        "optimization_role": "how this parameter is used in optimization model",
        "configuration_type": "scalar_parameter"
      },
      "formula_name": {
        "formula_expression": "actual_business_formula_expression",
        "data_type": "STRING",
        "business_meaning": "what this formula represents in business context",
        "optimization_role": "how this formula is used in optimization model",
        "configuration_type": "business_logic_formula"
      }
    },
    "updates_rationale": "why these parameters are better in configuration logic than tables"
  },
  
  "implemented_optimization_mapping": {
    "objective_coefficients_mapping": {
      "coefficient_name[indices]": "table.column OR business_configuration_logic.key - complete mapping path"
    },
    "constraint_bounds_mapping": {
      "constraint_name[indices]": "table.column OR business_configuration_logic.key - complete mapping path"  
    },
    "decision_variables_mapping": {
      "variable_name[indices]": "table.column OR business_configuration_logic.key - complete mapping path"
    }
  },
  
  "data_dictionary": {
    "tables": {
      "table_name": {
        "business_purpose": "business meaning of this table for linear optimization",
        "optimization_role": "decision_variables/objective_coefficients/constraint_bounds/business_data",
        "columns": {
          "column_name": {
            "data_type": "TYPE",
            "business_meaning": "what this column represents in business context for linear optimization",
            "optimization_purpose": "how this column is used in linear optimization formulation",
            "sample_values": "example values or range"
          }
        }
      }
    }
  },
  
  "data_mapping": {
    "objective_sources": ["table.column pairs for linear objective function"],
    "constraint_sources": ["table.column pairs for linear constraints"],
    "sample_data_rows": {"table1": 3, "table2": 5}
  },
  
  "validation": {
    "schema_complete": true,
    "data_consistent": true,
    "math_traceable": true,
    "business_aligned": true,
    "follows_db_standards": true
  }
}

Response:
{
  "database_id": "university_basketball",
  "iteration": 1,
  "implementation_summary": "Schema changes include creating new tables for resource allocation constraints and decision variables, and updating existing tables to fill mapping gaps. Configuration logic updates include adding scalar parameters for total resources and resource allocation limits.",
  "or_requirements_analysis": {
    "mapping_gaps_identified": [
      "Total_Resources_Available not mapped",
      "Minimum_Resource_Allocation[Team_ID] not mapped",
      "Maximum_Resource_Allocation[Team_ID] not mapped",
      "Resource_Allocation[Team_ID] not mapped"
    ],
    "missing_data_requirements": [
      "Total_Resources_Available",
      "Minimum_Resource_Allocation for each team",
      "Maximum_Resource_Allocation for each team"
    ],
    "business_configuration_logic_needs": [
      "Total_Resources_Available as scalar parameter",
      "Minimum_Resource_Allocation[Team_ID] as scalar parameter",
      "Maximum_Resource_Allocation[Team_ID] as scalar parameter"
    ]
  },
  "schema_adjustment_decisions": {
    "tables_to_delete": [],
    "tables_to_create": [
      {
        "table_name": "resource_allocation",
        "purpose": "decision_variables",
        "business_meaning": "represents the amount of resources allocated to each team"
      },
      {
        "table_name": "resource_constraints",
        "purpose": "constraint_bounds",
        "business_meaning": "represents the minimum and maximum resource allocation constraints for each team"
      }
    ],
    "tables_to_modify": [
      {
        "table_name": "basketball_match",
        "changes": "Add column for Resource_Allocation",
        "reason": "To map Resource_Allocation[Team_ID] decision variable"
      }
    ]
  },
  "business_configuration_logic_updates": {
    "configuration_parameters": {
      "Total_Resources_Available": {
        "sample_value": "1000",
        "data_type": "INTEGER",
        "business_meaning": "total resources available for allocation across all teams",
        "optimization_role": "constraint bound for total resources",
        "configuration_type": "scalar_parameter"
      },
      "Minimum_Resource_Allocation": {
        "sample_value": "50",
        "data_type": "INTEGER",
        "business_meaning": "minimum resources that must be allocated to each team",
        "optimization_role": "constraint bound for minimum allocation",
        "configuration_type": "scalar_parameter"
      },
      "Maximum_Resource_Allocation": {
        "sample_value": "200",
        "data_type": "INTEGER",
        "business_meaning": "maximum resources that can be allocated to each team",
        "optimization_role": "constraint bound for maximum allocation",
        "configuration_type": "scalar_parameter"
      }
    },
    "updates_rationale": "These parameters are better in configuration logic as they represent global constraints and limits rather than data that varies per team."
  },
  "implemented_optimization_mapping": {
    "objective_coefficients_mapping": {
      "All_Games_Percent[Team_ID]": "basketball_match.All_Games_Percent"
    },
    "constraint_bounds_mapping": {
      "Total_Resources_Available": "business_configuration_logic.Total_Resources_Available",
      "Minimum_Resource_Allocation[Team_ID]": "business_configuration_logic.Minimum_Resource_Allocation",
      "Maximum_Resource_Allocation[Team_ID]": "business_configuration_logic.Maximum_Resource_Allocation"
    },
    "decision_variables_mapping": {
      "Resource_Allocation[Team_ID]": "resource_allocation.amount"
    }
  },
  "data_dictionary": {
    "tables": {
      "basketball_match": {
        "business_purpose": "stores match results and team performance metrics",
        "optimization_role": "objective_coefficients",
        "columns": {
          "All_Games_Percent": {
            "data_type": "FLOAT",
            "business_meaning": "win percentage of each team in all games",
            "optimization_purpose": "coefficient in the objective function",
            "sample_values": "0.75, 0.60, 0.85"
          },
          "Resource_Allocation": {
            "data_type": "FLOAT",
            "business_meaning": "amount of resources allocated to the team",
            "optimization_purpose": "decision variable for resource allocation",
            "sample_values": "100, 150, 120"
          }
        }
      },
      "resource_allocation": {
        "business_purpose": "stores the amount of resources allocated to each team",
        "optimization_role": "decision_variables",
        "columns": {
          "Team_ID": {
            "data_type": "INTEGER",
            "business_meaning": "unique identifier for each team",
            "optimization_purpose": "index for resource allocation",
            "sample_values": "1, 2, 3"
          },
          "amount": {
            "data_type": "FLOAT",
            "business_meaning": "amount of resources allocated to the team",
            "optimization_purpose": "decision variable for resource allocation",
            "sample_values": "100, 150, 120"
          }
        }
      },
      "resource_constraints": {
        "business_purpose": "stores resource allocation constraints for each team",
        "optimization_role": "constraint_bounds",
        "columns": {
          "Team_ID": {
            "data_type": "INTEGER",
            "business_meaning": "unique identifier for each team",
            "optimization_purpose": "index for constraints",
            "sample_values": "1, 2, 3"
          },
          "Minimum_Allocation": {
            "data_type": "FLOAT",
            "business_meaning": "minimum resources that must be allocated to the team",
            "optimization_purpose": "constraint bound for minimum allocation",
            "sample_values": "50, 60, 70"
          },
          "Maximum_Allocation": {
            "data_type": "FLOAT",
            "business_meaning": "maximum resources that can be allocated to the team",
            "optimization_purpose": "constraint bound for maximum allocation",
            "sample_values": "200, 180, 190"
          }
        }
      }
    }
  },
  "data_mapping": {
    "objective_sources": [
      "basketball_match.All_Games_Percent"
    ],
    "constraint_sources": [
      "resource_constraints.Minimum_Allocation",
      "resource_constraints.Maximum_Allocation"
    ],
    "sample_data_rows": {
      "basketball_match": 3,
      "resource_allocation": 3,
      "resource_constraints": 3
    }
  },
  "validation": {
    "schema_complete": true,
    "data_consistent": true,
    "math_traceable": true,
    "business_aligned": true,
    "follows_db_standards": true
  }
}
