Iteration 1 - DATA_ENGINEER
Sequence: 2
Timestamp: 2025-07-27 23:56:48

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": "orchestra",
  "iteration": 0,
  "business_context": "An orchestra company wants to maximize the total attendance of their shows while considering the constraints related to the number of performances, the capacity of venues, and the availability of conductors.",
  "optimization_problem_description": "The goal is to maximize the total attendance across all shows by selecting the optimal number of performances for each orchestra, considering constraints such as the maximum number of performances an orchestra can handle, the maximum capacity of venues, and the availability of conductors.",
  "optimization_formulation": {
    "objective": "maximize total_attendance = \u2211(attendance_per_show[show_id] * x[show_id])",
    "decision_variables": "x[show_id] = number of performances for show_id (integer)",
    "constraints": [
      "\u2211(x[show_id]) <= max_performances_per_orchestra[orchestra_id]",
      "attendance_per_show[show_id] * x[show_id] <= venue_capacity[show_id]",
      "\u2211(x[show_id] * conductor_availability[conductor_id]) <= total_conductor_availability"
    ]
  },
  "current_optimization_to_schema_mapping": {
    "objective_coefficients": {
      "attendance_per_show[show_id]": {
        "currently_mapped_to": "show.Attendance",
        "mapping_adequacy": "good",
        "description": "represents the attendance for each show"
      }
    },
    "constraint_bounds": {
      "max_performances_per_orchestra[orchestra_id]": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "maximum number of performances an orchestra can handle"
      },
      "venue_capacity[show_id]": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "maximum capacity of the venue for each show"
      },
      "total_conductor_availability": {
        "currently_mapped_to": "missing",
        "mapping_adequacy": "missing",
        "description": "total availability of conductors"
      }
    },
    "decision_variables": {
      "x[show_id]": {
        "currently_mapped_to": "show.Show_ID",
        "mapping_adequacy": "partial",
        "description": "number of performances for each show",
        "variable_type": "integer"
      }
    }
  },
  "missing_optimization_requirements": [
    "Data on maximum performances per orchestra",
    "Venue capacity for each show",
    "Total availability of conductors"
  ],
  "iteration_status": {
    "complete": false,
    "confidence": "medium",
    "next_focus": "Refine constraints and ensure all necessary data is available for optimization"
  }
}





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

JSON STRUCTURE REQUIRED:

{
  "database_id": "orchestra",
  "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": "orchestra",
  "iteration": 1,
  "implementation_summary": "Schema changes include creating new tables for missing optimization data, modifying existing tables to fill mapping gaps, and updating business configuration logic for scalar parameters and formulas.",
  "or_requirements_analysis": {
    "mapping_gaps_identified": [
      "max_performances_per_orchestra[orchestra_id] is missing",
      "venue_capacity[show_id] is missing",
      "total_conductor_availability is missing"
    ],
    "missing_data_requirements": [
      "Data on maximum performances per orchestra",
      "Venue capacity for each show",
      "Total availability of conductors"
    ],
    "business_configuration_logic_needs": [
      "total_conductor_availability is better suited as a scalar parameter"
    ]
  },
  "schema_adjustment_decisions": {
    "tables_to_delete": [],
    "tables_to_create": [
      {
        "table_name": "OrchestraPerformanceLimits",
        "purpose": "constraint_bounds",
        "business_meaning": "maximum number of performances each orchestra can handle"
      },
      {
        "table_name": "VenueCapacity",
        "purpose": "constraint_bounds",
        "business_meaning": "maximum capacity of each venue for shows"
      }
    ],
    "tables_to_modify": [
      {
        "table_name": "Show",
        "changes": "Add column for number of performances",
        "reason": "To map decision variable x[show_id] for number of performances"
      }
    ]
  },
  "business_configuration_logic_updates": {
    "configuration_parameters": {
      "total_conductor_availability": {
        "sample_value": "100",
        "data_type": "INTEGER",
        "business_meaning": "total availability of conductors",
        "optimization_role": "constraint bound for conductor availability",
        "configuration_type": "scalar_parameter"
      }
    },
    "updates_rationale": "total_conductor_availability is a single value constraint better managed as a configuration parameter"
  },
  "implemented_optimization_mapping": {
    "objective_coefficients_mapping": {
      "attendance_per_show[show_id]": "Show.Attendance"
    },
    "constraint_bounds_mapping": {
      "max_performances_per_orchestra[orchestra_id]": "OrchestraPerformanceLimits.MaxPerformances",
      "venue_capacity[show_id]": "VenueCapacity.Capacity",
      "total_conductor_availability": "business_configuration_logic.total_conductor_availability"
    },
    "decision_variables_mapping": {
      "x[show_id]": "Show.Performances"
    }
  },
  "data_dictionary": {
    "tables": {
      "OrchestraPerformanceLimits": {
        "business_purpose": "Defines the maximum performances each orchestra can handle",
        "optimization_role": "constraint_bounds",
        "columns": {
          "Orchestra_ID": {
            "data_type": "INTEGER",
            "business_meaning": "Unique identifier for each orchestra",
            "optimization_purpose": "Index for constraint bounds",
            "sample_values": "1, 2, 3"
          },
          "MaxPerformances": {
            "data_type": "INTEGER",
            "business_meaning": "Maximum performances allowed for the orchestra",
            "optimization_purpose": "Constraint bound for performances",
            "sample_values": "5, 10, 15"
          }
        }
      },
      "VenueCapacity": {
        "business_purpose": "Defines the capacity of each venue for shows",
        "optimization_role": "constraint_bounds",
        "columns": {
          "Show_ID": {
            "data_type": "INTEGER",
            "business_meaning": "Unique identifier for each show",
            "optimization_purpose": "Index for constraint bounds",
            "sample_values": "101, 102, 103"
          },
          "Capacity": {
            "data_type": "INTEGER",
            "business_meaning": "Maximum capacity of the venue",
            "optimization_purpose": "Constraint bound for attendance",
            "sample_values": "200, 300, 400"
          }
        }
      },
      "Show": {
        "business_purpose": "Stores information about each show",
        "optimization_role": "decision_variables",
        "columns": {
          "Show_ID": {
            "data_type": "INTEGER",
            "business_meaning": "Unique identifier for each show",
            "optimization_purpose": "Index for decision variables",
            "sample_values": "101, 102, 103"
          },
          "Attendance": {
            "data_type": "INTEGER",
            "business_meaning": "Expected attendance for the show",
            "optimization_purpose": "Objective coefficient",
            "sample_values": "150, 250, 350"
          },
          "Performances": {
            "data_type": "INTEGER",
            "business_meaning": "Number of performances for the show",
            "optimization_purpose": "Decision variable",
            "sample_values": "1, 2, 3"
          }
        }
      }
    }
  },
  "data_mapping": {
    "objective_sources": [
      "Show.Attendance"
    ],
    "constraint_sources": [
      "OrchestraPerformanceLimits.MaxPerformances",
      "VenueCapacity.Capacity",
      "business_configuration_logic.total_conductor_availability"
    ],
    "sample_data_rows": {
      "OrchestraPerformanceLimits": 3,
      "VenueCapacity": 3,
      "Show": 3
    }
  },
  "validation": {
    "schema_complete": true,
    "data_consistent": true,
    "math_traceable": true,
    "business_aligned": true,
    "follows_db_standards": true
  }
}
