Iteration final - TRIPLE_EXPERT
Sequence: 4
Timestamp: 2025-07-28 00:07:10

Prompt:
You are a triple expert with deep knowledge in business operations, data management, and optimization modeling. Your task is to generate realistic, non-trivial, and solvable data values for the optimization problem given the final OR analysis, database schema, and business configuration logic.


BUSINESS CONFIGURATION INSTRUCTIONS:
- business_configuration_logic.json contains templates for scalar parameters with "sample_value"
- This includes parameters that were moved from potential tables due to insufficient row generation capability (minimum 3 rows rule)
- Your task: Replace "sample_value" with realistic "value" for scalar_parameter types
- Keep business_logic_formula expressions unchanged - DO NOT modify formulas
- Provide business_justification for each scalar value change
- Do not modify business_logic_formula or business_metric formulas


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

FINAL OR ANALYSIS:
{
  "database_id": "wrestler",
  "iteration": 1,
  "business_context": "Optimize the assignment of wrestlers to events to maximize the total number of days titles are held, considering constraints on wrestler participation and event scheduling.",
  "optimization_problem_description": "Maximize the total number of days titles are held by assigning wrestlers to events, ensuring that each wrestler can only participate in a limited number of events and that each event has a limited number of participants.",
  "optimization_formulation": {
    "objective": "maximize total_days_held = \u2211(Days_held[i] * Assigned[i, j])",
    "decision_variables": "Assigned[i, j]: binary variable indicating if wrestler i is assigned to event j",
    "constraints": [
      "\u2211(Assigned[i, j]) <= MaxEvents[i] for each wrestler i",
      "\u2211(Assigned[i, j]) <= MaxParticipants[j] for each event j"
    ]
  },
  "current_optimization_to_schema_mapping": {
    "objective_coefficients": {
      "Days_held[i]": {
        "currently_mapped_to": "Wrestler.Days_held",
        "mapping_adequacy": "good",
        "description": "Number of days a title is held by wrestler i"
      }
    },
    "constraint_bounds": {
      "MaxEvents[i]": {
        "currently_mapped_to": "Wrestler.MaxEvents",
        "mapping_adequacy": "good",
        "description": "Maximum number of events wrestler i can participate in"
      },
      "MaxParticipants[j]": {
        "currently_mapped_to": "EventConstraints.MaxParticipants",
        "mapping_adequacy": "good",
        "description": "Maximum number of participants allowed in event j"
      }
    },
    "decision_variables": {
      "Assigned[i, j]": {
        "currently_mapped_to": "WrestlerEventAssignment.Assigned",
        "mapping_adequacy": "good",
        "description": "Indicates if wrestler i is assigned to event j",
        "variable_type": "binary"
      }
    }
  },
  "missing_optimization_requirements": [],
  "iteration_status": {
    "complete": true,
    "confidence": "high",
    "next_focus": "Ready for convergence"
  }
}

FINAL IMPLEMENTATION:
{
  "database_id": "wrestler",
  "iteration": 1,
  "implementation_summary": "Schema changes include creating new tables for decision variables and constraint bounds, modifying existing tables to fill mapping gaps, and updating business configuration logic for scalar parameters and formulas.",
  "or_requirements_analysis": {
    "mapping_gaps_identified": [
      "max_events_per_wrestler not mapped",
      "max_participants_per_event not mapped",
      "x[i] decision variable not mapped"
    ],
    "missing_data_requirements": [
      "Data on maximum number of events a wrestler can participate in",
      "Data on maximum number of participants allowed per event",
      "Mapping of wrestlers to specific events"
    ],
    "business_configuration_logic_needs": [
      "max_events_per_wrestler",
      "max_participants_per_event"
    ]
  },
  "schema_adjustment_decisions": {
    "tables_to_delete": [],
    "tables_to_create": [
      {
        "table_name": "WrestlerEventAssignment",
        "purpose": "decision_variables",
        "business_meaning": "Tracks which wrestlers are assigned to which events"
      },
      {
        "table_name": "EventConstraints",
        "purpose": "constraint_bounds",
        "business_meaning": "Stores constraints related to event participation"
      }
    ],
    "tables_to_modify": [
      {
        "table_name": "Wrestler",
        "changes": "Add column for max_events_per_wrestler",
        "reason": "To map the constraint on the number of events a wrestler can participate in"
      }
    ]
  },
  "business_configuration_logic_updates": {
    "configuration_parameters": {
      "max_events_per_wrestler": {
        "sample_value": "5",
        "data_type": "INTEGER",
        "business_meaning": "Maximum number of events a wrestler can participate in",
        "optimization_role": "Constraint bound for wrestler participation",
        "configuration_type": "scalar_parameter"
      },
      "max_participants_per_event": {
        "sample_value": "10",
        "data_type": "INTEGER",
        "business_meaning": "Maximum number of participants allowed per event",
        "optimization_role": "Constraint bound for event participation",
        "configuration_type": "scalar_parameter"
      }
    },
    "updates_rationale": "These parameters are better in configuration logic due to their scalar nature and infrequent changes."
  },
  "implemented_optimization_mapping": {
    "objective_coefficients_mapping": {
      "days_held_coefficient[i]": "Wrestler.Days_held"
    },
    "constraint_bounds_mapping": {
      "max_events_per_wrestler": "business_configuration_logic.max_events_per_wrestler",
      "max_participants_per_event": "business_configuration_logic.max_participants_per_event"
    },
    "decision_variables_mapping": {
      "x[i]": "WrestlerEventAssignment.Assigned"
    }
  },
  "data_dictionary": {
    "tables": {
      "Wrestler": {
        "business_purpose": "Stores information about wrestlers",
        "optimization_role": "objective_coefficients",
        "columns": {
          "WrestlerID": {
            "data_type": "INTEGER",
            "business_meaning": "Unique identifier for each wrestler",
            "optimization_purpose": "Index for decision variables and coefficients",
            "sample_values": "1, 2, 3"
          },
          "Days_held": {
            "data_type": "INTEGER",
            "business_meaning": "Number of days a title is held by the wrestler",
            "optimization_purpose": "Objective coefficient",
            "sample_values": "30, 45, 60"
          },
          "MaxEvents": {
            "data_type": "INTEGER",
            "business_meaning": "Maximum number of events a wrestler can participate in",
            "optimization_purpose": "Constraint bound",
            "sample_values": "5, 6, 7"
          }
        }
      },
      "WrestlerEventAssignment": {
        "business_purpose": "Tracks wrestler assignments to events",
        "optimization_role": "decision_variables",
        "columns": {
          "WrestlerID": {
            "data_type": "INTEGER",
            "business_meaning": "Identifier for the wrestler",
            "optimization_purpose": "Index for decision variable",
            "sample_values": "1, 2, 3"
          },
          "EventID": {
            "data_type": "INTEGER",
            "business_meaning": "Identifier for the event",
            "optimization_purpose": "Index for decision variable",
            "sample_values": "101, 102, 103"
          },
          "Assigned": {
            "data_type": "BOOLEAN",
            "business_meaning": "Indicates if the wrestler is assigned to the event",
            "optimization_purpose": "Decision variable",
            "sample_values": "true, false"
          }
        }
      },
      "EventConstraints": {
        "business_purpose": "Stores constraints related to event participation",
        "optimization_role": "constraint_bounds",
        "columns": {
          "EventID": {
            "data_type": "INTEGER",
            "business_meaning": "Identifier for the event",
            "optimization_purpose": "Index for constraint",
            "sample_values": "101, 102, 103"
          },
          "MaxParticipants": {
            "data_type": "INTEGER",
            "business_meaning": "Maximum number of participants allowed per event",
            "optimization_purpose": "Constraint bound",
            "sample_values": "10, 12, 15"
          }
        }
      }
    }
  },
  "data_mapping": {
    "objective_sources": [
      "Wrestler.Days_held"
    ],
    "constraint_sources": [
      "Wrestler.MaxEvents",
      "EventConstraints.MaxParticipants"
    ],
    "sample_data_rows": {
      "Wrestler": 3,
      "WrestlerEventAssignment": 5,
      "EventConstraints": 3
    }
  },
  "validation": {
    "schema_complete": true,
    "data_consistent": true,
    "math_traceable": true,
    "business_aligned": true,
    "follows_db_standards": true
  }
}

FINAL SCHEMA:
```sql
-- Iteration 1 Database Schema
-- Objective: Schema changes include creating new tables for decision variables and constraint bounds, modifying existing tables to fill mapping gaps, and updating business configuration logic for scalar parameters and formulas.

CREATE TABLE Wrestler (
  WrestlerID INTEGER,
  Days_held INTEGER,
  MaxEvents INTEGER
);

CREATE TABLE WrestlerEventAssignment (
  WrestlerID INTEGER,
  EventID INTEGER,
  Assigned BOOLEAN
);

CREATE TABLE EventConstraints (
  EventID INTEGER,
  MaxParticipants INTEGER
);


```

DATA DICTIONARY:
{
  "tables": {
    "Wrestler": {
      "business_purpose": "Stores information about wrestlers",
      "optimization_role": "objective_coefficients",
      "columns": {
        "WrestlerID": {
          "data_type": "INTEGER",
          "business_meaning": "Unique identifier for each wrestler",
          "optimization_purpose": "Index for decision variables and coefficients",
          "sample_values": "1, 2, 3"
        },
        "Days_held": {
          "data_type": "INTEGER",
          "business_meaning": "Number of days a title is held by the wrestler",
          "optimization_purpose": "Objective coefficient",
          "sample_values": "30, 45, 60"
        },
        "MaxEvents": {
          "data_type": "INTEGER",
          "business_meaning": "Maximum number of events a wrestler can participate in",
          "optimization_purpose": "Constraint bound",
          "sample_values": "5, 6, 7"
        }
      }
    },
    "WrestlerEventAssignment": {
      "business_purpose": "Tracks wrestler assignments to events",
      "optimization_role": "decision_variables",
      "columns": {
        "WrestlerID": {
          "data_type": "INTEGER",
          "business_meaning": "Identifier for the wrestler",
          "optimization_purpose": "Index for decision variable",
          "sample_values": "1, 2, 3"
        },
        "EventID": {
          "data_type": "INTEGER",
          "business_meaning": "Identifier for the event",
          "optimization_purpose": "Index for decision variable",
          "sample_values": "101, 102, 103"
        },
        "Assigned": {
          "data_type": "BOOLEAN",
          "business_meaning": "Indicates if the wrestler is assigned to the event",
          "optimization_purpose": "Decision variable",
          "sample_values": "true, false"
        }
      }
    },
    "EventConstraints": {
      "business_purpose": "Stores constraints related to event participation",
      "optimization_role": "constraint_bounds",
      "columns": {
        "EventID": {
          "data_type": "INTEGER",
          "business_meaning": "Identifier for the event",
          "optimization_purpose": "Index for constraint",
          "sample_values": "101, 102, 103"
        },
        "MaxParticipants": {
          "data_type": "INTEGER",
          "business_meaning": "Maximum number of participants allowed per event",
          "optimization_purpose": "Constraint bound",
          "sample_values": "10, 12, 15"
        }
      }
    }
  }
}


BUSINESS CONFIGURATION LOGIC:
{
  "max_events_per_wrestler": {
    "sample_value": "5",
    "data_type": "INTEGER",
    "business_meaning": "Maximum number of events a wrestler can participate in",
    "optimization_role": "Constraint bound for wrestler participation",
    "configuration_type": "scalar_parameter"
  },
  "max_participants_per_event": {
    "sample_value": "10",
    "data_type": "INTEGER",
    "business_meaning": "Maximum number of participants allowed per event",
    "optimization_role": "Constraint bound for event participation",
    "configuration_type": "scalar_parameter"
  }
}


DATA GENERATION CONSTRAINTS:
- Minimum 3 rows per table
- Maximum 20 rows per table
- Values must be realistic and business-appropriate
- Data must enable a solvable optimization problem
- Consider business relationships between tables
- Respect business configuration logic parameters

TASK: Generate realistic data values that make the optimization problem meaningful and solvable.

JSON STRUCTURE REQUIRED:

{
  "database_id": "wrestler",
  "data_generation_approach": "Description of how you determined realistic values",
  "business_rationale": "Why these values make business sense",
  "optimization_solvability": "How these values ensure the problem is solvable",
  
  "generated_data": {
    "table_name": [
      {
        "column1": "realistic_value1",
        "column2": "realistic_value2",
        "business_justification": "why these specific values"
      },
      {
        "column1": "realistic_value3", 
        "column2": "realistic_value4",
        "business_justification": "why these specific values"
      }
    ]
  },
  
  "business_configuration_values": {
    "parameter_name": {
      "value": "realistic_parameter_value",
      "business_justification": "why this parameter value is realistic"
    }
  },
  
  "data_relationships": {
    "cross_table_consistency": "How values across tables relate logically",
    "optimization_coefficients": "How values support the objective function",
    "constraint_feasibility": "How values ensure constraints are satisfiable",
    "configuration_integration": "How business configuration parameters integrate with table data"
  },
  
  "validation": {
    "business_realistic": true,
    "optimization_solvable": true,
    "data_consistent": true,
    "non_trivial": true
  }
}

Response:
{
  "database_id": "wrestler",
  "data_generation_approach": "Values were determined based on typical wrestling event structures and participation limits, ensuring a balance between wrestler availability and event capacity.",
  "business_rationale": "The values reflect realistic constraints and opportunities in wrestling events, ensuring that wrestlers can participate in multiple events while events have a reasonable number of participants.",
  "optimization_solvability": "The values ensure that the optimization problem has feasible solutions by providing enough flexibility in wrestler assignments and event capacities.",
  "generated_data": {
    "Wrestler": [
      {
        "WrestlerID": 1,
        "Days_held": 30,
        "MaxEvents": 5,
        "business_justification": "Wrestler 1 is moderately successful, holding titles for a month and participating in a reasonable number of events."
      },
      {
        "WrestlerID": 2,
        "Days_held": 45,
        "MaxEvents": 6,
        "business_justification": "Wrestler 2 is more successful, holding titles longer and participating in more events."
      },
      {
        "WrestlerID": 3,
        "Days_held": 60,
        "MaxEvents": 7,
        "business_justification": "Wrestler 3 is highly successful, holding titles for two months and participating in the maximum number of events."
      }
    ],
    "WrestlerEventAssignment": [
      {
        "WrestlerID": 1,
        "EventID": 101,
        "Assigned": true,
        "business_justification": "Wrestler 1 is assigned to Event 101 to maximize participation."
      },
      {
        "WrestlerID": 2,
        "EventID": 102,
        "Assigned": true,
        "business_justification": "Wrestler 2 is assigned to Event 102 to leverage their higher participation capacity."
      },
      {
        "WrestlerID": 3,
        "EventID": 103,
        "Assigned": true,
        "business_justification": "Wrestler 3 is assigned to Event 103 to utilize their maximum participation potential."
      },
      {
        "WrestlerID": 1,
        "EventID": 102,
        "Assigned": false,
        "business_justification": "Wrestler 1 is not assigned to Event 102 to respect their participation limit."
      },
      {
        "WrestlerID": 2,
        "EventID": 103,
        "Assigned": false,
        "business_justification": "Wrestler 2 is not assigned to Event 103 to maintain a balance in event assignments."
      }
    ],
    "EventConstraints": [
      {
        "EventID": 101,
        "MaxParticipants": 10,
        "business_justification": "Event 101 has a moderate capacity, allowing for a balanced number of participants."
      },
      {
        "EventID": 102,
        "MaxParticipants": 12,
        "business_justification": "Event 102 has a slightly higher capacity to accommodate more wrestlers."
      },
      {
        "EventID": 103,
        "MaxParticipants": 15,
        "business_justification": "Event 103 has the highest capacity, allowing for maximum participation."
      }
    ]
  },
  "business_configuration_values": {
    "max_events_per_wrestler": {
      "value": 6,
      "business_justification": "This value allows wrestlers to participate in a sufficient number of events to maximize their exposure and title-holding potential."
    },
    "max_participants_per_event": {
      "value": 12,
      "business_justification": "This value ensures events are competitive and engaging, with enough participants to create a dynamic environment."
    }
  },
  "data_relationships": {
    "cross_table_consistency": "Wrestler assignments and event capacities are aligned to ensure feasible participation across events.",
    "optimization_coefficients": "Days held values are used to prioritize wrestler assignments to maximize title-holding days.",
    "constraint_feasibility": "MaxEvents and MaxParticipants values ensure that constraints are not overly restrictive, allowing for feasible solutions.",
    "configuration_integration": "Business configuration parameters are reflected in the table data, ensuring consistency and alignment with optimization goals."
  },
  "validation": {
    "business_realistic": true,
    "optimization_solvable": true,
    "data_consistent": true,
    "non_trivial": true
  }
}
