=== Problem Context ===
# Complete Optimization Problem and Solution: news_report

## 1. Problem Context and Goals

### Context  
A news agency is tasked with optimizing the assignment of journalists to events to maximize the overall quality of coverage. The quality of coverage is determined by the journalist's years of experience and the attendance of the event they are assigned to. Each event must be covered by at least one journalist, and no journalist can be assigned to more than a specified number of events, as defined by the business configuration. The decision to assign a journalist to an event is represented as a binary choice, ensuring a clear and linear relationship between the decision variables and the objective. The coverage quality is calculated as the product of the journalist's years of experience and the event's attendance, which directly contributes to the linear objective function. This setup ensures that the optimization problem remains linear, avoiding any nonlinear relationships such as variable products or divisions.

### Goals  
The primary goal of this optimization problem is to maximize the total coverage quality across all events. This is achieved by strategically assigning journalists to events in a way that leverages their experience and the significance of the event, as measured by attendance. Success is measured by the sum of the coverage quality scores for all assignments, where each score is the product of the journalist's years of experience and the event's attendance. The optimization process ensures that the assignments are made within the constraints of each journalist's maximum allowable number of event assignments, maintaining a balanced and efficient allocation of resources.

## 2. Constraints    

1. **Event Coverage Requirement**: Each event must be covered by at least one journalist. This ensures that all events receive adequate coverage, and no event is left unattended.  
2. **Journalist Assignment Limit**: No journalist can be assigned to more than the maximum number of events specified in the business configuration. This prevents overburdening journalists and ensures a fair distribution of assignments.  

These constraints are designed to maintain operational feasibility while aligning with the linear structure of the optimization problem. They ensure that the assignments are both comprehensive and balanced, without introducing any nonlinear complexities.

## 3. Available Data  

### Database Schema  
```sql
-- Iteration 1 Database Schema
-- Objective: Schema changes include creating a new table for journalist-event assignments and adding a column for maximum assignments per journalist. Configuration logic updates include adding scalar parameters for maximum assignments and a formula for coverage quality calculation.

CREATE TABLE journalist (
  Years_working INTEGER,
  max_assignments INTEGER
);

CREATE TABLE event (
  Event_Attendance INTEGER
);

CREATE TABLE journalist_event_assignment (
  assignment BOOLEAN
);
```

### Data Dictionary  
- **Journalist Table**:  
  - **Years_working**: Represents the number of years a journalist has been working. This value is used to calculate the coverage quality score.  
  - **max_assignments**: Specifies the maximum number of events a journalist can be assigned to, ensuring balanced workloads.  

- **Event Table**:  
  - **Event_Attendance**: Represents the number of attendees at an event. This value is used to calculate the coverage quality score.  

- **Journalist_Event_Assignment Table**:  
  - **assignment**: A binary indicator (0 or 1) that determines whether a journalist is assigned to a specific event. This is the decision variable in the optimization problem.  


=== Schema ===
-- Iteration 1 Database Schema
-- Objective: Schema changes include creating a new table for journalist-event assignments and adding a column for maximum assignments per journalist. Configuration logic updates include adding scalar parameters for maximum assignments and a formula for coverage quality calculation.

CREATE TABLE journalist (
  Years_working INTEGER,
  max_assignments INTEGER
);

CREATE TABLE event (
  Event_Attendance INTEGER
);

CREATE TABLE journalist_event_assignment (
  assignment BOOLEAN
);



=== LLM Response ===
```sql
-- Query Description: Retrieve the list of journalists with their years of experience and maximum assignment limits.
-- This data is crucial for determining the objective function coefficients (years of experience) and the constraint parameters (max_assignments).
SELECT Years_working, max_assignments
FROM journalist;

-- Query Description: Retrieve the list of events with their attendance numbers.
-- This data is essential for calculating the coverage quality score, which is a product of the journalist's years of experience and the event's attendance.
SELECT Event_Attendance
FROM event;

-- Query Description: Retrieve the current assignments of journalists to events.
-- This data is necessary to understand the current state of assignments and to ensure that the constraints (event coverage requirement and journalist assignment limit) are met.
SELECT assignment
FROM journalist_event_assignment;

-- Query Description: Calculate the total number of assignments per journalist.
-- This aggregated data helps in enforcing the constraint that no journalist can be assigned to more than their maximum number of events.
SELECT journalist_id, COUNT(*) AS total_assignments
FROM journalist_event_assignment
WHERE assignment = 1
GROUP BY journalist_id;

-- Query Description: Calculate the total number of journalists assigned to each event.
-- This aggregated data ensures that the constraint of each event being covered by at least one journalist is met.
SELECT event_id, COUNT(*) AS total_journalists
FROM journalist_event_assignment
WHERE assignment = 1
GROUP BY event_id;

-- Query Description: Retrieve the potential coverage quality for each journalist-event pair.
-- This data is crucial for the objective function, as it represents the product of the journalist's years of experience and the event's attendance, which is to be maximized.
SELECT j.Years_working * e.Event_Attendance AS coverage_quality
FROM journalist j
CROSS JOIN event e;

-- Query Description: Retrieve the list of journalists who have not yet reached their maximum assignment limit.
-- This data is important for identifying which journalists are still available for additional assignments, ensuring that the journalist assignment limit constraint is not violated.
SELECT j.Years_working, j.max_assignments, COUNT(jea.assignment) AS current_assignments
FROM journalist j
LEFT JOIN journalist_event_assignment jea ON j.journalist_id = jea.journalist_id AND jea.assignment = 1
GROUP BY j.journalist_id
HAVING COUNT(jea.assignment) < j.max_assignments;

-- Query Description: Retrieve the list of events that are not yet covered by any journalist.
-- This data is important for ensuring that the event coverage requirement constraint is met, by identifying events that still need to be assigned to journalists.
SELECT e.event_id
FROM event e
LEFT JOIN journalist_event_assignment jea ON e.event_id = jea.event_id AND jea.assignment = 1
WHERE jea.assignment IS NULL;
```

### Explanation:
1. **Journalist Data**: Retrieves the years of experience and maximum assignment limits for each journalist, which are essential for calculating the objective function and enforcing constraints.
2. **Event Data**: Retrieves the attendance numbers for each event, which are necessary for calculating the coverage quality score.
3. **Current Assignments**: Retrieves the current state of assignments, which is important for understanding the current allocation and ensuring constraints are met.
4. **Total Assignments per Journalist**: Aggregates the number of assignments per journalist to ensure that no journalist exceeds their maximum assignment limit.
5. **Total Journalists per Event**: Aggregates the number of journalists assigned to each event to ensure that each event is covered by at least one journalist.
6. **Potential Coverage Quality**: Calculates the potential coverage quality for each journalist-event pair, which is the product of the journalist's years of experience and the event's attendance.
7. **Available Journalists**: Identifies journalists who have not yet reached their maximum assignment limit, ensuring that the assignment limit constraint is not violated.
8. **Uncovered Events**: Identifies events that are not yet covered by any journalist, ensuring that the event coverage requirement constraint is met.

These queries collectively provide the necessary data to formulate and solve the optimization problem, ensuring that the objective function is maximized while adhering to the constraints.
