Feature Request: Multi-Dimensional Scoring, Custom Group Sizes, and Advanced Categorical Constraints

[genes3e7]

Problem Statement

The current solver implementation is strictly limited to single-dimensional optimization. Specifically:

1. Single Score Optimization: Groups are balanced using exactly one continuous variable (\Score).
2. Inflexible Separation: Separation constraints are limited to a single boolean flag (appending *\ to names). Real-world scenarios often require balancing multiple categorical tiers (e.g., IPPT results: Gold, Silver, Pass).
3. Rigid Group Sizing: The mathematical model forces even group sizes via
   um_people // num_groups. Asymmetric constraints (e.g., configuring two groups of 3 and two groups of 5) are impossible.
4. No Inclusion Constraints: There is no mechanism to force designated participants into the same group.

Proposed Solution

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Implementation Progress

• Performance Optimization: Advanced Solver Roadmap #39 Performance Optimization: Advanced Solver Roadmap