Agent Skills: Mixed-Integer Optimization

Mixed-integer linear and nonlinear programming

optimizationID: a5c-ai/babysitter/mixed-integer-optimization

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plugins/babysitter/skills/babysit/process/specializations/domains/science/mathematics/skills/mixed-integer-optimization/SKILL.md

Skill Metadata

Name
mixed-integer-optimization
Description
Mixed-integer linear and nonlinear programming

Mixed-Integer Optimization

Purpose

Provides capabilities for formulating and solving mixed-integer linear and nonlinear programming problems.

Capabilities

  • Branch and bound/cut algorithms
  • MIP formulation techniques
  • Indicator constraints
  • Big-M reformulations
  • Lazy constraints
  • Solution pool generation

Usage Guidelines

  1. Formulation: Use tight formulations with valid inequalities
  2. Big-M Selection: Choose appropriate Big-M values
  3. Branching: Configure branching priorities
  4. Solution Pool: Generate diverse feasible solutions

Tools/Libraries

  • Gurobi
  • CPLEX
  • SCIP
  • CBC