Mixed-integer linear and nonlinear programming
Scanned 9/2/2026
Install to Claude Code
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---
name: mixed-integer-optimization
description: Mixed-integer linear and nonlinear programming
allowed-tools:
- Bash
- Read
- Write
- Edit
- Glob
- Grep
metadata:
specialization: mathematics
domain: science
category: optimization
phase: 6
graph:
domains: [domain:mathematics]
specializations: [specialization:computational-mathematics]
skillAreas: [skill-area:np-hard-heuristics, skill-area:mathematical-reasoning, skill-area:dynamic-programming]
workflows: [workflow:experiment-design]
roles: [role:computational-scientist, role:research-engineer]
---
# 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
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