# Optimization Systems **Domain:** mathematics **Doc Type:** Concept Node **Classification:** Infrastructure Concept **Maturity:** Foundational **Related:** [[Objective Function]], [[Optimization Capacity]], [[Mathematical Foundations]], [[Nonlinear Dynamics]], [[Logistics Optimization]] --- ## Definition **Mathematical frameworks for finding optimal solutions to problems with multiple variables and constraints**, determining parameter settings that maximize or minimize objective functions. Optimization systems balance competing objectives within feasibility constraints. --- ## General Context Linear programming, nonlinear optimization, and constraint satisfaction provide optimization tools across engineering, economics, and planning. Modern optimization handles millions of variables and constraints. --- ## Key Insight Optimization solutions exist only relative to specified objectives and constraints. Shifting constraints produces different optima; impossible constraints yield infeasibility. --- ## See Also [[Model-Based Governance]], [[Computational Governance]], [[The Algorithmic State]], [[Game Theory]], [[Measurement Capacity]]