Combinatorial optimization

Optimization Foundations / Computer Science Fundamentals

noun phrase

Definition: A field of optimization concerned with finding an optimal solution from a finite or discrete set of feasible solutions, typically over combinatorial structures such as graphs, sets, networks, or integer-valued decision spaces [Erwig, Kumar 2024].

Example in context: “Combinatorial optimization (CO) problems are fundamental in operations research and critical for decision-making across various industries …” [HeurAgenix, 2025]

Synonyms: discrete optimization (near-synonym in many contexts); combinatorial optimization problem solving

Related terms: operations research; discrete optimization; graph optimization; integer programming; feasible solution; optimal solution