HyperAI

Mixed Integer Linear Programming MILP

Mixed Integer Linear Programming (MILP) is a mathematical optimization technique used to find the maximum or minimum of a linear objective function under a set of linear constraints. MILP is an extension of Linear Programming (LP) that allows some or all variables in the problem to be integers, allowing the model to more accurately describe many real-world problems. In MILP, the objective function and all constraints are linear, so they can be expressed as linear combinations of variables. This planning technique is suitable for scenarios where it is necessary to find the optimal solution under certain constraints, such as production planning, logistics optimization, network design, and resource allocation.