Mixed-Integer Linear Programming (MILP)

Mixed-Integer Linear Programming (MILP) is a mathematical technique used to find optimal solutions for complex problems involving both continuous choices (like quantities or amounts) and discrete choices (like yes/no, on/off decisions). It involves creating a model with linear equations and inequalities that represent the problem's constraints and objectives. An algorithm then searches for the best combination of decisions that maximizes or minimizes the objective while satisfying all constraints. MILP is widely used in logistics, finance, and manufacturing to optimize resources, schedules, and costs efficiently.