Mixed Integer Linear Programming

Learn what Mixed-Integer Linear Programming MILP is, how it differs from Machine Learning, and how it can solve complex problems in various industries. See an example of product allocation using MILP and Python.

Integer programming is a mathematical optimization or feasibility problem with integer variables. Learn about its canonical and standard form, NP-hardness, variants, and applications in production planning, scheduling, territorial partitioning, and more.

Learn the basics of mixed-integer linear programming, including projections, polyhedra, and the fundamental theorem. See proofs and examples of theorems on the structure and representation of polyhedra.

Learn how to solve complex constrained optimisation problems having discrete variables using Mixed Integer Linear Programming MILP in Python. See a practical example of budgeting problem and its mathematical formulation.

Learn how to solve the knapsack problem, a classic optimization problem with integer variables, using scipy and pyomo. Compare the relaxed and integer formulations and see the results and code examples.

Learn about mixed-integer linear programming MILP, an optimization problem that includes linear objective function and constraints with integer and continuous variables. Find chapters and articles on MILP applications in engineering, energy, and emergency management.

Learn how to solve linear and mixed-integer linear programming problems with MATLAB and Simulink. Find examples, functions, topics, and algorithms for problem-based and solver-based approaches.

Learn how to solve MIP problems using a linear-programming based branch-and-bound algorithm. Understand the concepts of fathomed and incumbent nodes, best bound and gap, and presolve, cutting planes, heuristics, and parallelism.

Learn how MATLAB solves mixed-integer linear programs MILP using linear programming, preprocessing, cut generation, and branch-and-bound methods. Compare different options and strategies for MILP algorithms.

Mixed-Integer Programming Mixed-integer program MIPsome variables may be constrained to be integers, and some may not Objectives amp constraints are still linear! We'll just talk about MIP, since it generalizes IP 19