Mathematical Modeling with Optimization, Part 2a: Problem-Based Linear Programming

From the series: Mathematical Modeling with Optimization

Alan Weiss, MathWorks

Use Optimization Toolbox™ to interactively define the optimization problem, variables, objectives, and constraints that represent the list of variables, constraints, and objectives in the mathematical description developed in Part 1 of this series. Show the results of each addition to the optimization problem with the display functions. Solve the problem and analyze the resulting operational plan.

Part 1: From Problem Description to Mathematical Program Transform a problem description into a mathematical program that can be solved using optimization, using a steam and electric power plant example.

6:04

Part 2a: Problem-Based Linear Programming Solve a linear program with Optimization Toolbox solvers and a problem-based approach, using a steam and electric power plant example.

10:46

Part 2b: Solver-Based Linear Programming Solve a linear program using Optimization Toolbox solvers, using a steam and electric power plant example.

4:31

Part 3: Problem-Based Mixed-Integer Linear Programming Through a steel blending example, you will learn how to solve a mixed-integer linear program using Optimization Toolbox solvers and a problem-based approach.

5:15

Part 4: Problem-Based Nonlinear Programming Express and solve a nonlinear optimization problem with the problem-based approach of Optimization Toolbox. Use nonlinear functions in both the objective function and constraints. Solve with an automatically selected solver.