Operational planning and long term planning for companies are more complex in recent years. Information changes fast, and the decision making is a hard task.Therefore, optimization algorithms (operations research) are used to find optimal solutions for these problems. Professionals in this field are one of the most valued in the market.

In this course you will learn what is necessary to solve problems applying Mathematical Optimization and Metaheuristics:

• Linear Programming (LP)

• Mixed-Integer Linear Programming (MILP)

• NonLinear Programming (NLP)

• Mixed-Integer Linear Programming (MINLP)

• Genetic Algorithm (GA)

• Multi-Objective Optimization Problems with NSGA-II (an introduction)

• Particle Swarm (PSO)

• Constraint Programming (CP)

• Second-Order Cone Programming (SCOP)

• NonConvex Quadratic Programmin (QP)

The following solvers and frameworks will be explored:

• Solvers: CPLEX – Gurobi – GLPK – CBC – IPOPT – Couenne – SCIP

• Frameworks: Pyomo – Or-Tools – PuLP – Pymoo

• Same Packages and tools: Geneticalgorithm – Pyswarm – Numpy – Pandas – MatplotLib – Spyder – Jupyter Notebook

Moreover, you will learn how to apply some linearization techniques when using binary variables.

In addition to the classes and exercises, the following problems will be solved step by step:

• Optimization on how to install a fence in a garden

• Route optimization problem

• Maximize the revenue in a rental car store

• Optimal Power Flow: Electrical Systems

• Many other examples, some simple, some complexes, including summations and many constraints.

The classes use examples that are created step by step, so we will create the algorithms together.

Besides this course is more focused in mathematical approaches, you will also learn how to solve problems using artificial intelligence (AI), genetic algorithm, and particle swarm.

Don't worry if you do not know Python or how to code, I will teach you everything you need to start with optimization, from the installation of Python and its basics, to complex optimization problems. Also, I have created a nice introduction on mathematical modeling, so you can start solving your problems.

I hope this course can help you in your carrier. Yet, you will receive a certification from Udemy.

Operations Research | Operational Research | Mathematical Optimization

See you in the classes!