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The art of decision making and finding the optimal solution to a problem is getting more and more attention in recent years. In this course, you will learn how to deal with various types of mathematical optimization problems as below:

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The art of decision making and finding the optimal solution to a problem is getting more and more attention in recent years. In this course, you will learn how to deal with various types of mathematical optimization problems as below:

  • Linear Programming (LP)

  • Mixed Integer Linear Programming (MILP)

  • Non-Linear Programming

  • Mixed Integer Non-Linear Programming

  • Multi-Objective Optimization

We start from the beginning that you need to formulate a problem. Therefore, after finishing this course, you will be able to find and formulate decision variables, objective function, constraints and define your parameters. Moreover, you will learn how to develop the model that you formulated in the GAMS environment. Using GAMS, you will learn how to:

  1. Define Sets, Parameters, Scalars, Objective Function & Constraints

  2. Import and read data from an external source (Excel file)

  3. Solve the optimization problem using various solvers such as..

  4. Create a report from your result in GAMS results

  5. Export your results into an external source (Excel file)

  6. Deal with multi-objective problems and solve them using GAMS solvers

In this course, we solve simple to complex optimization examples from engineering, production management, scheduling, transportation, supply chain, and ... areas.

This course is structured based on 3 examples for each of the main mathematical programming sections. In the first two examples, you will learn how to deal with that type of specific problem. Then you will be asked to challenge yourself by developing the challenge problem into GAMS. However, even the challenge problem will be explained and solved with details.

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Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops skills in problem formulation, modeling, and solving techniques
Covers various types of mathematical programming problems, including linear, nonlinear, mixed integer, and multi-objective optimization
Provides hands-on experience in using GAMS, a widely used optimization software
Suitable for beginners who want to learn about mathematical optimization and for intermediate learners who want to strengthen their foundation
May be useful for students in engineering, production management, scheduling, transportation, and supply chain

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Optimization with GAMS: Operations Research Bootcamp A-Z with these activities:
Review previous coursework on optimization
Reviewing previous coursework will help you recall the basics of mathematical optimization and make it easier to understand the content of this course.
Browse courses on Linear Programming
Show steps
  • Gather your notes, assignments, quizzes, and exams from previous optimization courses.
  • Review the materials, focusing on the key concepts and techniques of mathematical optimization.
  • Take practice problems or complete practice quizzes to test your understanding.
Read 'Introduction to Linear Optimization' by Bertsimas and Tsitsiklis
This book provides a comprehensive introduction to linear optimization, which is a fundamental topic in mathematical optimization.
Show steps
  • Read the book thoroughly, taking notes and highlighting important concepts.
  • Complete the exercises and problems at the end of each chapter to test your understanding.
  • Discuss the book with classmates or your instructor to gain different perspectives.
Follow tutorials on GAMS
Following tutorials on GAMS will help you learn the basics of using the software, which you will need to use for assignments and projects in this course.
Show steps
  • Find tutorials on the official GAMS website or other reputable sources.
  • Follow the tutorials step-by-step, practicing the commands and techniques.
  • Complete the exercises or assignments that come with the tutorials to test your understanding.
Four other activities
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Join a study group or discussion forum for this course
Joining a study group or discussion forum will allow you to connect with other students, share ideas, and get help with the course material.
Browse courses on Linear Programming
Show steps
  • Find a study group or discussion forum for this course.
  • Introduce yourself and participate in discussions.
  • Ask questions, share your insights, and collaborate with other students.
Solve practice problems on mathematical optimization
Solving practice problems will help you develop your problem-solving skills and deepen your understanding of the concepts covered in this course.
Browse courses on Linear Programming
Show steps
  • Find practice problems from textbooks, online resources, or your instructor.
  • Solve the problems using the techniques you have learned in the course.
  • Check your solutions against the provided solutions or consult with your instructor if you need help.
Develop a GAMS model for a small optimization problem
Developing a GAMS model for a small optimization problem will help you apply the concepts you have learned in this course to a real-world scenario.
Browse courses on Linear Programming
Show steps
  • Choose a simple optimization problem that you can solve using GAMS.
  • Formulate the problem as a mathematical model, including the objective function, constraints, and decision variables.
  • Create a GAMS model that implements your mathematical model.
  • Solve the model using a GAMS solver.
  • Analyze the results and write a short report summarizing your findings.
Write a blog post or article on a topic related to mathematical optimization
Writing a blog post or article on a topic related to mathematical optimization will help you deepen your understanding of the subject and share your knowledge with others.
Browse courses on Linear Programming
Show steps
  • Choose a topic that you are interested in and that you have a good understanding of.
  • Research the topic and gather information from reputable sources.
  • Organize your thoughts and write a clear and concise blog post or article.
  • Share your blog post or article with others and get feedback.

Career center

Learners who complete Optimization with GAMS: Operations Research Bootcamp A-Z will develop knowledge and skills that may be useful to these careers:
Operations Research Analyst
Operations Research Analysts use advanced analytical techniques, including optimization, to help organizations make better decisions. This course provides a strong foundation in optimization with GAMS, which can be directly applied to the work of an Operations Research Analyst.
Data Scientist
Data Scientists use data to solve problems and make better decisions. This course provides a strong foundation in optimization, which is a key skill for Data Scientists. Optimization can be used to find the best solution to a problem, given a set of constraints, and is used in a variety of data science applications.
Supply Chain Manager
Supply Chain Managers oversee the flow of goods and services from suppliers to customers. This course, with its focus on optimization and problem-solving, can help Supply Chain Managers develop the skills needed to improve the efficiency and effectiveness of their supply chains.
Industrial Engineer
Industrial Engineers design, improve, and install integrated systems of people, materials, information, equipment, and energy. This course, with its focus on optimization and problem-solving, can help Industrial Engineers develop the skills needed to improve processes and increase efficiency in a variety of industries.
Actuary
Actuaries use mathematics and statistics to assess risk and uncertainty. This course, with its focus on optimization and problem-solving, can help Actuaries develop the skills needed to develop and price insurance products.
Transportation Analyst
Transportation Analysts plan and manage the movement of people and goods. This course, with its focus on optimization and problem-solving, can help Transportation Analysts develop the skills needed to improve the efficiency and effectiveness of transportation systems.
Management Consultant
Management Consultants help organizations improve their performance by identifying and solving problems. This course, with its focus on optimization and problem-solving, can help Management Consultants develop the skills needed to succeed in this field.
Business Analyst
Business Analysts help organizations improve their performance by identifying and solving problems. This course, with its focus on optimization and problem-solving, can help Business Analysts develop the skills needed to succeed in this field.
Statistician
Statisticians collect, analyze, and interpret data. This course, with its focus on optimization and problem-solving, can help Statisticians develop the skills needed to use data to make better decisions.
Economist
Economists study the production, distribution, and consumption of goods and services. This course, with its focus on optimization and problem-solving, can help Economists develop the skills needed to analyze economic data and make better economic decisions.
Project Manager
Project Managers plan and manage projects. This course, with its focus on optimization and problem-solving, can help Project Managers develop the skills needed to plan and manage projects more effectively and efficiently.
Financial Analyst
Financial Analysts use financial data to make investment recommendations. This course, with its focus on optimization and problem-solving, can help Financial Analysts develop the skills needed to make better investment decisions.
Software Engineer
Software Engineers design, develop, and maintain software systems. This course, with its focus on optimization and problem-solving, can help Software Engineers develop the skills needed to design and develop more efficient and effective software systems.
Quality Manager
Quality Managers oversee the quality of products and services. This course, with its focus on optimization and problem-solving, can help Quality Managers develop the skills needed to improve the quality of products and services.
Risk Manager
Risk Managers assess and manage risk. This course, with its focus on optimization and problem-solving, can help Risk Managers develop the skills needed to assess and manage risk more effectively.

Reading list

We've selected nine books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Optimization with GAMS: Operations Research Bootcamp A-Z.
Provides a comprehensive overview of linear programming and network flows. It covers the basics of linear programming, as well as more advanced topics such as network flows and integer programming. It valuable resource for anyone who wants to learn more about linear programming and network flows.
Provides a comprehensive overview of nonlinear programming. It covers the basics of nonlinear programming, as well as more advanced topics such as constrained optimization and global optimization. It valuable resource for anyone who wants to learn more about nonlinear programming.
Provides a comprehensive overview of multi-objective optimization. It covers the basics of multi-objective optimization, as well as more advanced topics such as evolutionary algorithms and interactive methods. It valuable resource for anyone who wants to learn more about multi-objective optimization.
Provides a comprehensive overview of optimization in operations research. It covers the basics of optimization, as well as more advanced topics such as network optimization and scheduling. It valuable resource for anyone who wants to learn more about optimization in operations research.
Provides a comprehensive overview of mixed integer nonlinear programming. It covers the basics of mixed integer nonlinear programming, as well as more advanced topics such as branch-and-bound and cutting planes. It valuable resource for anyone who wants to learn more about mixed integer nonlinear programming.
Provides a comprehensive overview of operations research. It covers the basics of operations research, as well as more advanced topics such as linear programming, network flows, and integer programming. It valuable resource for anyone who wants to learn more about operations research.
Provides a comprehensive overview of operations research. It covers the basics of operations research, as well as more advanced topics such as linear programming, network flows, and integer programming. It valuable resource for anyone who wants to learn more about operations research.
Provides a comprehensive overview of linear programming. It covers the basics of linear programming, as well as more advanced topics such as the simplex method and duality theory. It valuable resource for anyone who wants to learn more about linear programming.
Provides a quick start guide to using GAMS. It covers the basics of GAMS, as well as how to solve simple optimization problems. It valuable resource for anyone who wants to learn how to get started using GAMS.

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