Complete guide to Modern Mathematical Optimization in GAMS

From Zero to Hero

Created byOptimization Team

Last updated 10/2020

English

What you'll learn

GAMS installation
Model any kind of optimisation (LP, NLP, MILP, MINLP)
Multi-Objective Optimization
Conditional statements
Loop statements

Course content

3 sections • 23 lectures • 2h 56m total length

Before you start this module please have quick look at this video0:27
Before you start this module please have quick look at this video

Optimal Decision Making Elements7:41
In this lecture, you will become familiar with the optimization elements
Objective function
Constraints
Data
GAMS installation6:15
You will learn how to download and install the GAMS
GAMS structure4:56
By this lecture you will learn more about the structure of GAMS
This gives you a big picture of what you can do with GAMS and how GAMS does the optimisation
Sets in GAMS4:55
Parameters in GAMS2:41
What is Table?
How to deal with Tables in GAMS ?
Syntax ?
Scalars in GAMS1:50
What is Scalar?
How to deal with Scalars in GAMS ?
Syntax ?
Table in GAMS1:26
What is Table?
How to deal with Tables in GAMS ?
Syntax ?
Equations in GAMS4:36
How to define equations in GAMS?
What is the syntax ?
Model definition in GAMS14:32
What kind of optimisation models can be solved in GAMS ?
What is my model type ?
Solver selection in GAMS3:10
How to select the appropriate GAMS solver for my model ?
Conditional statements in GAMS32:52
The conditional statement is explained in this lecture
LOOP in GAMS16:20
The loop statement is explained in this lecture
Multiobjective Optimisation in GAMS14:38
Multi-objective optimisation is explained and coded in GAMS

Linear Programming9:30
Linear programming is explained and some examples are solved
Mixed Integer Linear Programming7:51
Mixed Integer Programming is explained and coded in this lecture
Quadratic programming2:49
In a given circle find a rectangle of maximal area.
Cylinder in a Sphere2:31
In a given sphere find a cylinder of maximal volume
Min Travel time3:36
“A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle θ shown in the figure will she minimize her travel time?“
Steiner problem3:15
(Steiner) In the plane of a triangle, find a point such that the sum of its distances to the vertices of the triangle is minimal.
Herons Problem3:02
A and B are two given points on the same side of a line ℓ. Find a point D on ℓ such that the sum of the distances form A to D and from D to B is a minimum.
Shortest path via LP in GAMS19:21
In this lecture you will learn how to code in GAMS for finding the shortest paths between nodes in a graph, which may represent, for example, road networks.
Traveling Sales Person (TSP)7:55
The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city and returns to the origin city?"
Each city should be met only once
Every city should be visited

Requirements

You can start now without any prior knowledge in GAMS

Description

The developed course is suitable for you even if you have no background in programming. The course is devoted to general optimization problems in GAMS.

In this course, you will learn how to use GAMS for solving optimization problems.

First of all, you will learn how to install GAMS on your machine.
What is optimization? What is the objective function? What is the constraint?
You understand the meaning of different errors and the way you should debug them
How to read/write from/to an Excel file
Multi-Objective optimization in GAMS
How to code conditional statements in GAMS
How to code Loop statements in GAMS

Who this course is for:

Engineering
Applied maths
Operation research

Complete guide to Modern Mathematical Optimization in GAMS

What you'll learn

Explore related topics

Course content

Pre-Class note (Read before you start)1 lecture • 1min

Introduction13 lectures • 1hr 56min

Solved Problems in GAMS9 lectures • 1hr

Requirements

Description

Who this course is for: