Introduction to optimization

Decoding Decision Modeling

Tiago Brasil

Lead Data Engineer

Introduction

Optimization involves finding the best solution to a problem by choosing the most effective option from a set of possibilities.

  • By maximizing or minimizing criteria such as:
Decoding Decision Modeling

Introduction

Optimization involves finding the best solution to a problem by choosing the most effective option from a set of possibilities.

  • By maximizing or minimizing criteria such as:

An icon with a pile of yellow coins and the label cost

Decoding Decision Modeling

Introduction

Optimization involves finding the best solution to a problem by choosing the most effective option from a set of possibilities.

  • By maximizing or minimizing criteria such as:

An icon of a clock and the label time

Decoding Decision Modeling

Introduction

Optimization involves finding the best solution to a problem by choosing the most effective option from a set of possibilities.

  • By maximizing or minimizing criteria such as:

An icon of a growing bar graphs, an upward arrow and the label efficiency

Decoding Decision Modeling

Introduction

Optimization involves finding the best solution to a problem by choosing the most effective option from a set of possibilities.

  • By maximizing or minimizing criteria such as:

A collection of four arrows pointing to different directions. Three of those arrows are grayed-out one arrow is green

Decoding Decision Modeling

Optimizing decisions

A diagram centered around a target symbol, representing decision-making. Four arrows point outward from the target in four different directions. The arrows leads to labels and icons of Objectives, Alternatives, Uncertainties and Constraints

Decoding Decision Modeling

Optimizing decisions

A diagram centered around a target symbol, representing decision-making. Four arrows point outward from the target in four different directions. The arrow leading to a label and an icon of Objectives is highlighted in yellow

Decoding Decision Modeling

Optimizing decisions

A diagram centered around a target symbol, representing decision-making. Four arrows point outward from the target in four different directions. The arrow leading to a label and an icon of Alternatives is highlighted in yellow

Decoding Decision Modeling

Optimizing decisions

A diagram centered around a target symbol, representing decision-making. Four arrows point outward from the target in four different directions. The arrow leading to a label and an icon of Constraints is highlighted in yellow

Decoding Decision Modeling

The optimization journey

An icon of a magnifying glass and a target centered in it along with the label Identify the decision factors

Decoding Decision Modeling

The optimization journey

An icon of a diagram and the label build a mathematical model

Decoding Decision Modeling

The optimization journey

An icon of a line graph and its optimal point and the label find the optimal solution

Decoding Decision Modeling

The optimization journey

An icon of a light bulb and an engine next to it and the label implement and monitor the decision

Decoding Decision Modeling

Optimizing a farmer's land

A farmer has a 1,000 ft fence to enclose a rectangular field, with one side bordering a river. Since the river side does not require a fence, the farmer only needs to fence the remaining three sides.

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Optimizing a farmer's land

A farmer has a 1,000 ft fence to enclose a rectangular field, with one side bordering a river. Since the river side does not require a fence, he only needs to fence the remaining three sides.

A drawing of thoughtful farmer

Decoding Decision Modeling

Identifying the decision factors

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Identifying the decision factors

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Identifying the decision factors

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with the label x on the lateral sides and y on the top side

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with the label x with the value 0 and y measuring 1000ft

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with each label x with the value 500 ft and y measuring 0

Decoding Decision Modeling

Building a mathematical model

A drawing of the farmer's rectangular field with each label x with the value 500 ft and y measuring 0

Decoding Decision Modeling

Finding the optimal solution

Label of the mathematical model: A=x(100-2x)and 0<x<500

Decoding Decision Modeling

Finding the optimal solution

The graph of the mathematical model. A parabola with x varying from 0 to 500 and the optimal point highlighted in red with x=250

Decoding Decision Modeling

Finding the optimal solution

A drawing of the farmer's rectangular field with each label x with the value 250 ft

Decoding Decision Modeling

Finding the optimal solution

A drawing of the farmer's rectangular field with each label x with the value 250 ft and y measuring 500ft

Decoding Decision Modeling

Let's practice!

Decoding Decision Modeling

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