Single-Objective Optimization for...
Transcript of Single-Objective Optimization for...
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Single-ObjectiveOptimization for Architecture
Guilherme Ilunga
Instituto Superior Técnico, University of Lisbon
February 2019
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Agenda
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Agenda
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Agenda
• Introduction
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Agenda
• Introduction
• Optimization
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Agenda
• Introduction
• Optimization
• Automated Optimization Framework
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Agenda
• Introduction
• Optimization
• Automated Optimization Framework
• Evaluation
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Agenda
• Introduction
• Optimization
• Automated Optimization Framework
• Evaluation
• Conclusions
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Introduction
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Current Design Process
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Current Design Process
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Current Design Process
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Current Design Process
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Current Design Process
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Current Design Process
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What we would like
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What we would like
• Avoid repeating the process
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What we would like
• Avoid repeating the process
• Find the best variation of the design
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What we would like
• Avoid repeating the process
• Find the best variation of the design
• How?
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The 3 stages of the process
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The 3 stages of the process
Design
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The 3 stages of the process
Design Analysis
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The 3 stages of the process
Design Analysis Optimization
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The 3 stages of the process
Design Analysis Optimization
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Making changes
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Making changes
• The process requires changing the design
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Making changes
• The process requires changing the design
• Complex designs require complex changes
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Making changes
• The process requires changing the design
• Complex designs require complex changes
• How to make this easy?
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Algorithmic Design (AD)
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Algorithmic Design (AD)
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Algorithmic Design (AD)
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Algorithmic Design (AD)
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AD Tools: Grasshopper3D
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AD Tools: Grasshopper3D
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AD Tools: Grasshopper3D
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AD Tools: Rosetta
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AD Tools: Rosetta
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The 3 stages of the process
Design Analysis Optimization
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The 3 stages of the process
Design Analysis Optimization
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Evaluating performance
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Evaluating performance
• AD allows generating several variations of a design
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Evaluating performance
• AD allows generating several variations of a design
• Which one is best?
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Evaluating performance
• AD allows generating several variations of a design
• Which one is best?
• Analysis tools can be used
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Analysis Tools: Radiance
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Analysis Tools: Radiance
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Analysis Tools: Robot
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Analysis Tools: Robot
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Algorithmic Design and Analysis (ADA)
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Algorithmic Design and Analysis (ADA)
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The 3 stages of the process
Design Analysis Optimization
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The 3 stages of the process
Design Analysis Optimization
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Which variations should be generated?
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Which variations should be generated?
• ADA allows generating and evaluating variations
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Which variations should be generated?
• ADA allows generating and evaluating variations
• Evaluations take time, should use acquired knowledge
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Which variations should be generated?
• ADA allows generating and evaluating variations
• Evaluations take time, should use acquired knowledge
• Use optimization
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What is optimization?
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What is optimization?
𝑚𝑖𝑛𝑖𝑚𝑖𝑧𝑒 𝑓𝑖 𝑥 , 𝑖 = 1, 2, … , 𝐼
𝑠𝑢𝑏𝑗𝑒𝑐𝑡 𝑡𝑜 ℎ𝑗 𝑥 = 0, (𝑗 = 1, 2, … , 𝐽)
𝑔𝑘 𝑥 ≤ 0, (𝑘 = 1, 2,… , 𝐾)
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The 3 stages of the process
Design Analysis Optimization
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The 3 stages of the process
Design Analysis Optimization
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Dissertation Objectives
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Dissertation Objectives
• Study existing optimization algorithms
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Dissertation Objectives
• Study existing optimization algorithms
• Propose an automated optimization framework
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Dissertation Objectives
• Study existing optimization algorithms
• Propose an automated optimization framework
• Evaluate the framework with case studies
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Optimization
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Choosing an algorithm
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Choosing an algorithm
• Hundreds of optimization algorithms
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Choosing an algorithm
• Hundreds of optimization algorithms
• How to choose among them?
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Choosing an algorithm
• Hundreds of optimization algorithms
• How to choose among them?
• Focus on their properties
![Page 69: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/69.jpg)
Properties of algorithms
![Page 70: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/70.jpg)
Properties of algorithms
Single-Objective vs Multi-Objective
![Page 71: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/71.jpg)
Properties of algorithms
Single-Objective vs Multi-Objective
Deterministic vs Stochastic
![Page 72: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/72.jpg)
Properties of algorithms
Single-Objective vs Multi-Objective
Deterministic vs Stochastic
Global vs Local
![Page 73: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/73.jpg)
Properties of algorithms
Single-Objective vs Multi-Objective
Deterministic vs Stochastic
Global vs Local
Derivative-based vs Derivative-free
![Page 74: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/74.jpg)
Properties of algorithms
Single-Objective vs Multi-Objective
Deterministic vs Stochastic
Global vs Local
Derivative-based vs Derivative-free
![Page 75: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/75.jpg)
Derivative-free Optimization Algorithms
![Page 76: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/76.jpg)
Derivative-free Optimization Algorithms
• Direct-search algorithms
![Page 77: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/77.jpg)
Derivative-free Optimization Algorithms
• Direct-search algorithms
• Metaheuristics
![Page 78: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/78.jpg)
Derivative-free Optimization Algorithms
• Direct-search algorithms
• Metaheuristics
• Model-based algorithms
![Page 79: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/79.jpg)
DIRECT Algorithm
![Page 80: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/80.jpg)
DIRECT Algorithm
Set centerpoint
![Page 81: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/81.jpg)
DIRECT Algorithm
Set centerpoint
X
Y
![Page 82: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/82.jpg)
DIRECT Algorithm
Subdivide dimensions
Set centerpoint
X
Y
![Page 83: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/83.jpg)
DIRECT Algorithm
Subdivide dimensions
Set centerpoint
X
Y
X
Y
![Page 84: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/84.jpg)
DIRECT Algorithm
Subdivide dimensions
Set centerpoint
`
X X
YY
![Page 85: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/85.jpg)
DIRECT Algorithm
Subdivide dimensions
Set centerpoint
X X
YY
![Page 86: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/86.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Subdivide dimensions
Set centerpoint
X X
YY
![Page 87: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/87.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Subdivide dimensions
Set centerpoint
Y
XX X
YY
![Page 88: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/88.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Subdivide dimensions
Set centerpoint
Y
XX X
YY
![Page 89: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/89.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Subdivide dimensions
Set centerpoint
Y
XX X
YY
![Page 90: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/90.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
XX X
YY
![Page 91: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/91.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
X
Y
XX X
YY
![Page 92: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/92.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
X
Y
XX X
YY
![Page 93: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/93.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
X
Y
XX X
YY
![Page 94: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/94.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
X
Y
XX X
YY
![Page 95: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/95.jpg)
DIRECT Algorithm
Sample each hyperrectangle
Choose best hyperrectangle
Subdivide dimensions
Set centerpoint
Y
X
Y
X
Y
XX
Y
![Page 96: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/96.jpg)
Genetic Algorithm
![Page 97: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/97.jpg)
Genetic Algorithm
Create Population
![Page 98: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/98.jpg)
Genetic Algorithm
Create Population
Y
X
![Page 99: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/99.jpg)
Genetic Algorithm
Create Population
X
Y
![Page 100: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/100.jpg)
Genetic Algorithm
Create Population
Evaluate Population
X
Y
![Page 101: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/101.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
X
Y
![Page 102: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/102.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
X
Y
X
Y
![Page 103: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/103.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Y
X
Y
X
![Page 104: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/104.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Y
X
Y
X
![Page 105: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/105.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Y
X
Y
X
Y
X
![Page 106: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/106.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Y
X
Y
X
Y
X
![Page 107: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/107.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
Y
X
Y
X
Y
X
![Page 108: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/108.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
Y
X
Y
X
Y
X
Y
X
![Page 109: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/109.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
Y
X
Y
X
Y
X
Y
X
![Page 110: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/110.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
Y
X
Y
X
Y
X
Y
X
![Page 111: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/111.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
Y
X
Y
X
Y
X
Y
X
![Page 112: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/112.jpg)
Genetic Algorithm
Create Population
Evaluate Population
Select Parents
Create Children
Mutate Population
![Page 113: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/113.jpg)
Genetic Algorithm
CreatePopulation
Evaluate Population
Select Parents
Create Children
Mutate Population
• Random?• Gaussian?• Uniform?• …
• Random?• Best?• Tournament?• …
• One Point?• Two Point?• Uniform?• …
• Shuffle?• Gaussian?• Uniform?• …
![Page 114: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/114.jpg)
Simple Surrogate Algorithm
![Page 115: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/115.jpg)
Simple Surrogate Algorithm
Sample n points
![Page 116: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/116.jpg)
Simple Surrogate Algorithm
Sample n points
Value
X
![Page 117: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/117.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Value
X
![Page 118: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/118.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Value
X
Value
X
![Page 119: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/119.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Value
X
Value
X
![Page 120: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/120.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Value
X
Value
X
![Page 121: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/121.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Value
X
Value
X
Value
X
![Page 122: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/122.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Value
X
Value
X
Value
X
![Page 123: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/123.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Value
X
Value
X
Value
X
![Page 124: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/124.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Value
X
Value
X
Value
X
Value
X
![Page 125: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/125.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Value
X
Value
X
Value
X
Value
X
![Page 126: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/126.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Decrease Bounds
Value
X
Value
X
Value
X
Value
X
![Page 127: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/127.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Decrease Bounds
Value
X
Value
X
Value
X
Value
X
Value
X
![Page 128: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/128.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Decrease Bounds
Value
X
Value
X
Value
X
Value
X
Value
X
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Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Decrease Bounds
Value
X
Value
X
Value
X
Value
X
Value
X
![Page 130: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/130.jpg)
Simple Surrogate Algorithm
Sample n points
Update Surrogate
Optimize Surrogate
Evaluate k solutions
Decrease Bounds
Value
X
Value
X
Value
X
Value
X
Value
X
![Page 131: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/131.jpg)
Automated Optimization Framework
![Page 132: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/132.jpg)
Automated Optimization Process
![Page 133: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/133.jpg)
Automated Optimization Process
![Page 134: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/134.jpg)
Automated Optimization Process
![Page 135: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/135.jpg)
Simple Code
![Page 136: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/136.jpg)
Simple Code
![Page 137: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/137.jpg)
Simple Code
![Page 138: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/138.jpg)
Simple Code
![Page 139: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/139.jpg)
Simple Code
![Page 140: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/140.jpg)
Simple Code
![Page 141: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/141.jpg)
Simple Code
![Page 142: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/142.jpg)
Simple Code
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Visualizing the result
![Page 144: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/144.jpg)
Visualizing the result
![Page 145: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/145.jpg)
Visualizing the result
![Page 146: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/146.jpg)
Visualizing the result
![Page 147: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/147.jpg)
Visualizing the result
![Page 148: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/148.jpg)
Evaluation
![Page 149: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/149.jpg)
Structural Optimization case study
![Page 150: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/150.jpg)
Structural Optimization case study
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Structural Optimization Results
![Page 152: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/152.jpg)
Structural Optimization Results
![Page 153: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/153.jpg)
Structural Optimization Results
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Conclusions
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Conclusions
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Conclusions
• Optimization is useful for architecture
![Page 157: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/157.jpg)
Conclusions
• Optimization is useful for architecture
• The Genetic Algorithm is not a good choice
![Page 158: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/158.jpg)
Conclusions
• Optimization is useful for architecture
• The Genetic Algorithm is not a good choice
• The framework enables the usage of several algorithms
![Page 159: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/159.jpg)
Contributions
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Contributions
• Caetano, I., Ilunga, G., Belém, C., Aguiar, R., Feist, S., Bastos, F., & Leitão, A. (2018). Case Studies on the Integration of Algorithmic Design Processes in Traditional Design Workflows. 23rd CAADRIA Conference, Beijing, China.
• Ilunga, G., & Leitão, A. (2018). Derivative-free Methods for Structural Optimization. 36th eCAADe Conference, Lodz, Poland.
![Page 161: Single-Objective Optimization for Architectureweb.ist.utl.pt/.../2019_Single-ObjectiveOptimizationForArchitecture.pdf · Single-Objective Optimization for Architecture Guilherme Ilunga](https://reader033.fdocuments.in/reader033/viewer/2022053011/5f0f164d7e708231d4426d1a/html5/thumbnails/161.jpg)
Questions?