Advanced Metaheuristic Algorithms and Their Applications in Structural Optimization

Preface
Contents
1 Introduction
	1.1 Introduction
	1.2 Organization of the Present Book
	References
2 Set-Theoretical Shuffled Shepherd Optimization Algorithm for Optimal Design of Reinforced Concrete Cantilever Retaining Wall Structures
	2.1 Introduction
	2.2 Shuffled Shepherd Optimization Algorithm (SSOA)
	2.3 Set-Theoretical Shuffled Shepherd Optimization Algorithm (ST-SSOA)
	2.4 Definition of the Optimization Problem
	2.5 Analysis of Cantilever Retaining Walls
		2.5.1 Active and Passive Earth Pressure Coefficients
		2.5.2 Stability Analysis of Cantilever Retaining Walls
	2.6 Results and Discussion
	2.7 Concluding Remarks
	References
3 Set-Theoretical Variants of the Teaching–Learning-Based Optimization Algorithm for Structural Optimization with Frequency Constraints
	3.1 Introduction
	3.2 Teaching–Learning-Based Optimization (TLBO) Algorithm
	3.3 Set-Theoretical Variants of the Teaching–Learning-Based Optimization Algorithm
		3.3.1 Ordered Set-Theoretical Teaching–Learning-Based Optimization (OST-TLBO) Algorithm
		3.3.2 Set-Theoretical Multi-Phase Teaching–Learning-Based Optimization (STMP-TLBO) Algorithm
	3.4 Formulation of Truss Optimization Problem with Frequency Constraints
	3.5 Numerical Examples
		3.5.1 A 37-Bar Planar Truss
		3.5.2 A 52-Bar Dome Truss
		3.5.3 A 120-Bar Dome Truss
		3.5.4 A 200-Bar Planar Truss
	3.6 Concluding Remarks
	References
4 Enhanced Set-Theoretical Versions of the Shuffled Shepherd Optimization Algorithm for Structural Optimization
	4.1 Introduction
	4.2 Overview of the Shuffled Shepherd Optimization Algorithm (SSOA)
	4.3 Parameter-Free Shuffled Shepherd Optimization Algorithm (PF-SSOA)
	4.4 Set-Theoretical Multi-phase Shuffled Shepherd Optimization Algorithm (STMP-SSOA)
	4.5 Formulation of the Optimization Problems
		4.5.1 Size Optimization of Truss Structures with Frequency Constraints
		4.5.2 Discrete Size Optimization of Steel Frame Structures
	4.6 Numerical Examples
		4.6.1 A 120-Bar Dome-Like Truss
		4.6.2 A 200-Bar Planar Truss
		4.6.3 A 3-Bay 15-Story Steel Frame Structure
		4.6.4 A 3-Bay 24-Story Steel Frame Structure
	4.7 Concluding Remarks
	References
5 Set-Theoretical Metaheuristic Algorithms for Reliability-Based Design Optimization of Truss Structures
	5.1 Introduction
	5.2 Set-Theoretical Variants of the Population-Based Optimization Algorithms
		5.2.1 Set-Theoretical Variants of the Teaching–Learning-Based Optimization Algorithm
		5.2.2 Set-Theoretical Variant of the Shuffled Shepherd Optimization Algorithm
		5.2.3 Set-Theoretical Variant of the Jaya Algorithm
	5.3 System Reliability Analysis of Truss Structures
		5.3.1 Generation of Safety Margins for Truss Structures
		5.3.2 The Branch and Bound Method
		5.3.3 Evaluation of the System Reliability
	5.4 System Reliability-Based Design Optimization of Truss Structures
	5.5 Numerical Examples
		5.5.1 Statically Indeterminate 16-Member Planar Truss
		5.5.2 Statically Indeterminate 65-Member Truss Bridge
		5.5.3 Statically Indeterminate 67-Member Truss Bridge
	5.6 Concluding Remarks
	References
6 Optimal Analysis in the Service of Frequency-Constrained Structural Optimization with Set-Theoretical Jaya Algorithm
	6.1 Introduction
	6.2 Free Vibration Analysis of Structures
	6.3 Efficient Free Vibration Analysis of Cyclic Symmetric Structures
		6.3.1 Structural Matrices in the Cartesian and Cylindrical Coordinate Systems
		6.3.2 Efficient Eigensolution Method for Free Vibration Analysis of Cyclic Symmetric Structures
	6.4 Mathematical Formulation of the Optimization Problem
	6.5 Optimization Algorithms
		6.5.1 Jaya Algorithm
		6.5.2 Set-Theoretical Jaya Algorithm
	6.6 Results and Discussion
		6.6.1 A 600-Bar Single-Layer Dome-Like Truss
		6.6.2 A 1410-Bar Double-Layer Dome-Like Truss
	6.7 Concluding Remarks
	References
7 Discrete Structural Optimization with Set-Theoretical Jaya Algorithm
	7.1 Introduction
	7.2 Structural Optimization with Discrete Design Variables
	7.3 Classical Jaya Algorithm (JA)
	7.4 Set-Theoretical Jaya Algorithm (ST-JA)
	7.5 Numerical Examples
		7.5.1 A 72-Bar Spatial Truss Structure
		7.5.2 A 47-Bar Planar Power Line Tower
		7.5.3 A 52-Bar Planar Truss Structure
		7.5.4 A 160-Bar Spatial Truss Structure
	7.6 Concluding Remarks
	References
8 Enhanced Forensic-Based Investigation Algorithm
	8.1 Introduction
	8.2 Forensic-Based Investigation (FBI) Algorithm
		8.2.1 Forensic Investigation Process
		8.2.2 Mathematical Model
	8.3 Enhanced Forensic-Based Investigation (EFBI)
	8.4 Formulation of the Optimization Problem
	8.5 Numerical Examples
		8.5.1 A 52-Bar Dome-Like Truss
		8.5.2 A 120-Bar Dome-Like Truss
		8.5.3 A 600-Bar Dome-Like Truss
	8.6 Concluding Remarks
	References
9 Improved Slime Mould Algorithm
	9.1 Introduction
	9.2 Overview of the Slime Mould Algorithm (SMA)
	9.3 Proposed Improved Slime Mould Algorithm (ISMA)
	9.4 Formulation of the Optimization Problem
	9.5 Numerical Examples
		9.5.1 A 600-Bar Dome-Like Truss
		9.5.2 A 1180-Bar Dome-Like Truss
		9.5.3 A 1410-Bar Dome-Like Truss
	9.6 Concluding Remarks
	References
10 Improved Arithmetic Optimization Algorithm
	10.1 Introduction
	10.2 Overview of the Arithmetic Optimization Algorithm (AOA)
		10.2.1 Initialization Phase
		10.2.2 Exploration Phase
		10.2.3 Exploitation Phase
	10.3 Proposed Improved Arithmetic Optimization Algorithm (IAOA)
	10.4 Structural Optimization with Discrete Design Variables
	10.5 Numerical Examples
		10.5.1 A 72-Bar Space Truss
		10.5.2 A 384-Bar Double-Layer Barrel Vault
		10.5.3 A 3-Bay 15-Story Steel Frame
	10.6 Application to High-Dimensional Structural Optimization Problems
	10.7 Concluding Remarks
	References