Chapter
Interval Methods of Global Constrained Optimization
Definitions and Notations
Intervals and Interval Vectors
Interval Function Extension
Interval Minimization Problem Statement
Inversed Interval Optimization Algorithms
Method of Direct Image Dichotomy
Step-by-Step Description of the Algorithm
Method of Virtual Values Cutoff
Step-by-Step Description of the Algorithm
Method of Virtual Values Stochastic Cutoff
Step-by-Step Description of the Algorithm
Method of Stochastic Pullout
Step-by-Step Description of the Algorithm
Generalized Inversed Method
Check Operator Algorithms
Compress Operator Algorithms
Step-by-Step Description of the Generalized Inversed Method
Meta-Heuristic Optimization Algorithms
Method of Average Path Endings
Step-by-Step Description of the Algorithm
Method of Stochastic Grid
Step-by-Step Description of the Algorithm
Step-by-Step Description of the Algorithm
Interval Genetic Algorithm (IGA)
Step-by-Step Description of the Algorithm
Interval Explosion Search (IES)
Step-by-Step Description of the Algorithm
Adaptive Interval Algorithm (AIA)
Step-by-Step Description of the Algorithm
Appendix to Adaptive Interval Algorithm
Self-Organizing Interval Bacterial Colony Evolution Algorithm (SOIBCEA)
Step-by-Step Description of the Algorithm
Point Generation Procedures
Optimization Benchmark Tests
Technical System Design Problems
High Pressure Vessel Design
Tension/Compression Spring Design
Applications of Interval Analysis in Computer Graphics
Applications of Interval Computations in Computer Graphics
Possible Future Applications of Interval Computations in Computer Graphics
Workspace Analysis and Design of Cable-Driven Parallel Manipulators
2. Interval Solving of Wrench-Feasibility
2.1. The Equilibrium in Its Interval Form
2.2. Wrench-Feasibility of the Equilibrium
3. Workspace Analysis of Cable Robots
4. Design of Cable Robots for a Desired Workspace