Optimization Techniques in Motion Planning

The field of motion planning is witnessing significant advancements with the development of innovative optimization techniques. Researchers are focusing on improving the efficiency and effectiveness of sampling-based planners, which are crucial in robotics and other areas. The introduction of new heuristics, such as direction-informed and force-directed approaches, is enhancing the convergence rate and solution quality of motion planning algorithms. Furthermore, the integration of machine learning and fuzzy logic is enabling adaptive and environment-aware planning. Noteworthy papers include: Direction Informed Trees (DIT*) which proposes a novel sampling-based planner that focuses on optimizing the search direction for each edge. APT* which introduces adaptively prolated elliptical r-nearest neighbors to dynamically modulate the path searching process based on environmental feedback. Genetic Informed Trees (GIT*) which improves upon Effort Informed Trees (EIT*) by integrating a wider array of environmental data to refine heuristic functions for better guidance. Deep Fuzzy Optimization for Batch-Size and Nearest Neighbors which introduces Learning-based Informed Trees (LIT*), a sampling-based deep fuzzy learning-based planner that dynamically adjusts batch size and nearest neighbor parameters to obstacle distributions in the configuration spaces.

Sources

Max-Min and 1-Bounded Space Algorithms for the Bin Packing Problem

Direction Informed Trees (DIT*): Optimal Path Planning via Direction Filter and Direction Cost Heuristic

A goal-driven ruin and recreate heuristic for the 2D variable-sized bin packing problem with guillotine constraints

Elliptical K-Nearest Neighbors -- Path Optimization via Coulomb's Law and Invalid Vertices in C-space Obstacles

Tree-Based Grafting Approach for Bidirectional Motion Planning with Local Subsets Optimization

APT*: Asymptotically Optimal Motion Planning via Adaptively Prolated Elliptical R-Nearest Neighbors

Genetic Informed Trees (GIT*): Path Planning via Reinforced Genetic Programming Heuristics

Deep Fuzzy Optimization for Batch-Size and Nearest Neighbors in Optimal Robot Motion Planning

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