## System Overview: Multi-Agent Path Finding (MAPF) Visualization This document details the visualization of a Multi-Agent Path Finding (MAPF) system. The visualization displays agents navigating a grid-based environment, avoiding collisions and reaching their designated goals. ### 1. Environment Representation * **Grid:** The environment is represented as a 2D grid. Each cell in the grid can be either: * **Free Space:** Represents navigable areas. * **Obstacle:** Represents blocked areas that agents cannot traverse. * **Dimensions:** The grid dimensions are configurable (e.g., 20x20, 50x50). * **Visualization:** Free space is typically displayed as white or a light color, while obstacles are displayed as black or a dark color. ### 2. Agent Representation * **Shape:** Agents are visually represented as circles, squares, or other distinct shapes. * **Color:** Each agent is assigned a unique color for easy identification. * **Size:** Agent size is proportional to their radius or dimensions. * **Goal:** Each agent has a designated goal location, marked on the grid with a distinct symbol (e.g., a star, a flag). ### 3. Path Visualization * **Path Lines:** The planned path for each agent is visualized as a series of connected lines. * **Path Color:** Path lines are colored differently from the agent's color to distinguish the planned path from the agent's current position. * **Path Thickness:** Path line thickness can be adjusted for clarity. * **Real-time Updates:** The path visualization updates in real-time as agents move and replan their paths. ### 4. Collision Avoidance Visualization * **Collision Detection:** The system detects potential collisions between agents. * **Collision Warning:** When a potential collision is detected, a visual warning is displayed (e.g., a flashing border around the agents, a highlighted area). * **Resolution:** The visualization shows how the system resolves collisions, such as agents slowing down, stopping, or changing their paths. ### 5. Performance Metrics The visualization can display performance metrics such as: | Metric | Description | | ------------------ | ----------------------------------------- | | **Makespan** | Total time taken for all agents to reach goals | | **Total Cost** | Sum of the distances traveled by all agents | | **Number of Collisions** | Total number of collisions that occurred | | **Computation Time** | Time taken to compute the paths | ### 6. User Interface (UI) Controls * **Start/Pause/Stop:** Buttons to control the simulation. * **Grid Size:** Input field to adjust the grid dimensions. * **Number of Agents:** Input field to adjust the number of agents. * **Agent Speed:** Slider to control the agent's movement speed. * **Algorithm Selection:** Dropdown menu to select different MAPF algorithms (e.g., CBS, ECBS). * **Visualization Options:** Checkboxes or toggles to control the display of paths, collisions, and performance metrics. ### 7. Algorithm Implementations The visualization supports various MAPF algorithms, including: * **Conflict-Based Search (CBS):** A two-level search algorithm that finds optimal solutions. * **Enhanced CBS (ECBS):** An improved version of CBS that reduces search time. * **Prioritized Planning:** An algorithm that prioritizes agents based on their distance to the goal. * **Velocity Obstacles:** An approach that uses velocity obstacles to avoid collisions.