MATLAB Code for Mathematical Modeling of Crowd Evacuation Simulation Using Clock Cycle Method

In mathematical modeling of crowd evacuation, the clock cycle method serves as a commonly used simulation approach that helps researchers better understand crowd behavior patterns. This MATLAB implementation allows for comprehensive simulation studies in this domain. The code architecture accounts for critical factors including personnel density, exit positioning and dimensions, and individual movement patterns. Key algorithmic considerations involve implementing time-step iterations where each clock cycle updates agent positions based on predefined movement rules and environmental constraints. The modeling process requires careful parameterization of variables such as walking speed thresholds, collision avoidance algorithms, and pathfinding mechanisms to ensure accurate results. Through parameter modification capabilities, researchers can simulate various scenarios including emergency conditions, different venue layouts, and behavioral variations, thereby gaining deeper insights into evacuation dynamics and optimization strategies. The implementation typically utilizes matrix operations for spatial representation and object-oriented programming for agent behavior modeling.