2019 MCM/ICM LaTeX Template for Mathematical Modeling Competition

In mathematical modeling competitions, particularly the Mathematical Contest in Modeling (MCM/ICM), utilizing LaTeX templates significantly enhances the professionalism and aesthetic quality of paper formatting. The 2019 MCM LaTeX template provides participants with a standardized framework that helps teams organize paper structure more efficiently, preventing distractions caused by formatting issues.

The competition problem focused on optimizing crowd evacuation in public spaces, employing the Simulated Annealing algorithm for solution. Simulated Annealing is a heuristic optimization method inspired by the metallurgical annealing process, suitable for solving complex combinatorial optimization problems. In crowd evacuation scenarios, this algorithm simulates different evacuation path "energy states" and gradually reduces the "temperature" parameter to converge toward optimal evacuation solutions.

Leveraging LaTeX template advantages, the paper clearly presents algorithm workflows, mathematical models, and experimental results through structured sections: Problem Analysis: Describes challenges in crowded public areas, including bottleneck effects and safety risks. Model Construction: Transforms evacuation path planning into objective functions (e.g., minimizing time or conflicts) with defined neighborhood search rules. Algorithm Implementation: Uses Simulated Annealing's acceptance probability mechanism (metropolis criterion) with pseudocode structure: current_solution = initial_solution while temperature > min_temp: new_solution = neighbor(current_solution) if accept(new_solution, current_solution, temperature): current_solution = new_solution temperature *= cooling_rate Visualization Output: Employs LaTeX drawing tools like TikZ to display evacuation path comparisons and convergence curves.

This methodology applies not only to competitions but also extends to practical emergency management scenarios in subway stations, stadiums, and other public facilities.