Resource Allocation Optimization of Physical Protection Systems Based on the Stackelberg Game

Introduction: To address the issues of unbalanced resource distribution and resource wastage in traditional physical protection systems, this paper proposes a security modeling analysis method for critical infrastructure based on the Stackelberg game model. Traditional physical protection systems face challenges in achieving optimal resource allocation. Methods: The security system is abstractly modeled using adversary sequence diagrams, with path lengths between security nodes serving as weights. A game theory-based combination weighting method evaluates security resources at each node, while the Dijkstra algorithm identifies the minimum-cost path representing the attacker's optimal strategy. The Minimax algorithm optimizes security resource allocation under two scenarios: with existing resources and with additional resources. Prospect theory is incorporated to calculate prospect values for both parties. Results: Simulation experiments demonstrate the scheme's effectiveness in optimizing security resource allocation and determining optimal investment levels. Discussion: The proposed approach addresses limitations of traditional methods by dynamically modeling attack-defense interactions. Conclusion: This verification confirms the method's practical value in enhancing physical protection systems for critical infrastructure.