Sustainability-Reliable Emergency Facility Location Determination with Consideration of Complex Polygonal Barriers and the Risk of Facility Disruption

This paper presents a reliable emergency facility location optimization model that considers complex polygon barriers and the risk of facility disruption. From a sustainable perspective, with capacity, cost, and demand constraints, the model maximizes time satisfaction and minimizes cost as the objective function to determine the optimal facility location and allocation. The paper proposes the barrier path optimization algorithm and the Kepler optimization algorithm (KOA) to solve the model and validates the model and algorithm through simulation experiments of various scales. Finally, the paper conducts a sensitivity analysis of the disruption probability using the control variable method to explore the impact of parameter changes on the decision results and compare the advantages of considering a sustainable perspective versus not considering it. The results show that the model and algorithm designed in this paper can effectively optimize the barrier path and obtain the optimal location-allocation scheme. The research findings will provide mathematical models and methodological strategies for emergency facility location decision-making.