Facility Location Problem

The facility location problem (FLP) is a classic optimization challenge focused on strategically placing facilities (e.g., warehouses, charging stations, sensors) to minimize costs or maximize accessibility, often considering factors like demand, distance, and capacity constraints. Current research emphasizes incorporating real-world complexities, such as uncertain demand (using probabilistic models), network constraints (routing and connectivity), and the strategic behavior of agents (mechanism design). Researchers employ diverse approaches, including reinforcement learning, hybrid evolutionary algorithms, cutting-plane methods, and deep learning techniques to enhance solution speed and quality, particularly for large-scale problems. These advancements have significant implications for logistics, supply chain management, and resource allocation across various sectors.