Diving Into the Vehicle Routing Problem
Blog post from Memgraph
The Vehicle Routing Problem (VRP) is a well-known optimization challenge in logistics, especially relevant for businesses facing dynamic customer demands, such as seasonal spikes in orders. It extends the Traveling Salesperson Problem by involving multiple vehicles that need to efficiently deliver products from a central depot to various locations. VRP is NP-hard, necessitating the use of heuristics or approximation algorithms to find feasible solutions. Variations include Static VRP, where all customer information is known beforehand, and Dynamic VRP, where parameters like request arrival times are unpredictable. More complex models, such as the Dynamic Vehicle Routing Problem with Time Windows (DVRPTW), introduce constraints like service opening hours, aiming to minimize both route length and reaction time. Effective VRP solutions often require modeling concrete data, with synthetic data being generated using processes like the Poisson distribution for request arrivals. The article discusses various approaches to solving VRP, including heuristic methods and batching strategies, which are crucial when dealing with streaming requests. It highlights the importance of adapting routes in real-time to ensure efficient deliveries and maintain customer satisfaction.