 Vehicle routing problem

The Vehicle Routing Problem (VRP) is a combinatorial optimization problem that aims to determine the most efficient routes for a fleet of vehicles to deliver goods to a set of customers. It is a fundamental problem in logistics and transportation and has applications in various industries, including delivery services, food distribution, and waste collection. The primary objective of the VRP is to minimize certain costs, such as total distance traveled, time taken, or operational expenses while ensuring that all customer demands are met.