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The Vehicle Routing Problem (VRP) is amongst the most well known combinatorial optimization problems. The most classical version of the VRP, the Capacitated VRP (CVRP) (Laporte, 2007), can be described as follows. A fleet of vehicles with uniform capacity must serve customers with known demand for a single commodity. The vehicles start and end their routes at a common depot and each customer must be served by exactly one vehicle. The objective is to assign a sequence of customers to each vehicle of the fleet (a route), minimizing the total distance traveled, such that all customers are served and the total demand served by each vehicle does not exceed its capacity. Note that the VRP generalises the well-known traveling salesman problem (TSP) and is therefore computationally intractable.

VRPy: A Python package for solving a range of vehicle routing problems with a column generation approach