# Routing: Capacitated Vehicle Routing Problem¶

Direct download AIMMS Project CVRP.zip

Problem type: MIP (medium)

Keywords: Subtour elimination, Miller-Tucker-Zemlin, incumbent callback, network object

Description: The Vehicle Routing Problem (VRP) deals with the distribution of goods between depots and customers using vehicles. In the Capacitated VRP the vehicles have a limited capacity. The model formulation in this project uses the three-index vehicle flow model of Toth and Vigo (2002), denoted by VRP4 on pp. 15-16. In this project two variants on this formulation are used. In the first variant the constraint (1.33) is replaced by the Miller-Tucker-Zemlin constraints (1.37) and (1.38). In the second variant it is replaced by the subtour elimination constraints (1.36).

This project uses the data instance ‘E-n23-k3’ from the Christofides and Eilon set at http://neo.lcc.uma.es/vrp/

References: Toth, P., and D. Vigo, An Overview of Vehicle Routing Problems, In: The Vehicle Routing Problem, P. Toth and D. Vigo (eds), SIAM Monographs on Discrete Mathematics and Applications, Philadelphia, 2002, pp. 1-26