In this paper we present two new heuristic procedures for the Capacitated V
ehicle Routing Problem (CVRP). The first one solves the problem from scratc
h, while the second one uses the information provided by a strong linear re
laxation of the original problem. This second algorithm is designed to be u
sed in a branch and cut approach to solve to optimality CVRP instances. In
both heuristics, the initial solution is improved using tabu search techniq
ues. Computational results over a set of known instances, most of them with
a proved optimal solution, are given.