The collaboration between distribution companies is gaining a great interest in the last years due to the benefit provided to reduce the cost of deliveries. In this work we study the centralized two-echelon collaborative multi -center multi-periodic vehicle routing problem with a specific constraints. In which each distribution center conserves its VIP customers, and each partner keep their delivery scheduling unchangeable. The problem is modelled as a MILP, and to solve it a hybrid algorithm is proposed. This algorithm combines a multi -population memetic algorithm (MPMA) and a variable neighbourhood search algorithm that integrates a tabu search list (VNS-T). The results obtained are compared with those obtained by CPLEX solver and the best known solution of the multi -depot vehicle routing problem (MDVRP).