While marine renewable energies have seen some interest over the last years, the electricity supply of maritime remote areas still presents many constraints, such as high costs due to the storage requirements. The constraints related to the reliance show that the energy management system needs some flexibility, which can be done by managing the demand. The strategies based on load shed and load postponement are often considered. In this paper, anticipation based strategies are proposed in the aim to use the excess power for shiftable loads supply and to foster marine energies integration for the electricity supply of remote areas. A multi-source system including solar, wind, tidal and wave energies is considered, in which batteries are used to ensure the demand to be satisfied as much as possible. The developed strategies concern the electric room heaters and water heaters power demand. Significant effects on demand satisfaction, battery lifetime, system sizing and costs are observed in the carried out simulations, showing the positive effects brought by the proposed anticipation based strategies. Moreover, some situations of loss of power supply are avoided thanks to the proposed demand side management strategies.