Optimal Charging and Repositioning of Electric Vehicles in a Free-Floating Carsharing System

•A detailed description of a new problem emerging in carsharing systems.•A novel mathematical model for the problem of charging and repositioning electric vehicles in a free-floating carsharing system.•A Hybrid Genetic Search with Adaptive Diversity Control algorithm (HGSADC) capable of solving instances of size compatible with real-life problems.•Results showing the effectiveness of the proposed algorithm and that combining charging and repositioning yields advantages.