Several methodologies have been developed for the calculation of shut-down dose rates based on the use of the Monte Carlo (MC) technique for particle transport simulations including the rigorous two-step (R2S) approach and its recent R2Smesh extension, the direct one-step (D1S) method which employs one single MC transport simulation both for neutrons and decay gammas, and a rough rule of thumb (RoT) approximation based on neutron flux-to-dose conversion factors. The paper discusses these approaches and their applications to ITER with focus on dose rate estimations for the equatorial Test Blanket and Diagnostic Ports. These applications are complemented by benchmark analyses on shut-down dose rate measurements performed on JET showing the validity of the R2S and D1S approaches.