Over the past 20 years, the IEC and the IAEA have published several Technical Documents describing recommended methods for carrying out accelerated radiation plus temperature aging of safety related cable materials in nuclear power plant environments. The methods described include the power law method, the time-dependent model, the DED approach and the Simplified Method approach. Because of the expected and observed changes in chemistry that occur as aging conditions transition radiation-temperature space, we highlight significant issues with the time-dependent and Simplified Method approaches. The DED approach and a recent modification (the MAC approach) can successfully handle the observed changes in chemistry for many important cable materials and therefore offer more confident accelerated simulations. Problems with the power law method are then briefly described. Also discussed are the significant issues that occur when trying to simulate the aging of semi-crystalline cable materials (e.g., EP, XLPE and XLPO) that show inverse-temperature effects. For these materials, degradation rates under radiation can increase as the aging temperature drops below ~60?, in temperature regions where typical ambient aging conditions occur. A possible approach for dealing with such materials is suggested.