SUMMARYWith the fast-paced changing technologies in the power industry, new power references addressing new technologies are coming to the market. So there is an urgent need to keep track of international experiences and activities taking place in the field of modern power system restoration problem. This paper gives a bibliographic survey, mathematical formulations, and general background of research and developments in the field of restoration problem for past 35 years, based on more than 150 published articles. The collected literature has been divided into many sections, so that new researchers do not face any difficulty in carrying out research in the area of next-generation restoration problem under any environment.