Both researchers and practitioners in the areas of inventory management and production planning focus on dynamic lot sizing and forecast horizons. With the rise of intelligent manufacturing, big data, cloud computing and artificial intelligence (AI), new challenges and opportunities have emerged in studies of dynamic lot sizing and forecast horizons. Starting from the study of dynamic lot sizing, forecast horizon and their interface, this paper reviews the current state of the literature in this area and provides detailed comments. Based on these current situations and comments, this paper extracts ten hot topics in the research area on dynamic lot sizing and forecast horizons, and then analyzes the current situations, future research directions, and opportunities of these hot topics one by one.