Planning and scheduling are important functions for industrial systems to operate effectively. Their principal aim is to detail how production resources will be used so that its demand is timely met. In literature, there are several works that propose mathematical models for production planning and scheduling for different production scenarios, accounting for different resources configurations and other limitations. However, it was only recently that advanced planning and scheduling systems (APS), making use of these models, started being more widely used and discussed. This work presents the results of a systematic literature review, developed by applying the ProKnow-C method, on APS systems. An overview of the main publications is provided, classifying them in new methods, models or approaches; heuristic approaches; Lagrangian relaxation techniques; and genetic algorithms. The future of APS systems is also discussed, particularly regarding difficulties such as human dependence, use of spreadsheets, and their role in Industry 4.0 with the use of technologies such as the RFID and Cloud computing.