Based on the definition about the idea of Flexible Manufacture Systems(FMS), a three dimensional systematic views to represent the concept of the FMS production planning and scheduling problem is presented firstly. Next,a four-layer framework model of FMS' s production scheduling problem is put forward. Then, the operations research models and techniques in the static and dynamic scheduling of FMS operation are systematically analyzed, and the existing difficulties are pointed out. Finally,a brief introduction about the trend of using other approaches,such as artificial intelligence (AI) and artificial neural network (ANN), to solve the FMS planning and scheduling problems is given.