Abstract: There are various kinds of flexibility in some workshop in the production process, and the flexibility of the process sequence is one of the important ones. By solving the shop scheduling problem with flexible process sequence, the production efficiency can be greatly improved and the cost can be saved. The research status of the shop scheduling problem with flexible process sequence is analyzed, including mixed shop scheduling problem (MSP), group shop scheduling problem (GSP) and partial shop scheduling problem (PSP). Finally, the development prospects and direction of the shop scheduling problem with flexible process sequence are pointed out.