The document discusses four main types of operating systems:
1) Real-time operating systems which control machinery and ensure precise timing for operations.
2) Single-user, single-task operating systems which allow one user to do one thing at a time, like Palm OS.
3) Single-user, multi-tasking operating systems like Windows and MacOS which let a single user run multiple programs simultaneously.
4) Multi-user operating systems which allow many users to access computer resources at the same time, requiring balance between users, like Unix, VMS, and MVS.