HP OpenVMS Guide to System Security: OpenVMS Version 8.4 > Appendix A Assigning Privileges
The base priority is increased by executing the Set Priority ($SETPRI) system service or the DCL command SET PROCESS/PRIORITY. As a rule, this system service lets a process set its own base priority or the base priority of another process. However, one process can set the priority of a second process only if one of the following conditions applies:
With ALTPRI, a process can create a detached process with a priority higher than its own. It creates such a process by using an optional argument to the Create Process ($CREPRC) system service or to the DCL command RUN/PRIORITY.