This is Problem 6.16, page 213, Silberschatz and Galvin, Operating System Concepts, fourth edition, Addison-Wesley, 1995.
Write a monitor that implements an alarm clock that enables a
calling program to delay itself for a specified number of time units
(ticks).
You may assume the existence of a real hardware clock,
which invokes a procedure tick in your monitor at regular intervals.
Of course, SR already has nap(ms) and
UNIX C already has sleep(secs).
But don't use these in your monitor.
Fine-tune the starvation-free dining philosophers monitor so that a philosopher becomes very hungry only if its two neighbors alternate their collaborative eating three times.
Write a monitor for the sleeping barber problem. Modify it to support multiple barbers.
Write a monitor for another classical operating systems synchronization problem.