Data structure for non-overlapping ranges within a single dimension

Question

I need a data structure that can store non-overlapping ranges within a single dimension. The entire range of the dimension need not be completely covered.

An example

Answer 1

I've had success storing a beginning time and duration. The test for overlap would be something like

WHERE NOT EXISTS (
   SELECT 1 FROM table
   WHERE BeginTime < NewBeginTime AND BeginTime + Duration > NewBeginTime
)
AND NOT EXISTS (
   SELECT 1 FROM table
   WHERE NewBeginTime < BeginTime AND NewBeginTime + NewDuration > BeginTime
)

I think without testing, but hopefully you get the drift