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I have a doubt on the cyclic executive approach for scheduling on real time systems. From Alan Burns's book Real-time Systems and Programming Languages.

This final property represents one of the major drawbacks of the cyclic executive approach; others include (Locke,1992) [...] the difficulty of incorporating processes with long periods; the major cycle time is the maximum period that can be accommodated without secondary schedules [...]

Why is it a difficulty to incorporate processes with long periods?

Also I'm reading some notes that claim:

If the periods are of different sizes the number of minor cycles becomes too big.

Can anybody give me an example of this case?

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