[Feature Request]: Better periodic task trigger

### Is there an existing issue for the same feature request?

- [X] I have checked the existing issues.

### Is your feature request related to a problem?

_No response_

### Describe the feature you'd like

In `PeriodicTriggerThread`, use better algorithm to improve wake up overhead.

### Describe implementation you've considered

_No response_

### Documentation, adoption, use case

_No response_

### Additional information

_No response_

Locate the PeriodicTriggerThread entry point and read how its current wake-up behavior is implemented. Clarify the target algorithm and measure wake-up overhead before and after the change; done should include an agreed improvement and evidence that periodic triggering still behaves correctly.

Written by the indexing model from the issue text.