For a strategy to trade, the following four things are required:
1) FXCM Trading Station must be running.
2) You must be logged into your account in FXCM Trading Station.
3) The market has to be open, i.e., no stale/grayed out pricing.
4) The strategy has to be in running state.
If you power down your machine then Trading Station will stop running and so will your strategy.
If you log out of Trading Station then your strategy will stop running.