In the Facility Reservation module, you can limit the number of reservations that can be made by one person by day, week, or month. 

• Go to Facility Reservation > Configurations > Facility Groups. This allows you to group separate facilities together and then apply a Facility Rule (see next item) together.  This is optional.
• Go to Facility Reservation > Configurations > Facility Reservation Rules. This allows you to define the Max Reservation Slots to be applied during a defined Rule Period (day/week/month).
• Now that you’ve completed the setup, go to Facility Reservation > Facilities and go to the Reservation page for each facility.
• Set the Reservation Rule and Reservation Group appropriately for each facility.

Now any reservations placed by your customers will be limited by these configurations.