a water tank, a pressure source and a plurality of consumers with buffer stores, wherein the plurality of consumers is connected to the water tank by lines and the pressure source;

each consumer of the plurality of consumers with buffer stores having a buffer store for water, a filling valve and a consumer valve, wherein, in each consumer of the plurality of consumers with buffer stores, the filling valve is between a respective buffer store and the pressure source and is configured such that the respective buffer store can be filled by opening the filling valve, and the consumer valve is configured such that water can be removed from the buffer store by opening the consumer valve;

each consumer with a buffer store being configured to transmit at least one state parameter describing a state of the buffer store of a respective consumer to a control system of the water supply system; and

the control system being configured to control opening and closing of the filling valves of the consumers with buffer stores by taking into account the transmitted state parameters such that removal of water from the water tank by the pressure source does not exceed a threshold value at any point in time.