A vehicle has at least one component which is cooled by a cooling air mass flow delivered from a conveying device such as a fan or a spoiler. A nominal value is predetermined for the cooling air mass flow which, for an assumed maximum thermal loading of the component, cools adequately for operation of the component. A control device controls an intensity of the cooling air mass flow and dimensions it, taking into consideration thermal demands of the component at least in an upper driving speed range, such that a sum of a power consumption of the component, of the conveying device and of a portion of a traction power of the vehicle that is allotted to the delivery of the cooling air mass flow is smaller than a sum of the power consumption of the component, the conveying device and the portion that is allotted to the delivery of the cooling air mass flow at the predetermined nominal value thereof, of a traction power of the vehicle.