A compression device particularly suited for DVT prophylaxis includes a disposable wrap and a re-usable controller removably mounted on the wrap to apply a tensioning force to the wrap when it is encircling the limb of a patient. The wrap includes an RF chip with a unique identifier and the controller includes an RF sensor and processor to authenticate the wrap before commencing a compression cycle. A kiosk is provided for storing a plurality of wraps for use by patients and a plurality of controllers to be used with any of the wraps. The processor of each controller can control an electric motor in the controller to tighten and loosen the wrap according to a compression protocol between a pre-tension compression force and maximum compression force. The amount of movement of the wrap changes as the patient's physiology changes while maintaining the pre-tension and maximum compression forces.