Embodiments of the present invention include a variety of different integrated, multi-tiered methods and systems for preventing various types of attacks on computer systems, including denial-of-service attacks and SYN-flood attacks. Components of these integrated methods and systems include probabilistic packet droppers, packet-rate throttles, resource controls, automated firewalls, and efficient connection-state-information storage in memory resources and connection-state-information distribution in order to prevent draining of sufficient communications-related resources within a computer system to seriously degrade or disable electronics communications components within the computer system.