Hi,
Half open has default connection timeout as 30 seconds. If there is large amount of half open or embryonic connection then it could be DOS attack. This can impact the performance of the ASA.
You can configure TCP intercept or you can configure threat detection to resolve the issue. Please refer below link for tcp intercept.
https://supportforums.cisco.com/document/12021641/tcp-intercept-feature-asa-device
You can refer the below link for threat detection
http://www.cisco.com/c/en/us/td/docs/security/asa/asa84/configuration/guide/asa_84_cli_config/protect_threat.html#wpxref80031
Thanks,
Shivapramod M
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