Difference between Floating and Self Ip's

The non-floating self ips on both big-ips will need access to the backend pool members for health monitoring.

The floating self ips, if configured and using SNAT Automap, for example, will be used for application traffic so may also need firewall rules in place. So floating self ips can be used for servers' default gateways in an inline setup and/or the source address of incoming client traffic if the servers' default gateways is not the bigips.

Hope this helps,

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