Load Balance HTTP Redirections

Add each of those server+port combos as a pool member. Put a good health check monitor on them that validates they are up correctly.

server1:9081 server1:9082 server2:9083 server2:9084

Example in version 11

ltm pool /Common/POOL_RANDOM_PORTS {
    description "Multiple servers Multiple Ports"
    members {
        /Common/10.10.10.1:9081 {
            address 10.10.10.1
        }
        /Common/10.10.10.1:9082 {
            address 10.10.10.1
        }
        /Common/10.10.10.2:9084 {
            address 10.10.10.2
        }
        /Common/10.10.10.2:9084 {
            address 10.10.10.2
        }
    }
    monitor /Common/http 
}

If the strings for the URL and the response are the same for each pool member, then a standard monitor that gives an accurate up/down will work fine for the server+port availability.

It looks like you have the same string each time. A quick URL re-write iRule will accomplish that. Someone else may know of a better method.

   when HTTP_REQUEST {
     switch -glob [HTTP::uri] {
         "/"      { HTTP::redirect "http://[HTTP::host]/here" }
      }
   }