It could be due to limitation on number of keep-alive HTTP requests
made on a single TCP connection.
You can try to change the following settings in the domain.xml
<keep-alive max-connections="250" thread-count="1" timeout-in-
seconds="30"/>
instead of "250" - set "-1" for unlimited number of keep-alive requests.
Pls. let us know if it helped.
WBR,
Alexey.