java.io.IOException: Too many open files in JBoss EAP 7.0

Issue

Occasionally, the following java.io.IOException: Too many open files occurs:

2018-07-04 20:45:50,318 WARN  [org.jboss.modcluster] (UndertowEventHandlerAdapter - 1) 
2018-07-04 20:46:50,452 ERROR [org.xnio.nio.tcp.server] (default Accept) Exception accepting request, closing server channel TCP server (NIO) <7e6f914c>: java.io.IOException: Too many open files
    at sun.nio.ch.ServerSocketChannelImpl.accept0(Native Method)
    at sun.nio.ch.ServerSocketChannelImpl.accept(ServerSocketChannelImpl.java:422)
    at sun.nio.ch.ServerSocketChannelImpl.accept(ServerSocketChannelImpl.java:250)
    at org.xnio.nio.QueuedNioTcpServer.handleReady(QueuedNioTcpServer.java:476)
    at org.xnio.nio.QueuedNioTcpServerHandle.handleReady(QueuedNioTcpServerHandle.java:38)
    at org.xnio.nio.WorkerThread.run(WorkerThread.java:571)