Traffic routed through the VDX is not affected. Only traffic to the VDX CPU is affected. As such one option is to ignore delays in responses to pings to VDX ve interface IP addresses.
If the bursts of ARP requests happen to be repeated periodic 1 per second requests from a large number of hosts for a single target host, that is a sign that the large number of hosts are configured to use that target host as some sort of server or destination. In that situation,
removing that target IP address from all client hosts can reduce the bursts of ARP requests that clog up the VDX's BPQ5. If the number of ARP request target hosts is small, configuring the target IPs on any hosts on the network will provide the ARP requesters with a reply that will stop them from flooding the network with ARP requests.
At the network design stage, subnet masks shorter than /24 should generally be avoided. Configuring multiple separate subnets on a single ve interface should also be avoided. Any topology that increases the number of hosts that that can send broadcast frames into a ve interface will also increase the odds of this phenomenon happening.