Concurrent Manager is the main part of an oracle EBS so we have to be proactive with Concurrent Manager's performance issue so best is to schedule below twice in a month or as required for getting optimum concurrent manager.
Gather schema stats request with parameters Schemas = All, Percentage = 99
Analyze all index columns submit it with default options
purge concurrent data keep only 7 days request log/output and delete old ones.
Gather table stats on the following tables and give parameter Schema= APPLSYS and percentage=99
FND_CONCURRENT_PROCESSES
FND_CONCURRENT_PROGRAMS
FND_CONCURRENT_REQUESTS
FND_CONCURRENT_QUEUES