I/O requests from hosts in a data storage system are blocked or rate-restricted upon detection of an unbalanced or overload condition in order to prevent timeouts by host computers, and achieve an aggregate reduction of data access latency. The blockages are generally of short duration, and are transparent to hosts, so that host timeouts are unlikely to occur. During the transitory suspensions of new I/O requests, server queues shorten, after which I/O requests are again enabled.