Scheduling in large switches is challenging. Arbiters must operate at high rates to keep up with the high switching rates demanded by multi-gigabit-per-second link rates and short cells. Low-latency requirements of some applications also challenge the design of schedulers. In this paper, we propose the Parallel Wrapped Wave Front Arbiter with Fast Scheduler (PWWFA-FS). We analyze its performance, present simulation results, discuss its implementation, and show how this scheme can provide low latency under light load while scaling to large switches with multi-terabit-per-second throughput and hundreds of ports. Categories and Subject Descriptors C.2.6 [Computer-Communication Networks]: Internetworking