In this paper, we aim to boost the spacial utilization for the millimeter wave (mmWave) based wireless personal area network (WPAN) by developing a high-speed concurrent transmission (HSCT) scheme using full-duplexed multi-hop relay. We approach this task by two phases, i.e., the routing-path developing and multi-flow scheduling phases, respectively. In the first phase, we develop the routing path by taking the multiple high-rate hops into consideration. With the aid of full-duplex relay, using multiple high-rate hops can possibly be more efficient than the low-rate direct transmission. In the second phase, overlapping the scheduling round (SR) can more effectively utilize the full-duplex relay. Conventionally, the SR are arranged in the bumper-to-bumper fashion. Whereas, overlapping the SR can fully utilize the unoccupied time slots. Moreover, to maintain the transmission rate for the paths via multiple high-rate hops, the scheduling algorithm properly arranges concurrent transmissions to avoid intolerable amount of interference. Additionally, the variant prioritized flows are taken into account for designing the routingpath developing and multi-flow scheduling algorithms. The simulation results verify the effectiveness of the proposed HSCT scheme. INDEX TERMS mmWave, concurrent transmission, full-duplex relay, WPA network.