To achieve high rate of Multi-Giga-bits-per-second for multimedia applications at personal area level, 60 GHz communication technologies are most potential candidates. Due to some special characteristics of 60 GHz band of frequencies and use of multiple directional antennas, the network level and user level throughput can be increased tremendously by identifying and scheduling the non interfering transmission requests for concurrent transmissions. Instead of direct communication between source and destination, by traversing the traffic flow on optimum path (consists of light weight multiple-relying-hops), can further increase the throughput and balances the load condition across the network. In this paper we present a scheduling scheme for concurrent transmission of non interfering transmission requests on instantaneous optimum path. Performance of scheme is investigated for different path loss exponents.