IEEE802.1Qbv (TAS: Time Aware Shaper) has been attracting attention as a technology to realize low-latency communications for industrial networks (NWs) and wireless networks. TAS achieves low latency by designing a transmission schedule called a Gate Control List (GCL) from NW information such as propagation delay and link speed and transmission information such as transmission period and frame size. The demand for low-latency communications between distant sites is increasing, and TAS is expected to be realized in Service Provider Network (SPNW). Applying TAS to SPNWs makes it difficult to design GCLs because GCLs need to be designed for all nodes that compose the large NW. Especially, when two or more transmissions with specific periods are multiplexed, the scheduling success rate deteriorates due to schedule collisions. In this paper, we aim to increase the success rate of scheduling by allowing for jitter in transmission. Experimental results show that the proposed method is able to schedule approximately 2.3 times more users with 5 μs of jitter tolerance than the method that does not tolerate jitter when multiplexing traffic with various periodicities. In addition, we found that by managing the jitter across all the nodes through which the transmission passes, the proposed method was able to suppress the jitter to about 13% on average compare to the method in which the jitter is managed independently at each node.