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Embedded real-time systems are often implemented as multi-tasking systems to meet deadline constraints on the response time of multiple external inputs. The DL scheduler based on the EDF (Earliest Deadline First) scheduling algorithm has been implemented in the Linux kernel, so that real-time tasks can be completed within the deadline. But for multi-core processors, real-time tasks will have Dhall effect under the EDF algorithm. In view of the above problems, this paper proposes an improved method for real-time task scheduling algorithms in the Linux kernel. Based on the EDF algorithm, the LLF (Least Laxity First) scheduling algorithm is implemented and improved. It reduces the jitter in the scheduling process by reducing the task context switching frequency and reducing the slack calculation. Experiments show that this method not only avoids the Dhall effect, but also reduces the system overhead caused by task context switching, and enables tasks to be scheduled within deadlines, and achieves better scheduling performance.