The document presents a novel task distribution methodology called the minimum laxity first (MLF) algorithm for heterogeneous reconfigurable computing systems (HRCS), focusing on efficient resource utilization through dynamic scheduling of real-time applications on FPGA and soft core processors. The paper evaluates the performance of the MLF algorithm against existing static scheduling methods, demonstrating superior resource utilization and application execution speed. It also discusses the architecture of the targeted HRCS and provides a detailed breakdown of task distribution methodologies and performance criteria.