This paper proposes the implementation of 4 different scheduling strategies for combining multi-core scheduling with hierarchical scheduling. Three of the scheduling schemes are analyzable with state-of-the-art schedulability analysis theory, available in the real-time systems community. Our idea is to implement these hierarchical multi-core scheduling strategies in a Linux based operating system, without modifying the kernel, and evaluate them. As of now, we have developed/implemented a prototype two-level hierarchical scheduling framework (HSF) in Linux (uni-core), which supports fixed priority preemptive scheduling (FPPS) of periodic servers at the top level, and FPPS of periodic tasks at the second level. The HSF is based on the REal-time SCHeduler (RESCH) framework.(1)