The timing predictability of embedded systems with hard real-time requirements is fundamental for guaranteeing their safe usage. With the emergence of multicore platforms this task becomes even more challenging, because of shared processing, communication and memory resources. Model-checking techniques are capable of verifying the performance properties of applications running on these platforms. Unfortunately, these techniques are not scalable when analyzing systems with large number of tasks and processing units. In this paper, a model-checking based approach that allows to guarantee timing bounds of multiple Synchronous Data Flow Applications (SDFA) running on shared-bus multicore architectures will be extended for a TDMA hypervisor architecture. We will improve the the number of SDFAs being analyzable by our model-checking approach by exploiting the temporal and spatial segregation properties of the TDMA architecture and demonstrate how this method can be applied.