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Modern computing systems have adopted multicore architectures and multiprocessor systems on chip (MPSoCs) for accommodating the increasing demand on computation power. However, performance boosting is constrained by shared resources, such as buses, main memory, DMA, etc.This paper analyzes the worst-case completion (response) time for real-time tasks when time division multiple access (TDMA) policies are applied for resource arbitration.Real-time tasks execute periodically on a processing element and are constituted by sequential superblocks. A superblock is characterized by its accesses to a shared resource and its computation time. We explore three models of accessing shared resources: (1)dedicated access model, in which accesses happen only at the beginning and the end of a superblock, (2) general access model, in which accesses could happen anytime during the execution of a superblock, and (3) hybrid access model, which combines the dedicated and general access models. We present a framework to analyze the worst-case completion time of real-time tasks (superblocks) under these three access models, for a given TDMA arbiter. We compare the timing analysis of the three proposed models for a real-world application.