Title: Schedulability of Generalized Multiframe Task Sets under Static Priority Assignment Authors: Hiroaki Takada(1) and Ken Sakamura(2) (1) Department of Information Science, School of Science, University of Tokyo (2) The University Museum, University of Tokyo Abstract: The multiframe task model has been proposed recently to effectively model a task whose execution times are periodically changed according to a specified pattern. Schedulability of task sets consisting of multiframe tasks or ageneralized multiframe tasks (GMF tasks) is now being investigated under various conditions. This paper discusses the necessary and sufficient condition of the schedulability of GMF task sets under a priority-based preemptive scheduling with static priority assignment. The critical instant theorem for GMF task sets is described and the necessary and sufficient condition of their schedulability is presented based on the theorem. We also introduce the maximum interference function (MIF) and propose a polynomial-time feasibility decision algorithm using the MIF. Appeared in: Proceedings of the 4th International Workshop on Real-Time Computing Systems and Applications (RTCSA)