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FIFO scheduling is often considered to be inappropriate for scheduling workloads that are subject to timing constraints. However, FIFO is implemented in many general-purpose OSs, and is more widely supported than other priority-based scheduling methods. In this paper, we show that, when the global FIFO scheduling algorithm is used to schedule sporadic real-time tasks on a multiprocessor, deadline tardiness is bounded. This result shows that global FIFO may in fact be useful for scheduling soft real-time workloads.