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This paper presents the first suspsension-based multiprocessor real-time locking protocols with asymptotically optimal blocking bounds (under certain analysis assumptions). These protocols can be applied under any global, clustered, or partitioned job-level fixed-priority scheduler and support mutual exclusion, reader-writer exclusion, and k-exclusion constraints. Notably, the reader-writer and k-exclusion protocols are the first analytically-sound suspension-based multiprocessor real-time locking protocols of their kind. To formalize a notion of "Optimal blocking," precise definitions of what constitutes "Blocking" in a multiprocessor real-time system are given and a simple complexity metric for real-time locking protocols, called maximum priority-inversion blocking (pi-blocking), is introduced.
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