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High-performance computing on shared-memory/multi-core architectures could suffer from non-negligible performance bottlenecks due to coordination algorithms, which are nevertheless necessary to ensure the overall correctness and/or to support the execution of housekeeping operations, e.g. to recover computing resources (e.g., memory). Although more complex in design/development, a paradigm switch from classical coordination algorithms to wait-free ones could significantly boost the performance of HPC applications. In this paper we explore the relevance of this paradigm shift in shared-memory architectures, by focusing on the context of Parallel Discrete Event Simulation, where the Global Virtual Time (GVT) represents a fundamental coordination algorithm. It allows to compute the lower bound on the value of the logical time passed through by all the entities participating in a parallel/distributed computation. Hence it can be used to discriminate what events belong to the past history of the computation---thus being considered as committed---and allowing for memory recovery (e.g. of obsolete logs that were taken in order to support state recoverability) and non-revokable operations (e.g. I/O). We compare the reference (blocking) algorithm for shared memory, the one proposed by by Fujimoto and Hybinette \cite{Fuj97}, with an innovative wait-free implementation, emphasizing on what design choices must be made to enforce this paradigm shift, and what are the performance implications of removing critical sections in coordination algorithms.