Abstract
We investigate the issue of stalling in the LogP model. In particular, we introduce a novel quantitative characterization of stalling, referred to as δ-stalling, which intuitively captures the realistic assumption that once the network’s capacity constraint is violated, it takes some time (at most δ) for this information to propagate to the processors involved. We prove a lower bound that shows that LogP under δ-stalling is strictly more powerful than the stall-free version of the model where only strictly stall-free computations are permitted. On the other hand, we show that δ-stalling LogP with δ = L can be simulated with at most logarithmic slowdown by a BSP machine with similar bandwidth and latency values, thus extending the equivalence (up to logarithmic factors) between stall-free LogP and BSP argued in [1] to the more powerful L-stalling LogP.
This research was supported, in part, by the Italian CNR, and by MURST under Project Algorithms for Large Data Sets: Science and Engineering.
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© 2000 Springer-Verlag Berlin Heidelberg
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Bilardi, G., Herley, K.T., Pietracaprina, A., Pucci, G. (2000). On stalling in LogP. In: Rolim, J. (eds) Parallel and Distributed Processing. IPDPS 2000. Lecture Notes in Computer Science, vol 1800. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45591-4_13
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DOI: https://doi.org/10.1007/3-540-45591-4_13
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