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Asynchrony and Delay-Sensitive Bounds

In this chapter our goal is to obtain complexity bounds for work-efficient message-passing algorithms for the Do-All problem. We require that the al- gorithms tolerate any pattern of processor crashes with at least one surviving processor. More significantly, we are interested in algorithms whose work de- grades gracefully as a function of the worst case message delay d. Here the requirement is that work must be subquadratic in n and p as long as d = o(n). Thus for our algorithms we aim to developdelay-sensitive analysis of work and message complexity. Noting again that work must be Ω(p · n) for d ≥ n, we give a comprehensive analysis for d < n, achieving substantially better

Keywords

Deterministic Algorithm Message Complexity Progress Tree Message Delay Local Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2008

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