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arXiv · 1703.10731

An analysis of budgeted parallel search on conditional Galton-Watson trees

David Avis·Luc Devroye
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Abstract

Recently Avis and Jordan have demonstrated the efficiency of a simple technique called budgeting for the parallelization of a number of tree search algorithms. The idea is to limit the amount of work that a processor performs before it terminates its search and returns any unexplored nodes to a master process. This limit is set by a critical budget parameter which determines the overhead of the process. In this paper we study the behaviour of the budget parameter on conditional Galton-Watson trees obtaining asymptotically tight bounds on this overhead. We present empirical results to show that this bound is surprisingly accurate in practice.

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David Avis, Luc Devroye. 2019-09-05. An analysis of budgeted parallel search on conditional Galton-Watson trees. https://arxiv.org/abs/1703.10731

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