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Anomalies in parallel branch-and-bound algorithms
Ten‐Hwang Lai (The Ohio State University), Sartaj K. Sahni (University of Minnesota)
Communications of the ACM
DOI: 10.1145/358080.358103 (Computer Science)
License: not stated (all rights reserved)
Abstract: We consider the effects of parallelizing branch-and-bound algorithms by expanding several live nodes simultaneously. It is shown that it is quite possible for a parallel branch-and-bound algorithm using n 2 processors to take more time than one using n 1 processors, even though n 1 < n 2 . Furthermore, it is also possible to achieve speed-ups that are in excess of the ratio n 2 / n 1 . Experimental results with the 0 / 1-Knapsack and Traveling Salesman problems are also presented.
Published on 01 Jun. 1984