Parallel algorithms for combinatorial search problems:

Abstract: "This thesis is a theoretical study of parallel algorithms for combinatorial search problems. In this thesis we present parallel algorithms for backtrack search, branch-and-bound computation and game-tree search. Our model of parallel computation is a network of processors communicati...

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Bibliographische Detailangaben
1. Verfasser: Zhang, Yanjun (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berkeley, Calif. 1989
Schlagworte:
Zusammenfassung:Abstract: "This thesis is a theoretical study of parallel algorithms for combinatorial search problems. In this thesis we present parallel algorithms for backtrack search, branch-and-bound computation and game-tree search. Our model of parallel computation is a network of processors communicating via messages. Our primary interest in a parallel algorithm is its speed-up over the sequential ones. Our goal is to design parallel algorithms that achieve a speed-up proportional to the number of processors used. We first study backtrack search that enumerates all solutions to a combinatorial problem. We propose a simple randomized method for parallelizing sequential backtrack search algorithms for solving enumeration problems
We show that, uniformly on all instances, this method is likely to achieve a nearly best possible speed-up. We then study the branch-and-bound method for solving combinatorial optimization problems. We present a randomized method called Local Best-First Search for parallelizing sequential branch-and-bound algorithms. We show that, uniformly on all instances, the execution time of this method is unlikely to exceed a certain inherent lower bound by more than a constant factor. In the rest of this thesis we study the problem of evaluation of game trees in parallel. We present a class of parallel algorithms that parallelize the 'left-to-right' algorithm for evaluating AND/OR trees and the [alpha]-[beta] pruning algorithm for evaluating MIN/MAX trees
We prove that the algorithm achieves a linear speed-up over the left-to-right algorithm on uniform AND/OR trees when the number of processors used is close to the height of the input tree. We conjecture that the same conclusion holds for the speed-up of the algorithm over the [alpha]-[beta] pruning algorithm.
Beschreibung:Berkeley, Calif., Univ., Diss.
Beschreibung:IV, 107 S.

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