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Extremum-searching hierarchical parallel probabilistic algorithms. (English) Zbl 0647.68061
Summary: Considering a large finite set A together with a mapping f which takes A into a set with linear ordering, the extremum-search problem for \(<A,f>\) consists in searching for an element of A for which f attains the minimum (or maximum) value. Simple randomization or “non-idealized” parallelism are proved not to improve the situation substantially when compared with a systematical exhaustive inspection. Therefore, hierarchical parallel probabilistic algorithms for the problem in question are suggested and their time computational complexity is investigated and minimized.

MSC:
68P10 Searching and sorting
68Q25 Analysis of algorithms and problem complexity
68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)
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References:
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