2013 | OriginalPaper | Buchkapitel
Randomized Post-optimization for t-Restrictions
verfasst von : Charles J. Colbourn, Peyman Nayeri
Erschienen in: Information Theory, Combinatorics, and Search Theory
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Search, test, and measurement problems in sparse domains often require the construction of arrays in which every
t
or fewer columns satisfy a simply stated combinatorial condition. Such
t-restriction problems
often ask for the construction of an array satisfying the
t
-restriction while having as few rows as possible. Combinatorial, algebraic, and probabilistic methods have been brought to bear for specific
t
-restriction problems; yet in most cases they do not succeed in constructing arrays with a number of rows near the minimum, at least when the number of columns is small. To address this, an algorithmic method is proposed that, given an array satisfying a
t
-restriction, attempts to improve the array by removing rows. The key idea is to determine the necessity of the entry in each cell of the array in meeting the
t
-restriction, and repeatedly replacing unnecessary entries, with the goal of producing an entire row of unnecessary entries. Such a row can then be deleted, improving the array, and the process can be iterated. For certain
t
-restrictions, it is shown that by determining conflict graphs, entries that are necessary can nonetheless be changed without violating the
t
-restriction. This permits a richer set of ways to improve the arrays. The efficacy of these methods is demonstrated via computational results.