Combinatorial aspects of covering arrays
Covering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, a...
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Format: | Article |
Language: | English |
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Università degli Studi di Catania
2004-11-01
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Series: | Le Matematiche |
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Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166 |
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author | Charles J. Colbourn |
author_facet | Charles J. Colbourn |
author_sort | Charles J. Colbourn |
collection | DOAJ |
description | Covering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, and a variety of fields in which interactions among factors are to be identified. Here a combinatorial view of covering arrays is adopted, encompassing basic bounds, direct constructions, recursive constructions, algorithmic methods, and applications.<br /> |
first_indexed | 2024-12-10T08:44:39Z |
format | Article |
id | doaj.art-0a62f2aeb2e44e1d9a32d43c672193e8 |
institution | Directory Open Access Journal |
issn | 0373-3505 2037-5298 |
language | English |
last_indexed | 2024-12-10T08:44:39Z |
publishDate | 2004-11-01 |
publisher | Università degli Studi di Catania |
record_format | Article |
series | Le Matematiche |
spelling | doaj.art-0a62f2aeb2e44e1d9a32d43c672193e82022-12-22T01:55:46ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982004-11-01591,2125172144Combinatorial aspects of covering arraysCharles J. ColbournCovering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, and a variety of fields in which interactions among factors are to be identified. Here a combinatorial view of covering arrays is adopted, encompassing basic bounds, direct constructions, recursive constructions, algorithmic methods, and applications.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166Covering arrayQualitative independencetransversal coverOrthogonal arrayTransversal designPerfect hash familyInteraction testingGroup-divisible designsHeuristic searchGreedy algorithm |
spellingShingle | Charles J. Colbourn Combinatorial aspects of covering arrays Le Matematiche Covering array Qualitative independence transversal cover Orthogonal array Transversal design Perfect hash family Interaction testing Group-divisible designs Heuristic search Greedy algorithm |
title | Combinatorial aspects of covering arrays |
title_full | Combinatorial aspects of covering arrays |
title_fullStr | Combinatorial aspects of covering arrays |
title_full_unstemmed | Combinatorial aspects of covering arrays |
title_short | Combinatorial aspects of covering arrays |
title_sort | combinatorial aspects of covering arrays |
topic | Covering array Qualitative independence transversal cover Orthogonal array Transversal design Perfect hash family Interaction testing Group-divisible designs Heuristic search Greedy algorithm |
url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166 |
work_keys_str_mv | AT charlesjcolbourn combinatorialaspectsofcoveringarrays |