Construction of Efficient Multi-Level k-Circulant Supersaturated Designs |
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Authors: | B N Mandal V K Gupta Rajender Parsad |
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Institution: | I.A.S.R.I. , Pusa , New Delhi , India |
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Abstract: | This article proposes an algorithm to construct efficient balanced multi-level k-circulant supersaturated designs with m factors and n runs. The algorithm generates efficient balanced multi-level k-circulant supersaturated designs very fast. Using the proposed algorithm many balanced multi-level supersaturated designs are constructed and cataloged. A list of many optimal and near optimal, multi-level supersaturated designs is also provided for m ≤ 60 and number of levels (q) ≤10. The algorithm can be used to generate two-level k-circulant supersaturated designs also and some large optimal two-level supersaturated designs are presented. An upper bound to the number of factors in a balanced multi-level supersaturated design such that no two columns are fully aliased is also provided. |
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Keywords: | Algorithm Aliased Efficiency k-circulant Multi-level Supersaturated designs |
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