A note on lower bound of centered L sub(2)-discrepancy on combined designs

A note on lower bound of centered L sub(2)-discrepancy on combined designs

This note provides a theoretical justification of optimal foldover plans in terms of uniformity. A new lower bound of the centered L sub(2)-discrepancy values of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Our numerical results show that this...

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Veröffentlicht in:Acta mathematica Sinica. English series 2012-04, Vol.28 (4), p.793-800
Hauptverfasser: Lei, Yi Ju, Ou, Zu Jun, Qin, Hong, Zou, Na
Format: Artikel
Sprache:eng
Schlagworte:
Benchmarking
Design factors
Lower bounds
Mathematical models
Optimization
Positioning
Searching
Variability
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Zusammenfassung:This note provides a theoretical justification of optimal foldover plans in terms of uniformity. A new lower bound of the centered L sub(2)-discrepancy values of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Our numerical results show that this lower bound is sharper than existing results when more factors reverse the signs in the initial design.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-0009-8