D-Optimal Designs: A Mathematical Programming Approach Using Cyclotomic Cosets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:Vilnius University PressJournal:Informatica, volume 22, pages 577-587 (issn: 0868-4952, eissn: 1822-8844,

Copyright policy )

Authors: Mujahid N. Syed; Ilias S. Kotsireas; Panos M. Pardalos;

doi: 10.15388/informatica.2011.343

D-Optimal Designs: A Mathematical Programming Approach Using Cyclotomic Cosets

- Summary
- Metrics

Abstract

In this paper, a novel approach involving the concepts from mathematical programming and number theory is proposed to find the D-optimal designs. In specific, we will propose a mathematical formulation for the D-optimal design. In addition to that, we will present the use of cyclotomic cosets in the mathematical formulation, in order to reduce the total number of binary variables. We will illustrate the validity of our proposed method by solving a difficult known instance (N=126) of the D-optimal design.

Related Organizations

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

1

Average

gold

Fields of Science (4) View all

Fields of Science