D-optimal designs: A mathematical programming approach using cyclotomic cosets

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

D-optimal designs: A mathematical programming approach using cyclotomic cosets

Mujahid N. Syed^*
, Ilias S. Kotsireas
, Panos M. Pardalos

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	577-587
Number of pages	11
Journal	Informatica
Volume	22
Issue number	4
State	Published - 2011
Externally published	Yes

Keywords

D-optimal design
cyclotomy cosets
mathematical programming

ASJC Scopus subject areas

Information Systems
Applied Mathematics

Cite this

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title = "D-optimal designs: A mathematical programming approach using cyclotomic cosets",

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.",

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AU - Syed, Mujahid N.

AU - Kotsireas, Ilias S.

AU - Pardalos, Panos M.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - D-optimal design

KW - cyclotomy cosets

KW - mathematical programming

UR - https://www.scopus.com/pages/publications/84855499584

M3 - Article

AN - SCOPUS:84855499584

SN - 0868-4952

VL - 22

SP - 577

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JO - Informatica

JF - Informatica

IS - 4

ER -

D-optimal designs: A mathematical programming approach using cyclotomic cosets

Abstract

Keywords

ASJC Scopus subject areas

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Cite this