E(s^2)-optimal and minimax-optimal cyclic supersaturated designs via multi-objective simulated annealing

Koukouvinos, Christos, Mylona, Kalliopi and Simos, Dimitris E. (2008) E(s^2)-optimal and minimax-optimal cyclic supersaturated designs via multi-objective simulated annealing. Journal of Statistical Planning and Inference, 138, (6), 1639-1646. (doi:10.1016/j.jspi.2007.05.044).


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In this paper, we are interested in finding E(s2)E(s2)-optimal and minimax-optimal, two level cyclic structured supersaturated designs through a metaheuristic approach guided via multi-objective simulated annealing (SA). Our construction method is based on cyclic generators. This class of metaheuristics enabled us to build supersaturated designs for q=2,4,…,14q=2,4,…,14 generators. Comparisons are made with previous works and it is shown that SA gives promising results for supersaturated designs that satisfy more than one optimality property. Furthermore, we provide some lower bounds and explicit formulas for the frequency of the elements with maximum absolute values that appear in the information matrix, when these values are 2, 4 or 6.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.jspi.2007.05.044
ISSNs: 0378-3758 (print)
Keywords: cyclic generator, E(s2)E(s2)-optimality, factorial designs, metaheuristics, minimax-optimality, multi-objective optimization, simulated annealing, supersaturated designs
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
ePrint ID: 336710
Accepted Date and Publication Date:
1 July 2008Published
12 August 2007Made publicly available
Date Deposited: 03 Apr 2012 14:59
Last Modified: 31 Mar 2016 14:25
URI: http://eprints.soton.ac.uk/id/eprint/336710

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