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This paper is concerned with augmenting genetic algorithms (GAs) to include memory for continuous variables, and applying this to stacking sequence design of laminated sandwich composite panels that involves both discrete variables and a continuous design variable.
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When the probabilistic model contains both continuous and discrete variables and the dependencies between them are both deterministic and stochastic, it is advantageous to apply the BP and MF algorithms in those parts of the factor graph where they are most suitable.
The two models included the standard model, in which both continuous and discrete variables were included and weighted according to the β-coefficients in the multivariate logistic model, and the summary score model, which was the sum of variables dichotomized at clinically relevant cut points.
Absolute and relative frequencies were given for discrete variables, median and range for continuous variables.
This paper presents a general representation, which enables the use of standard variation operators, allows defining both continuous and discrete variables from a single type of gene and is easily adaptable to different problems, with a larger or smaller number of variables.
For discrete variables, number and proportions were calculated.
The control variables consist of both continuous and discrete variables, including generator voltage magnitudes, discrete tap settings of transformers and outputs of reactive compensation devices.
Spearman's rank correlation coefficient or Spearman's ρ, which is more appropriate for assessing the relationship for both continuous and discrete variables, was computed between each tumor's Miller-Payne grade and the pretreatment maximum tHb, oxyHb and deoxyHb concentrations; tumor types; Nottingham scores; mitotic index; and tumor receptor status obtained at the core biopsy.
Three multivariate logistic regression models were constructed: 1) standard model, with both continuous and discrete variables; 2) dichotomous model, with continuous variables dichotomized at clinically relevant cut points; and 3) summary score defined as the sum of the points accrued using the terms from the dichotomous model.
The methodology can handle both continuous and discrete variables.
A MultiObjective GA (MOGA) is proposed to solve multiobjective problems combining both continuous and discrete variables.
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