After that, each flux is varied in different percentages of its prior value and the effects of these changes on the objective function can be studied [ 32].
In what-if analysis, a single change, in an interactive mode, is input to SOS Voyager to see the effect of this change on the objective function.
Thus, at every change of the objective priorities, other run must be applied to identify the new global optimal solution.
Reduced costs Defined as the rate of change of the objective function for a unit increase in the bounds of a variable.
Since the change of the objective function's value and the change of adaptability are opposite, we set up the function of adaptability as follows: Gleft( {M_{i}^{(t)},S_{i}^{prime (t)} } right) = f_{hbox{max} } - fleft( {M_{i}^{(t)},S_{i}^{prime (t)} } right).
Each curve in our paper depicts the change of the objective function value averaged over 25 runs: The convergence curves are plotted on log-log plots, with a logarithmic scale for both axes in order to be able to capture the convergence trend over a wide range of values.
In the second step, the change of the objective function value is given by (23) − α D (w * i S, w * j S ) + α D (w * i S ′, w * j S ′ ) − β D (w i G *, w j G * ) + β D (w i G ′ *, w j G ′ * ) which is always negative.
After 12 weeks of treatment, changes in the objective measures of efficacy including the decrease in parabasal cells, increase in superficial cells, and decrease in vaginal pH were similar in magnitude to those previously observed and were highly significant.
The effect of regularization on the convergence We now consider how the penalty regularization (7), which changes the topology of the objective function, affects the convergence of the optimizer.
