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Traditional and classical techniques of optimization for an NLP are not efficient when the practical search space is too large, and there are too many decision variables.
Given the two subinterval counts (N t and N τ ), the boundary and initial conditions, and the estimated CT infection risk for j = 1,…, N τ, we obtain a nonlinear optimization model with finitely many decision variables, linear objective function, and quadratic constraints.
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Nevertheless, due to availability and quantifiability of related information, the inevitable uncertainties in many system parameters, decision variables, objective functions, and their relationships could make the waste management systems more complicated (Abichou et al. [2010]).
It should be noted however that in many studies, different decision variables have been examined independently (i.e., only a single decision variable was examined within a trial).
Many engineering optimization problems involve decision variables of continuous nature.
Each individual Χ i is a vector that contains as many parameters as the problem decision variables D. Random values are assigned to each decision parameter in every vector according to: {mathrm{X}}_{ij}^0sim Uleft({mathrm{X}}_j^{min },{mathrm{X}}_j^{max}right) (20).
Multi-objective integer linear programming (MOILP) problem is an important research area as many practical situations require discrete representations by integer variables, and many decision makers have to deal with several objectives (Ulungu and Teghem 1994).
It is noted that in the schemes (1.5 - 1.6), the leader controls all decision variables which is not realistic since in many practical problems the leader only has power on his own decision variables.
In many instances, there is a mix of continuous and integer decision variables.
Many optimization methods require an initial point and/or bounds on the decision variables.
In many cases, a player ν might have some additional constraints depending on his decision variables only.
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