Sentence examples for optimal solutions can be from inspiring English sources
The approach was tested on two examples, showing that currently we are able to solve small HEN synthesis problems to global optimality with reasonable computational effort, while good locally optimal solutions can be identified for larger problems.
With the proposed two-step formulation, one can integrate information theory conveniently to supervise the feature selection process while the optimal solutions can be guaranteed due to the convex optimization formulations in a generalized lasso framework.
This report identifies 1) key concepts and the main steps in building an optimization model; 2) the types of problems for which optimal solutions can be determined in real-world health applications; and 3) the appropriate optimization methods for these problems.
Numerical results show that the proposed BESO method is efficient, and convergent solid-void or bi-material optimal solutions can be achieved for a variety of frequency optimization problems of continuum structures.
Although determination of Pareto optimal solutions can be considered as one of strengths of multi-objective optimization algorithms, but the decision maker will be confused in choosing the best solution.
The results indicate that smooth optimal solutions can be obtained by solving this equation.
Since Eq. (12) is a convex optimization problem, the optimal solution can be obtained in a polynomial time.
The design problem can be formulated as an optimization problem, and so the optimal solution can be found using optimization, regardless of the experience of the design engineer.
In addition, it can be verified that the optimization problem (8a) and (8b) is convex; therefore, its optimal solution can be obtained by any standard convex optimization algorithm.
Thus, the optimal solution can be obtained by optimizing the EE problem of one BS area within one time interval.
We develop a systematic way to use the Lagrange multiplier rules to derive an optimality system of equations from which an optimal solution can be computed.
