Sentence examples for optimal solution can be from inspiring English sources

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.

With the aid of an operator optimization method, it is shown that a unified optimal solution can be derived by solving a coupled Riccati equation.

Therefore, the (globally) optimal solution can be efficiently found using numerical optimization techniques and the interior-point method was used to obtain the numerical results[25].

Therefore, the optimal solution can be obtained by using standard convex optimization tools [29].

Similar to reference [19], the optimal solution can be obtained based on waterfilling distribution via standard optimization techniques.

Finally, the optimal solution can be found.

The optimal solution can be efficiently obtained.