Sentence examples for efficient solutions obtained by from inspiring English sources

At first, to investigate the performance of the developed AMOSA algorithm to reach optimal Pareto front, the efficient solutions obtained by ∈-constraint method as an exact method for the three numerical examples are compared with the best Pareto solutions obtained by AMOSA.

The solutions obtained by LINGO are compared with those obtained from the GA and the results show that the developed GA is efficient in terms of computational time and the quality of the solutions obtained.

The approximate solutions are shown to be in reasonably accurate agreement with the solutions obtained by the method of characteristics.

The perturbation series solutions are compared with the more exact solutions obtained by the application of the method of characteristics.

In this study, a set of non-dominated solutions obtained by the proposed algorithm is kept in an archive to be used to display the exploratory capability of the MOWCA as compared to other efficient methods in the literature.

Furthermore, the efficient solutions are obtained by applying the improved ε-constraint method.

The solution obtained by such an algorithm is sparse, producing an efficient basis representation of the system.

The residual-based approach is more efficient than the derivative method in determining an element partition that results in a feasible optimal solution close to the optimal solution obtained by a tray-by-tray model.

Applying the convexity of the cost functionals, it is shown that all Pareto efficient solutions can be obtained by solving a weighted sum optimal control problem, based on which, Pareto-based GCC problem is solved by the GCC of the weighted sum objective functional.

By casting all these problems into canonical form, efficient solutions are obtained simultaneously for all.

A simple but efficient solution can be obtained by resetting.