Sentence examples for test problems are solved from inspiring English sources

Several test problems are solved to validate the proposed method.

To assess the effectiveness of CPMIP and SA algorithm, a set of test problems are solved.

To prove the efficiency of the proposed algorithm, a number of test problems are solved.

Several test problems are solved and highly accurate solutions of the 3D convection diffusion equations are obtained for small to medium values of the grid Reynolds number.

Furthermore a genetic algorithm (GA) is proposed and a number of well-known test problems are solved by the GA and the related results are illustrated.

To investigate the performance of the mathematical models and to compare them with the developed exact algorithm, a number of test problems are solved and the results are reported.

A number of the test problems were solved to check the veracity of the proposed method.

Since ten instances were generated, 270 test problems were solved for MOSA algorithm, 90 test problems were solved for NSGA-II and 270 test problems for MOPSO.

Computational experiments show that the algorithms are effective (all 448 tested problems are solved optimally) and efficient (it only takes a few iterations to converge for each tested problem).

A test problem is solved to illustrate the technique.

Each test problem is solved once with the applied SA algorithm.