Sentence examples for using the numerical optimization from inspiring English sources

The optimal conditions were obtained using the numerical optimization.

The optimal solution is found using the numerical optimization package DIRCOL.

The roughness parameters are empirically calibrated using the numerical optimization techniques.

The maximum oil yield obtained using the numerical optimization techniques show that 49.2% were predicted by the RSM at the optimum conditions of; 60 °C temperature, extraction time 60 min, 150 μm seed particle size, 150 ml solvent volume and 49.8% by ANN-GA at extraction temperature 40 °C, extraction time 40 min, 200 μm seed particle size, 100 ml solvent volume, respectively.

Tzou proposed a method to achieve embedded quantization by organizing the threshold levels in the form of binary trees, using the numerical optimization of Max [2].

An analytical method without using the numerical-optimization based control allocation algorithms is given to distribute the higher-level control efforts.

In comparison, the SQP optimization using the numerical gradient obtained by the finite difference (SQP ∇finite) resulted in a poorer progress and was much slower and less accurate than HATA or SQP ∇user.

Based on the optimization results using the numerical method in Table 6, the maximum efficiencies for COD removal were obtained as 83.79, 93.18 and 98.90% by the lamps of 8, 15 and 30-W, respectively at CIP concentration 11.2 (mg/l), CuO dosage 0.08 (g/l) and pH value 8.17.

The minimization is carried out using the SIMPLEX numerical optimization method running in MATLAB [32].

This new approach is used on a high-load compressor cascade to testify its performance, accompanied by two other profiling using the conventional approach and the numerical optimization with the same profiling limitation.

As one can see, the basic merit of DC lies in its tractability, which caters to the numerical optimization using the parser-solver.