Sentence examples for been utilized for solving from inspiring English sources

For example, global optimization technique that utilizes the concept of interval analysis and constraint propagation has been utilized for solving multiobjective problem of minimizing energy cost and minimizing net revenue (Bonnans and Spiers 2011).

The Markov chain Monte Carlo (MCMC -Particle algorithMCMC -Particle for solving the Balgorithmntegral problem.

While DEA is utilized for solving the optimization problem, PCFE is utilized for calculating the statistical moments.

The Differential Quadrature (DQ) method is utilized for solving the mathematical problem and isogeometric mapping is implemented for the nonlinear mapping of complex shapes.

Implicit numerical integration methods that account for the higher order derivative information are utilized for solving the singular set of differential equations.

Interior-point methods are utilized for solving inequality constrained convex problems [23].

ADMM technology was utilized for solving the resulting problem, and a satisfied solution is obtained.

This matrix is utilized for solving fourth-order linear and nonlinear boundary value problems.

There are equations with a large group of Lie symmetries that may not be utilized for solving it as may be seen in several examples given below.

Kaveh et al. (2015) showed that two new metaheuristic algorithms, charged system search (CSS) and colliding body optimization (CBO), are utilized for solving this problem.

In the above mentioned reference Lie describes in detail how a symmetry may be utilized for solving differential equations of any order.