Sentence examples for procedure in solving from inspiring English sources

Theoretical solutions are achieved by using the Bubnov-Galerkin procedure in solving differential equations.

This study describes an analysis of different neighbourhood transition schemes and their effects on the performance of a general purpose simulated annealing (SA) procedure in solving the dynamic multi-level capacitated lot sizing problem (MLCLSP) with general product structures.

In this paper we study the performance of a branch and bound enumeration procedure in solving a comprehensive mixed-integer linear programming formulation of a resource-sharing and scheduling problem (RSSP).

One common procedure in solving a normalized damped linear system with non-zero off-diagonal damping elements is to replace the normalized damping matrix by a selected diagonal matrix.

To avoid an otherwise inevitable iterative procedure in solving the monolithic discretized system, we use a linearization of the nonlinear convection terms and approximate block lower upper (LU) decompositions along with approximate factorization.

For the case of non-homogeneity under consideration, by following the similar procedure in solving problem (28), the optimal solution to problem (38) can be derived as W ~ = η H ̂ H G G H ̂ H ̂ H G + δ Tr { G 2 } M ( 1 - δ ) + Tr { Σ - 1 } P ( 1 - δ ) I - 1. (40).

The overall procedure results in solving a series of convex optimization problems.

These results validate the effectiveness of our proposed procedure and algorithm in solving the expansion planning problem.

In this paper, we suggest and evaluate an optimization procedure which specializes in solving a wide variety of optimization problems.

(ii)  In this study, the fuzzy approximation method in (21) or (22) is only employed to simplify the analysis and design procedure via solving P>0 for LMIs in (23) instead of solving V e) > 0 for HJI in (16) directly.

For example, they present difficulties in retrieval of arithmetical facts [ 4- 8], in using arithmetical procedures [e.g., [ 7]], and in solving arithmetical operations in general [ 9].