Solution and application of a class of nonlinear programming problems

The scheduling and planning have very important application value for electric network safe operation. To this problem, this paper establishes a nonlinear programming model. In order to solve the solution of this model, it decomposes the problem into several linear programming sub-problems by introducing a family of parameters. By comparing these solutions of sub-problems, it can obtain the optimal solution of the original nonlinear programming problem from the solutions of these linear programming sub-problems. It proves rigorously that the solution is the precise solution of the original problem. This algorithm on these kinds of programming models is better than the current algorithms in the efficiency and precision. 6 refs.