On the maintenance fee under linear optimization;

Study of nonlinear optimization based on grading competition compact genetic algorithm;

Based on identification of The internal and external constraints on wastewater reuse in urban setting were identified to develop a nonlinear optimization model to maximize the benefits of water resources in wastewater recycling system.

We define three kinds of collision energies,and calculate and discuss them through a nonlinear optimization method.

It is a multi-variables-mixed non-linear optimization problem in designing the structure of the embedded stiffened penstock of hydropower station,and it is difficult to be solved with general optimization methods.

A computing program is developed relied on the non-linear optimization theory with damping least squares.

The main work includes:①the working mechanics of pressuremeter test is numerically simulated with finite element method, in which Duncan-Chang E-B model is applied;②a practical back-analysis method and computing program of constitutive parameters for Duncan-Chang E-B model are developed, based on the non-linear optimization theory with damping least squa.

【Method】 A SD-NLP model of system dynamics(SD) integrating with nonlinear programming with technological,economic and political constraints was established to carry out prediction and optimal analysis on future trend of wastewater reclamation and reuse in the city of Xi an,based on wastewater reclamation and reuse system.

To counter the shortcoming of limiting to linear programing of steam coal blending a new nonlinear programming technology of coal blending is studied.