By taking the minimum cost as optimization aim,the synthetic factor method,minimum cost method,and linear programming method of solving assembled dimensional chains are introduced.

Basing on the monochromatic radiative intensity,the inverse problem of radiative transfer equation was solved by least squares method,regularization method and linear programming method.

In order to optimize the sinter mix proportioning, three different kinds of optimizing methods, Linear Programming, Monte Carlo Algorithm and Genetic Algorithm, were used to calculate proportioning scheme ,under the identical conditions, and optimum solutions were analyzed from the final solution, efficiency, convenience and other aspects.

The physical meaning of reflection coefficients has been discussed,and the underdetermined system of equations which contain reflection coefficients has been reached in the time-domain , the method of Linear Programming for solving the underdetermined system of equations has been put forward, and the train of thought and programming frame has been given.

Using linear programming method into a small valley land planning in Danjiangkou Reservoir zones,the rational allocation of resources is achieved for maximum effectiveness.