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1. The practical algorithm of sensitivity analysis of geometric programming is improved to reduce calculation error, and this method is applied in structure optimal design.

2. The iteration of geometric programming with constraint positive negative term equations is applied to the optimal design for bolted tight connections used in pressure vessels.

3. Signomial geometric programming ( SGP ) problems often occur in engineering design and management.

4. A reducible geometric programming is applied to general design of optimum continual beam and frame. Two span beam and steel door-frame are calculated and give satisfactory results.

5. Geometric programming is a effective method for solving nonlinear programming. This method has been successfully used in optimization design of engineering.

6. Some decomposition methods for special classes of geometric programming problems were given in [ 1 - 3 ].

7. The Geometric programming (GP) method is applied to tackle the optimum control problem of groundwater quantity and quality.

8. The principles and methods of geometric programming are adopted to deal with the calculation of compositions of combustion products in MHD system.

9. Part 31 is about geometric programming interface and by which the expression of parametric shape of description programs is portability.

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10. In this paper, we propose a stratified multiobjective geometric programming model for the optimal cultivation in agriculture.

11. Results show that global nonlinear design optimization can be performed for hypervelocity impact models that follow the Geometric Programming form.

12. The improvement to the method of variable combination makes the problem of dual variable separation in geometric programming with a multi difficulty degree simple and easy to solve.

13. In this paper, minimum weight design of a hatch cover of box cross section is made by geometric programming. The analytic optimal solution is obtained.

14. Different CAD platforms need the corresponding data interface. So this thesis aims at this problem and the geometric programming interface based on UG. is studied in it.

15. The present paper introduces the optimized design of valve springs of the internal-combustion engine by the duality method of the geometric programming with the positive term equations of constraint.

16. The optimization design of a deccelerative gear transmission in a belt conveyer by the geometric programming duality method with constrained positive term equations is reported.

17. Affine arithmetic is not only used for estimate variations and correlations, but also helps to solve robust geometric programming combined with the ellipsoid method.

18. In the present paper, optimal design of valve spring used constrained positive deterministic formula geometric programming iteration.

19. Then, using the inequality of information theory, the paper directly proved that the minimum cross-entropy solution is exactly the dual geometric programming solution.

20. This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming (GP) briefly.