Xia De-lin, Zhou Jin-fang. A Discrete Nonlinear Stepping Optimization Method and Its Application[J]. Applied Mathematics and Mechanics, 1988, 9(9): 843-850.
 Citation: Xia De-lin, Zhou Jin-fang. A Discrete Nonlinear Stepping Optimization Method and Its Application[J]. Applied Mathematics and Mechanics, 1988, 9(9): 843-850.

# A Discrete Nonlinear Stepping Optimization Method and Its Application

• Publish Date: 1988-09-15
• Most of the practical design variables should always be discrete quantity within engineering optimization design problems. To obtain the true optimization solution, a discrete optimization method must be used. In this paper, a new method called step optimization search method is presented to solve the discrete quantity mathematic programming problems. The basic idea of this method is to find out an initial feasible point and then to search the optimum point step by step in the neighbouring region of this point so as to obtain an improved new discrete point. Respectively, the new point can be taken as initial one, and the whole process can be carried out once more until the optimum solution of the problem is obtained.Some results of numerical examples of practical problems show that this new method can solve problems quickly and simply and can be applied in a lot of engineering design problems.
•  [1] Garfinhel,R.S.and G.L.Nemhauser,Integer Programmins,John.Wiley and Sons(1972). [2] Xia De-lin and C.L.Wang,On an approximation method of geometric programming,Congressus Numerantium,34 Canada(1982). [3] 夏德麟,整数线性规划的一种新方法—分枝方向搜索法,应用数学和力学.6,3(1985),277-282. [4] 夏德麟,船舶结构优化的离散变量方法,中国造船工程学会论文集(1984).

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