The Global Optimization Algorithm Using Interval Mathematics And Its Application Research

Since the middle of1970s, Global optimization with amazing speed in manyways made a rapid progress, Many of the new global optimization theory and thealgorithm also arise, and got the extensive application.Currently already as anindependent discipline branch in the field of optimization, Global optimization getsthe attention of scholars both at home and abroad and the research in the field of aboom, be a powerful tool, is applied to practical problems of modeling and analysisby people.Because in this global optimization problems, likely there are more than onelocal optimal solutions, but they are different from the global optimal solution, sojust according to the classic local optimization method,people can’t solve theseproblems.In global optimization problem, at present, so many optimization algorithmensure that you get the global optimal solution at a certain probability, usuallybecause of the influence of initial point selections, it is easy to fall into the "localoptimal solution", And in this paper,the global optimization algorithm based oninterval mathematical can completely avoid the problems,ensure that you get thereal global optimal solution of the global optimization problem, and provides acriterion for global optimization. This paper for unconstrained global optimizationproblems and constrained global optimization problems in the theory of intervalglobal optimization algorithm is introduced. It states and demonstrates from thechoice of initial domain, the deletion of no solution box to the algorithmtermination rules. Among them, it expounds Fritz John conditions in the role of thealgorithm in details, and analysis the solution of John conditions,and Lagrangemultiplier selection, standardization, bounding the Lagrange multiplier, etcIn addition, in this paper,from the mathematical examples and mechanicaloptimal design example of these two angles,the interval global optimizationalgorithm is demonstrated for feasibility. the conclusion from example bymathematics is, the global optimum algorithm,which based on intervalmathematics,for interval mathematical optimization,has characteristics withprecise, efficient etc. This paper will also quote interval global optimizationalgorithm to the optimized design of machinery, based on the optimization designof the automobile suspension system, Establish global optimization mathematical model, on the software platform of Matlab software and INTLAB softwarerepositories, it makes optimization analysis,and get ideal result.