| In our real life and engineering field, for the facts′complexity or localization and subjectivity which people′s viewpoint have about problems, there are phenomena with uncertainty, which always are expressed by randomicity, faintness. But in true-life problems, the probability distributing of random parameters and the subject function of faintness parameters are always unknowable, and in the most circumstances, we can only obtain the change bounds of the uncertain parameters. So we introduce the interval programming problems ,which is flexible programming and can easily solve some optimization problems .Datum from home and abroad tell us that now interval linear programming has obtained a little progress ,but the achievement about the models and algorithms of interval nonlinear programming is little. However ,in reality problems the objective function and constrained function always are nonlinear .So it is very necessary that discussing the models and algorithms about interval nonlinear programming.Based on prevenient achievements of the interval programming problems, by the numbers and roundly ,this paper discusses the models and algorithms of interval linear programming ,nonlinear programming and interval quadratic programming problems. The main content and conclusions is as follow:(1)Narrating the models and algorithms of interval linear programming problems , advancing a normal model of interval programming problems, concluding two solutions of the model which are about the optimal interval value and the determinate transition, and intorducting the relation between the interval programming problems and faintness programming.(2)Narrating the models and algorithms of interval nonlinear programming problems, advancing a nonlinear programming that only objective function including interval parameters ,a nonlinear programming objective function and constrained function including interval parameters and a nonlinear programming which often comes forth in some engineering programming , and advancing three solutions about the models.(3)Discussing a important and active nonlinear programming problems——interval quadratic programming , narrating the basic characters and concepts , extending to the interval quadratic programming, advancing a model of interval quadratic programming, in theory proofing the solution's feasibility that decomposing the model into two determinating submodles, and advancing a algorithm about the model, and with the simulation examples showing the feasibility of the solution. |
