ABSTRACT

An interval robust optimization method is suggested to improve the robustness and performance of the process or product in design. A general uncertain robust optimization problem is considered in which the objective function and constraints are both nonlinear and uncertain, and the uncertainties of design variables and uncertain parameters are all included and depicted by the interval model. A nonlinear interval number programming method is introduced to solve the robust optimization model, in which the uncertain objective function is described by a pair of deterministic functions, and the uncertain constraints are converted to deterministic constraints on the basis of the reliability-based possibility degree of interval. The method is then applied to several heat transfer problems for performance optimization of the heat transfer processes while guaranteeing the robustness of the optimal design.

摘要

建议采用区间鲁棒优化方法来提高设计过程或产品的鲁棒性和性能。考虑了一个一般的不确定鲁棒优化问题，其中目标函数和约束都是非线性和不确定的，设计变量和不确定参数的不确定性都被区间模型包含和描述。引入非线性区间数规划方法求解鲁棒优化模型，其中不确定目标函数由一对确定性函数描述，不确定约束转化为确定性约束。间隔。