To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programmi...To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programming problems.Based upon these generalized invexity,G-Fritz-John （G-F-J） and G-Karnsh-Kuhn-Tucker （G-K-K-T） types sufficient optimality conditions were established for a feasible solution to be an efficient solution.Moreover,weak and strict duality results were derived for a G-Mond-Weir type dual under various types of generalized dI-G-type Ⅰ invexity assumptions.展开更多
本文提出了集成电路最优化中综合考虑成品率极大、最佳容差设计、调整设计和生产效益极大化设计的统计最优化模型(Design Centering,Tolerance and Tuning.简称DCTT模型)。讨论了该模型与广义统计最优化模型的等价性以及其他主要性质。...本文提出了集成电路最优化中综合考虑成品率极大、最佳容差设计、调整设计和生产效益极大化设计的统计最优化模型(Design Centering,Tolerance and Tuning.简称DCTT模型)。讨论了该模型与广义统计最优化模型的等价性以及其他主要性质。在确定性最优化框架下,该模型为统计最优化和集成电路可制造性设计的进一步发展开辟了新途径。展开更多
基金National Natural Science Foundation of China(No.11071110)
文摘To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programming problems.Based upon these generalized invexity,G-Fritz-John （G-F-J） and G-Karnsh-Kuhn-Tucker （G-K-K-T） types sufficient optimality conditions were established for a feasible solution to be an efficient solution.Moreover,weak and strict duality results were derived for a G-Mond-Weir type dual under various types of generalized dI-G-type Ⅰ invexity assumptions.
文摘本文提出了集成电路最优化中综合考虑成品率极大、最佳容差设计、调整设计和生产效益极大化设计的统计最优化模型(Design Centering,Tolerance and Tuning.简称DCTT模型)。讨论了该模型与广义统计最优化模型的等价性以及其他主要性质。在确定性最优化框架下,该模型为统计最优化和集成电路可制造性设计的进一步发展开辟了新途径。
