基于正交试验法的显微镜上照明设计

根据LED光源特性和目标面光强的分布要求,采用正交试验法,对显微镜的LED照明系统进行优化设计。利用TracePro软件对所设计的系统进行光线追迹仿真,结果表明,在Φ50mm的范围内照度均匀性达到83.7%,能量利用率达到52.8%。该结构简单,成本低,易于实现。     

扰动多目标规划的次微分稳定性

本文利用共轭对偶算子定义了次微分,在一般拓扑向量空间中系统地讨论了多目标规划次微分稳定性.在目标函数为锥严格凸,约束函数为拟凸以及锥半连续的条件下,得到扰动多目标规划问题的整体稳定性.另外,通过引进点集,映射在一点凸的定义,得到问题的局部稳定性.我们将所得到的结论应用于有限维欧氏空间中控制结构为正锥的情形,还得到一些特殊结果.     

UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE

In this paper the Pareto efficiency of a uniformly convergent multiobjective optimization sequence is studied. We obtain some relation between the Pareto efficient solutions of a given multiobjective optimization problem and those of its uniformly convergent optimization sequence and also some relation between the weak Pareto efficient solutions of the same optimization problem and those of its uniformly convergent optimization sequence. Besides, under a compact convex assumption for constraints set and a certain convex assumption for both objective and constraint functions, we also get some sufficient and necessary conditions that the limit of solutions of a uniformly convergent multiobjective optimization sequence is the solution of a given multiobjective optimization problem.