From Goal Programming for Continuous Multi-Criteria Optimization to the Target Decision Rule for Mixed Uncertain Problems

Goal programming (GP) is applied to the discrete and continuous version of multi-criteria optimization. Recently, some essential analogies between multi-criteria decision making under certainty (M-DMC) and scenario-based one-criterion decision making under uncertainty (1-DMU) have been revealed in the literature. The aforementioned similarities allow the adjustment of GP to an entirely new domain. The aim of the paper is to create a new decision rule for mixed uncertain problems on the basis of the GP methodology. The procedure can be used by pessimists, optimists and moderate decision makers. It is designed for one-shot decisions. One of the significant advantages of the novel approach is related to the possibility to analyze neutral criteria, which are not directly taken into account in existing classical procedures developed for 1-DMU.     

动态柱形空穴膨胀模型及其在侵彻问题中的应用

 在侵彻问题中的应用进行了研究。通过采用相似变换求解塑性区控制方程,获得了动态柱形空穴膨胀中的弹塑性界面速度、径向应力分布、空穴表面应力的解。基于柱形空穴模型,推导了侵彻方程,并将其得到的预测结果与侵彻实验数据进行了比较。结果表明,模型的理论解与现有数据吻合得很好。 结果还显示了材料的可压缩性和塑性强化模量对柱形空穴膨胀以及侵彻阻力的影响。     

非线性动态特性的逆推演方法及其在干涉术中的应用

提出了研究对象非线性动态特性的逆推演新方法,它的特点是从已知对象的非微分方程解析解导出该对象可能的微分方程,从而开拓它的解域或解空间,或者说恢复丢失的解。同时讨论了当对象为法布里－珀罗干涉（F－P）或迈克耳孙干涉时该方法的应用过程,并且对法布里－珀罗定义新的不透过系数（u＝1／τ）,从而给出更简洁和易分析的对象动态特性微分议程,以及由此导出测量法布里－珀罗干涉相位的过程,值得注意的是由新方法导出的微分议程揭示对象更一般的时空演化特征。而且在现有的经验和知识基础上可以进一步唯象地拓展至其他可能的非线性形式,从而使对象的表达方式更接近它的实际情况。