中文

弱与强超优化:在可行性寻求与最小化之间

最优化与控制 2014-12-10 v2

摘要

我们回顾了超优化(superiorization)方法,在某些情况下,该方法可被视为介于可行性寻求与约束最小化之间。它并非试图求解完整的约束最小化问题;相反,其任务是寻找一个可行点,该点在目标函数值上优于仅由可行性寻求算法返回的点。我们区分了超优化方法中源于同一一般原则的两个研究方向:弱超优化与强超优化,并阐明了它们的性质。

关键词

引用

@article{arxiv.1410.0130,
  title  = {Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization},
  author = {Yair Censor},
  journal= {arXiv preprint arXiv:1410.0130},
  year   = {2014}
}

备注

Revised version. Presented at the Tenth Workshop on Mathematical Modelling of Environmental and Life Sciences Problems, October 16-19, 2014, Constantza, Romania. http://www.ima.ro/workshop/tenth_workshop/