Polyhedral Coherent Risk Measures and Robust Optimization

被引:0
作者
V. S. Kirilyuk
机构
[1] National Academy of Sciences of Ukraine,V. M. Glushkov Institute of Cybernetics
来源
Cybernetics and Systems Analysis | 2019年 / 55卷
关键词
polyhedral coherent risk measure; Conditional Value-at-Risk; robust optimization; distributionally robust optimization; uncertainty set; linear programming;
D O I
暂无
中图分类号
学科分类号
摘要
Properties of the apparatus of polyhedral coherent risk measures, its relationship with problems of robust and distributionally robust optimization, as well as its application under uncertainty are described. Problems of calculating robust structures of polyhedral coherent risk measures and their minimization, which are reduced to the corresponding linear programming problems, are considered.
引用
收藏
页码:999 / 1008
页数:9
相关论文
共 50 条
  • [41] Ambiguity in risk preferences in robust stochastic optimization
    Haskell, William B.
    Fu, Lunce
    Dessouky, Maged
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2016, 254 (01) : 214 - 225
  • [42] Robust optimization vs. stochastic programming incorporating risk measures for unit commitment with uncertain variable renewable generation
    Narges Kazemzadeh
    Sarah M. Ryan
    Mahdi Hamzeei
    Energy Systems, 2019, 10 : 517 - 541
  • [43] Robust optimization vs. stochastic programming incorporating risk measures for unit commitment with uncertain variable renewable generation
    Kazemzadeh, Narges
    Ryan, Sarah M.
    Hamzeei, Mahdi
    ENERGY SYSTEMS-OPTIMIZATION MODELING SIMULATION AND ECONOMIC ASPECTS, 2019, 10 (03): : 517 - 541
  • [44] Computationally Tractable Counterparts of Distributionally Robust Constraints on Risk Measures
    Postek, Krzysztof
    den Hertog, Dick
    Melenberg, Bertrand
    SIAM REVIEW, 2016, 58 (04) : 603 - 650
  • [45] The Strategic Weight Manipulation Model in Uncertain Environment: A Robust Risk Optimization Approach
    Qu, Shaojian
    Wang, Lun
    Ji, Ying
    Zuo, Lulu
    Wang, Zheng
    SYSTEMS, 2023, 11 (03):
  • [46] Conditional value-at-risk in portfolio optimization: Coherent but fragile
    Lim, Andrew E. B.
    Shanthikumar, J. George
    Vahn, Gah-Yi
    OPERATIONS RESEARCH LETTERS, 2011, 39 (03) : 163 - 171
  • [47] Robust optimization in spline regression models for multi-model regulatory networks under polyhedral uncertainty
    Ozmen, Ayse
    Kropat, Erik
    Weber, Gerhard-Wilhelm
    OPTIMIZATION, 2017, 66 (12) : 2135 - 2155
  • [48] BSDEs with jumps, optimization and applications to dynamic risk measures
    Quenez, Marie-Claire
    Sulem, Agnes
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (08) : 3328 - 3357
  • [49] Portfolio optimization under lower partial risk measures
    Konno H.
    Waki H.
    Yuuki A.
    Asia-Pacific Financial Markets, 2002, 9 (2) : 127 - 140
  • [50] Mean robust optimization
    Wang, Irina
    Becker, Cole
    Van Parys, Bart
    Stellato, Bartolomeo
    MATHEMATICAL PROGRAMMING, 2024,