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An interval sequential linear programming for nonlinear robust optimization problems

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成果类型:
期刊论文
作者:
Tang, Jiachang;Fu, Chunming;Mi, Chengji;Liu, Haibo
通讯作者:
Mi, Chengji(michengji_86@126.com)
作者机构:
[Mi, Chengji; Tang, Jiachang] Hunan Univ Technol, Dept Mech Engn, Zhuzhou 412007, Peoples R China.
[Fu, Chunming] Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China.
[Liu, Haibo] Hunan Univ Sci & Technol, Hunan Prov Key Lab Hlth Maintenance Mech Equipment, Xiangtan 411201, Peoples R China.
通讯机构:
[Chengji Mi] D
Department of Mechanical Engineering, Hunan University of Technology, Zhuzhou City, 412007, PR China
语种:
英文
关键词:
Robust optimization;Interval uncertainty;Reliability-based possibility degree of interval (RPDI);Sensitivity analysis;Sequential linear programming
期刊:
Applied Mathematical Modelling
ISSN:
0307-904X
年:
2022
卷:
107
页码:
256-274
基金类别:
This work is supported by the National Natural Science Foundation of China (Grant No. 51905257 and Grant No U20B2028 .), the Hunan Provincial Natural Science Foundation of China (Grant No: 2020JJ6075 and Grant No. 2021JJ40205 ), the Outstanding Youth Foundation of Hunan Education Department (Grant No: 21B0406 ) and the China Postdoctoral Science Foundation (Grant No. 2021M690988 ).
机构署名:
本校为其他机构
院系归属:
机械工程学院
摘要:
In this paper, interval sequential linear programming (ISLP) is proposed to solve nonlinear robust optimization (RO). The main idea of the programming is to transform the uncertain optimization into several possibility-sensitivity analyses and deterministic linear optimization problems that are sequentially solved. At each cycle, a possibility-sensitivity analysis method is proposed to obtain the approximate partial derivatives of the uncertain constraints at the current design point, based on which a deterministic linear optimization model is ...

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