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A Comparative Theoretical and Computational Study on Robust Counterpart Optimization: I. Robust Linear Optimization and Robust Mixed Integer Linear Optimization

delete2011-08-22
delete235
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OA
AI
Z
Zukui Li
R
Ran Ding
C
Christodoulos A. Floudas *
DOI:10.1021/ie200150pdelete
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摘要

摘要

En 中文
Robust counterpart optimization techniques for linear optimization and mixed integer linear optimization problems are studied in this paper. Different uncertainty sets, including those studied in literature (i.e., interval set; combined interval and ellipsoidal set; combined interval and polyhedral set) and new ones (i.e., adjustable box; pure ellipsoidal; pure polyhedral; combined interval, ellipsoidal, and polyhedral set) are studied in this work and their geometric relationship is discussed. For uncertainty in the left-hand side, right-hand side, and objective function of the optimization problems, robust counterpart optimization formulations induced by those different uncertainty sets are derived. Numerical studies are performed to compare the solutions of the robust counterpart optimization models and applications in refinery production planning and batch process scheduling problem are presented.
Keyword:
TRACTABLE APPROXIMATIONS
UNCERTAIN DATA
PROGRAMS
NETWORK
DESIGN
ALGORITHM

期刊

I
Industrial and Engineering Chemistry Research
IF:
3.9
论文数:
4.0W
被引数:
9.6W

机构

P
Princeton University
学者数:
2.1W
论文数: 2.3W
被引数: 5.1W
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