A robust optimization model considering probability distribution

Ding Ran、Li Qiqiang、Zhang Yuanpeng

Strategic Study of CAE ›› 2008, Vol. 10 ›› Issue (9) : 70-73.

PDF(704 KB)
PDF(704 KB)
Strategic Study of CAE ›› 2008, Vol. 10 ›› Issue (9) : 70-73.

A robust optimization model considering probability distribution

  • Ding Ran、Li Qiqiang、Zhang Yuanpeng

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Abstract

Robust optimization is a method to process optimization problem under uncertainty. The current robust optimization methods have some deficiencies in application conditions and probability utilization. Based on the chance constraints programming, two kinds of robust constraints according to two different kinds of probability distribution of the stochastic parameters are proposed, and a novel robust optimization model is proposed. The feasible solutions of this model can be controlled to satisfy the robust index. This model can be used in the situations that both sides of the constraints contain stochastic parameters, and can be easily extended to non-liner models. The simulation results illustrate the validity of the model.

Keywords

uncertainty / robust optimization / stochastic programming / chance constraints

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Ding Ran,Li Qiqiang,Zhang Yuanpeng. A robust optimization model considering probability distribution. Strategic Study of CAE, 2008, 10(9): 70‒73
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