Robust real-time optimization for the linear oil blending
RAIRO - Operations Research - Recherche Opérationnelle, Volume 47 (2013) no. 4, pp. 465-479.

In this paper we present a robust real-time optimization method for the online linear oil blending process. The blending process consists in determining the optimal mix of components so that the final product satisfies a set of specifications. We examine different sources of uncertainty inherent to the blending process and show how to address this uncertainty applying the Robust Optimization techniques. The polytopal structure of our problem permits a simplified robust approach. Our method is intended to avoid reblending and we measure its performance in terms of the blend quality giveaway and feedstocks prices. The difference between the nominal and the robust optimal values (the price of robustness) provides a benchmark for the cost of reblending which is difficult to estimate in practice. This new information can be used to adjust the level of conservatism in the model. We analyze the feasibility of a blend to be produced from a set of feedstocks when the heel of a previous blend is used in the composition of the new blend. Additional critical information for the control system is then produced.

DOI: 10.1051/ro/2013052
Classification: 49N05
Keywords: blending, robustness, polyhedra, RTO, linear programing
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     title = {Robust real-time optimization for the linear oil blending},
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     pages = {465--479},
     publisher = {EDP-Sciences},
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Janaqi, Stefan; Aguilera, Jorge; Chèbre, Meriam. Robust real-time optimization for the linear oil blending. RAIRO - Operations Research - Recherche Opérationnelle, Volume 47 (2013) no. 4, pp. 465-479. doi : 10.1051/ro/2013052. http://archive.numdam.org/articles/10.1051/ro/2013052/

[1] A. Ben-Tal, L.E. Ghaoui and A. Nemirovski, Robust Optimization (Princeton Series in Applied Mathematics). Princeton University Press (2009). | MR | Zbl

[2] M. Chèbre, Y. Crefi and N. Petit, Feedback control and optimization for the production of commercial fuels by blending. J. Process Control 20 (2010) 441-451.

[3] E. Hendrix, Finding robust solutions for product design problems. Eur. J. Oper. Res. 92 (1996) 28-36. | Zbl

[4] A. Singh, Model-based real-time optimization of automotive gasoline blending operations. J. Process Control 10 (2000) 43-58.

[5] W. Wang, Z. Li, Q. Zhang and Y. Li, Online optimization model design of gasoline blending system under parametric uncertainty. In Proceedings of the 15th Mediterranean Conference on Control & Automation (2007).

[6] Y. Zhang, Results analysis for trust constrained real-time optimization. J. Process Control 11 (2001) 329-341.

[7] Y. Zhang, D. Monder and J. Fraser Forbes, Real-time optimization under parametric uncertainty: a probability constrained approach. J. Process Control 12 (2002) 373-389.

[8] M. Grant and S. Boyd, CVX User's Guide (2009).

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