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Optimization Methods and Software Volume 24, 2009 - Issue 4-5: GLOBAL OPTIMIZATION
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Part 3 – Modelling and applications

Piecewise polynomial interpolations and approximations of one-dimensional functions through mixed integer linear programming

João M. Natali Othmer-Jacobs Department of Chemical and Biological Engineering, Polytechnic University, Brooklyn, NY, USA
&
José M. Pinto Othmer-Jacobs Department of Chemical and Biological Engineering, Polytechnic University, Brooklyn, NY, USACorrespondence[email protected]
Pages 783-803 | Received 03 Jan 2008, Published online: 07 Aug 2009

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Nikolaos V. Sahinidis. (2009) Global optimization. Optimization Methods and Software 24:4-5, pages 479-482.
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H.A. Pedrozo, S.B. Rodriguez Reartes, Q. Chen, M.S. Diaz & I.E. Grossmann. (2020) Surrogate-model based MILP for the optimal design of ethylene production from shale gas. Computers & Chemical Engineering 141, pages 107015.
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Bjarne Grimstad & Brage R. Knudsen. (2020) Mathematical programming formulations for piecewise polynomial functions. Journal of Global Optimization 77:3, pages 455-486.
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Mariya N. Koleva, Craig A. Styan & Lazaros G. Papageorgiou. (2017) Optimisation approaches for the synthesis of water treatment plants. Computers & Chemical Engineering 106, pages 849-871.
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Xue Chen, Xin Luan & Da-Lei Song. (2017) Development of digital carpet electrostatic tester based on piecewise linear interpolation calibration. Development of digital carpet electrostatic tester based on piecewise linear interpolation calibration.
Songsong Liu, Ishaq Alhasan & Lazaros G. Papageorgiou. (2016) A mixed integer linear programming model for the optimal operation of a network of gas oil separation plants. Chemical Engineering Research and Design 111, pages 147-160.
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Bjarne Grimstad, Bjarne Foss, Richard Heddle & Malcolm Woodman. (2016) Global optimization of multiphase flow networks using spline surrogate models. Computers & Chemical Engineering 84, pages 237-254.
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Lingjian Yang, Eric S. Fraga & Lazaros G. Papageorgiou. (2013) Mathematical programming formulations for non-smooth and non-convex electricity dispatch problems. Electric Power Systems Research 95, pages 302-308.
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Eleftheria M. Polykarpou, Paul A. Dalby & Lazaros G. Papageorgiou. (2012) An MILP formulation for the synthesis of protein purification processes. Chemical Engineering Research and Design 90:9, pages 1262-1270.
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João M. Natali, José M. Pinto & Lazaros G. Papageorgiou. (2009) Efficient MILP formulations for the simultaneous optimal peptide tag design and downstream processing synthesis. AIChE Journal 55:9, pages 2303-2317.
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