Journal
COMPUTERS & CHEMICAL ENGINEERING
Volume 122, Issue -, Pages 193-202Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compchemeng.2018.07.007
Keywords
Bi-level optimization; Multi-parametric programming; Hierarchical model predictive control; Supply chain planning
Funding
- National Science Foundation [CBET-1705423]
- Department of Chemical Engineering
- Texas AM University
- Texas A&M Energy Institute
- Faculty of Engineering of Imperial College London
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In this manuscript we present B-POP, a MATLAB toolbox for bi-level optimization through multiparametric programming. It features i) bi-level programming solvers for linear and quadratic programming problems, and their mixed-integer counter-parts, ii) a versatile problem generator capable of creating random bi-level problems of arbitrary size, and iii) a library of bi-level programming test problems. The features of B-POP are demonstrated through detailed computational studies showing the capabilities and the scalability of the embedded algorithms. Moreover, two applications, i) a supply chain planning problem, and ii) a hierarchical model predictive control of a reactor system are chosen to show the applicability of bi-level programming and B-POP. (C) 2018 Elsevier Ltd. All rights reserved.
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