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| 1 | +\begin{thebibliography}{10} |
| 2 | + |
| 3 | +\bibitem{agarwal2015novel} |
| 4 | +Anshul Agarwal. |
| 5 | +A novel minlp reformulation for nonlinear generalized disjunctive programming |
| 6 | + (gdp) problems. |
| 7 | +{\em arXiv preprint arXiv:1510.01791}, 2015. |
| 8 | + |
| 9 | +\bibitem{agarwal2010automating} |
| 10 | +Ashish Agarwal, Sooraj Bhat, Alexander Gray, and Ignacio~E Grossmann. |
| 11 | +Automating mathematical program transformations. |
| 12 | +In {\em International Symposium on Practical Aspects of Declarative Languages}, |
| 13 | + pages 134--148. Springer, 2010. |
| 14 | +\href{http://dx.doi.org/10.1007/978-3-642-11503-5\_12}{doi:10.1007/978-3-642-11503-5\_12}. |
| 15 | + |
| 16 | +\bibitem{balas_2018} |
| 17 | +Egon Balas. |
| 18 | +{\em Disjunctive programming}. |
| 19 | +Springer, 2018. |
| 20 | + |
| 21 | +\bibitem{Bussieck2004} |
| 22 | +Michael~R. Bussieck and Alex Meeraus. |
| 23 | +{\em General Algebraic Modeling System (GAMS)}, pages 137--157. |
| 24 | +Springer US, Boston, MA, 2004. |
| 25 | +\href{http://dx.doi.org/10.1007/978-1-4613-0215-5\_8}{doi:10.1007/978-1-4613-0215-5\_8}. |
| 26 | + |
| 27 | +\bibitem{bynum2021pyomo} |
| 28 | +Michael~L. Bynum, Gabriel~A. Hackebeil, William~E. Hart, Carl~D. Laird, |
| 29 | + Bethany~L. Nicholson, John~D. Siirola, Jean-Paul Watson, and David~L. |
| 30 | + Woodruff. |
| 31 | +{\em Pyomo--optimization modeling in python}, volume~67. |
| 32 | +Springer Science \& Business Media, third edition, 2021. |
| 33 | + |
| 34 | +\bibitem{chen_grossmann_2019} |
| 35 | +Qi~Chen and Ignacio Grossmann. |
| 36 | +Modern modeling paradigms using generalized disjunctive programming. |
| 37 | +{\em Processes}, 7(11), 2019. |
| 38 | +\href{http://dx.doi.org/10.3390/pr7110839}{doi:10.3390/pr7110839}. |
| 39 | + |
| 40 | +\bibitem{chen2022pyomo} |
| 41 | +Qi~Chen, Emma~S Johnson, David~E Bernal, Romeo Valentin, Sunjeev Kale, Johnny |
| 42 | + Bates, John~D Siirola, and Ignacio~E Grossmann. |
| 43 | +Pyomo. gdp: an ecosystem for logic based modeling and optimization development. |
| 44 | +{\em Optimization and Engineering}, 23(1):607--642, 2022. |
| 45 | + |
| 46 | +\bibitem{CHEN2022107616} |
| 47 | +Ying Chen, Yixin Ye, Zhihong Yuan, Ignacio~E. Grossmann, and Bingzhen Chen. |
| 48 | +Integrating stochastic programming and reliability in the optimal synthesis of |
| 49 | + chemical processes. |
| 50 | +{\em Computers \& Chemical Engineering}, 157:107616, 2022. |
| 51 | +\href{http://dx.doi.org/10.1016/j.compchemeng.2021.107616}{doi:10.1016/j.compchemeng.2021.107616}. |
| 52 | + |
| 53 | +\bibitem{CHO2022841} |
| 54 | +Seolhee Cho and Ignacio~E. Grossmann. |
| 55 | +An optimization model for expansion planning of reliable power generation |
| 56 | + systems. |
| 57 | +In Ludovic Montastruc and Stephane Negny, editors, {\em 32nd European Symposium |
| 58 | + on Computer Aided Process Engineering}, volume~51 of {\em Computer Aided |
| 59 | + Chemical Engineering}, pages 841--846. Elsevier, 2022. |
| 60 | +\href{http://dx.doi.org/10.1016/B978-0-323-95879-0.50141-7}{doi:10.1016/B978-0-323-95879-0.50141-7}. |
| 61 | + |
| 62 | +\bibitem{dunning_huchette_lubin_2017} |
| 63 | +Iain Dunning, Joey Huchette, and Miles Lubin. |
| 64 | +Jump: A modeling language for mathematical optimization. |
| 65 | +{\em SIAM Review}, 59(2):295–320, 2017. |
| 66 | +\href{http://dx.doi.org/10.1137/15M1020575}{doi:10.1137/15M1020575}. |
| 67 | + |
| 68 | +\bibitem{E.Grossmann2009} |
| 69 | +Ignacio E.~Grossmann. |
| 70 | +{\em Logic-based outer approximation}, pages 1928--1931. |
| 71 | +Springer US, Boston, MA, 2009. |
| 72 | +\href{http://dx.doi.org/10.1007/978-0-387-74759-0\_348}{doi:10.1007/978-0-387-74759-0\_348}. |
| 73 | + |
| 74 | +\bibitem{furman_sawaya_grossmann_2020} |
| 75 | +Kevin~C. Furman, Nicolas~W. Sawaya, and Ignacio~E. Grossmann. |
| 76 | +A computationally useful algebraic representation of nonlinear disjunctive |
| 77 | + convex sets using the perspective function. |
| 78 | +{\em Computational Optimization and Applications}, 76(2):589–614, 2020. |
| 79 | +\href{http://dx.doi.org/10.1007/s10589-020-00176-0}{doi:10.1007/s10589-020-00176-0}. |
| 80 | + |
| 81 | +\bibitem{10.1145/3511528.3511535} |
| 82 | +Shashi Gowda, Yingbo Ma, Alessandro Cheli, Maja Gw\'{o}\'{z}zd\'{z}, Viral~B. |
| 83 | + Shah, Alan Edelman, and Christopher Rackauckas. |
| 84 | +High-performance symbolic-numerics via multiple dispatch. |
| 85 | +{\em ACM Commun. Comput. Algebra}, 55(3):92–96, jan 2022. |
| 86 | +\href{http://dx.doi.org/10.1145/3511528.3511535}{doi:10.1145/3511528.3511535}. |
| 87 | + |
| 88 | +\bibitem{grossmann_lee_2003} |
| 89 | +Ignacio~E. Grossmann and Sangbum Lee. |
| 90 | +Generalized convex disjunctive programming: Nonlinear convex hull relaxation. |
| 91 | +{\em Computational Optimization and Applications}, 26(1):83–100, 2003. |
| 92 | +\href{http://dx.doi.org/10.1023/a:1025154322278}{doi:10.1023/a:1025154322278}. |
| 93 | + |
| 94 | +\bibitem{grossmann_trespalacios_2013} |
| 95 | +Ignacio~E. Grossmann and Francisco Trespalacios. |
| 96 | +Systematic modeling of discrete-continuous optimization models through |
| 97 | + generalized disjunctive programming. |
| 98 | +{\em AIChE Journal}, 59(9):3276--3295, 2013. |
| 99 | +\href{http://dx.doi.org/10.1002/aic.14088}{doi:10.1002/aic.14088}. |
| 100 | + |
| 101 | +\bibitem{hart2011pyomo} |
| 102 | +William~E Hart, Jean-Paul Watson, and David~L Woodruff. |
| 103 | +Pyomo: modeling and solving mathematical programs in python. |
| 104 | +{\em Mathematical Programming Computation}, 3(3):219--260, 2011. |
| 105 | +\href{http://dx.doi.org/10.1007/s12532-011-0026-8}{doi:10.1007/s12532-011-0026-8}. |
| 106 | + |
| 107 | +\bibitem{huangfu2018parallelizing} |
| 108 | +Qi~Huangfu and JA~Julian Hall. |
| 109 | +Parallelizing the dual revised simplex method. |
| 110 | +{\em Mathematical Programming Computation}, 10(1):119--142, 2018. |
| 111 | +\href{http://dx.doi.org/10.1007/s12532-017-0130-5}{doi:10.1007/s12532-017-0130-5}. |
| 112 | + |
| 113 | +\bibitem{jackson_sheridan_2005} |
| 114 | +Paul Jackson and Daniel Sheridan. |
| 115 | +Clause form conversions for boolean circuits. |
| 116 | +{\em Theory and Applications of Satisfiability Testing}, page 183–198, 2005. |
| 117 | +\href{http://dx.doi.org/10.1007/11527695\_15}{doi:10.1007/11527695\_15}. |
| 118 | + |
| 119 | +\bibitem{kim2022generalized} |
| 120 | +Donghun Kim. |
| 121 | +Generalized disjunctive programming-based, mixed integer linear mpc formulation |
| 122 | + for optimal operation of a district energy system for pv self-consumption and |
| 123 | + grid decarbonization: Field implementation. |
| 124 | +{\em International High Performance Buildings Conference}, 2022. |
| 125 | + |
| 126 | +\bibitem{kronqvist2022p} |
| 127 | +Jan Kronqvist, Ruth Misener, and Calvin Tsay. |
| 128 | +P-split formulations: A class of intermediate formulations between big-m and |
| 129 | + convex hull for disjunctive constraints. |
| 130 | +{\em arXiv preprint arXiv:2202.05198}, 2022. |
| 131 | + |
| 132 | +\bibitem{LEE20002125} |
| 133 | +Sangbum Lee and Ignacio~E. Grossmann. |
| 134 | +New algorithms for nonlinear generalized disjunctive programming. |
| 135 | +{\em Computers \& Chemical Engineering}, 24(9):2125--2141, 2000. |
| 136 | +\href{http://dx.doi.org/10.1016/S0098-1354(00)00581-0}{doi:10.1016/S0098-1354(00)00581-0}. |
| 137 | + |
| 138 | +\bibitem{MATOVU2022107856} |
| 139 | +Fahad Matovu, Shuhaimi Mahadzir, Rasel Ahmed, and Nor Erniza~Mohammad Rozali. |
| 140 | +Synthesis and optimization of multilevel refrigeration systems using |
| 141 | + generalized disjunctive programming. |
| 142 | +{\em Computers \& Chemical Engineering}, 163:107856, 2022. |
| 143 | +\href{http://dx.doi.org/10.1016/j.compchemeng.2022.107856}{doi:10.1016/j.compchemeng.2022.107856}. |
| 144 | + |
| 145 | +\bibitem{NAVARROAMOROS201413} |
| 146 | +Miguel~A. Navarro-Amorós, Rubén Ruiz-Femenia, and José~A. Caballero. |
| 147 | +Integration of modular process simulators under the generalized disjunctive |
| 148 | + programming framework for the structural flowsheet optimization. |
| 149 | +{\em Computers \& Chemical Engineering}, 67:13--25, 2014. |
| 150 | +\href{http://dx.doi.org/10.1016/j.compchemeng.2014.03.014}{doi:10.1016/j.compchemeng.2014.03.014}. |
| 151 | + |
| 152 | +\bibitem{nemhauser_1999} |
| 153 | +George~L. Nemhauser. |
| 154 | +{\em Integer and combinatorial optimization}. |
| 155 | +John Wiley and Sons, 1999. |
| 156 | + |
| 157 | +\bibitem{TRESPALACIOS201598} |
| 158 | +Francisco Trespalacios and Ignacio~E. Grossmann. |
| 159 | +Improved big-m reformulation for generalized disjunctive programs. |
| 160 | +{\em Computers \& Chemical Engineering}, 76:98--103, 2015. |
| 161 | +\href{http://dx.doi.org/10.1016/j.compchemeng.2015.02.013}{doi:10.1016/j.compchemeng.2015.02.013}. |
| 162 | + |
| 163 | +\bibitem{trespalacios_grossmann_2016} |
| 164 | +Francisco Trespalacios and Ignacio~E. Grossmann. |
| 165 | +Cutting plane algorithm for convex generalized disjunctive programs. |
| 166 | +{\em INFORMS Journal on Computing}, 28(2):209–222, 2016. |
| 167 | +\href{http://dx.doi.org/10.1287/ijoc.2015.0669}{doi:10.1287/ijoc.2015.0669}. |
| 168 | + |
| 169 | +\bibitem{vecchietti1999logmip} |
| 170 | +Aldo Vecchietti and Ignacio~E Grossmann. |
| 171 | +Logmip: a disjunctive 0--1 non-linear optimizer for process system models. |
| 172 | +{\em Computers \& chemical engineering}, 23(4-5):555--565, 1999. |
| 173 | +\href{http://dx.doi.org/10.1016/s0098-1354(98)00293-2}{doi:10.1016/s0098-1354(98)00293-2}. |
| 174 | + |
| 175 | +\bibitem{ZHOU202269} |
| 176 | +Wenjin Zhou, Kashif Iqbal, Xiaogang Sun, Dinghui Gan, Chun Deng, José~María |
| 177 | + Ponce-Ortega, and Chunmao Chen. |
| 178 | +Disjunctive programming model for the synthesis of property-based water supply |
| 179 | + network with multiple resources. |
| 180 | +{\em Chemical Engineering Research and Design}, 187:69--83, 2022. |
| 181 | +\href{http://dx.doi.org/10.1016/j.cherd.2022.08.027}{doi:10.1016/j.cherd.2022.08.027}. |
| 182 | + |
| 183 | +\end{thebibliography} |
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