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APOGEE

swMATH ID: 8451
Software Authors: Ruth Misener, Jeffrey P. Thompson, Christodoulos A. Floudas
Description: APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes. Our recent work globally optimized two classes of large-scale pooling problems: a generalized pooling problem treating the network topology as a decision variable and an extended pooling problem incorporating environmental regulations into constraints. The pooling problems were optimized using a piecewise linear scheme that activates appropriate under- and overestimators with a number of binary decision variables that scales linearly with the number of segments in the piecewise relaxation. Inspired by recent work 0400 and 0390, we introduce a formulation for the piecewise linear relaxation of bilinear functions with a logarithmic number of binary variables and computationally compare the performance of this new formulation to the best-performing piecewise relaxations with a linear number of binary variables. We have unified our work by developing APOGEE, a computational tool that globally optimizes standard, generalized, and extended pooling problems. APOGEE is freely available to the scientific community at helios.princeton.edu/APOGEE/.
Homepage: http://helios.princeton.edu/APOGEE/
Related Software: BARON; GloMIQO; SCIP; CPLEX; MINLPLib; GAMS; ANTIGONE; Gurobi; LINDO; Bonmin; GitHub; GLOBALLib; MINLP; CONOPT; StdPooling-PolyAlgos; AMPL; LINDOGlobal; JuMP; alphaBB; Couenne
Cited in: 42 Documents
Further Publications: http://helios.princeton.edu/APOGEE/publications.html
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Cited by 80 Authors

7 Misener, Ruth
6 Floudas, Christodoulos Achilleus
5 Castro, Pedro M.
4 Dey, Santanu Subhas
4 Grossmann, Ignacio E.
3 Li, Xiang
3 Nagarajan, Harsha
3 Sundar, Kaarthik
3 Tomasgard, Asgeir
2 Barton, Paul I.
2 Bent, Russell W.
2 Gupte, Akshay
2 Haugland, Dag
2 Kocuk, Burak
2 Linderoth, Jeff T.
2 Wang, Site
1 Ahmed, Shabbir
1 Baltean-Lugojan, Radu
1 Bernal, David E.
1 Boland, Natashia L.
1 Boukouvala, Fani
1 Castillo Castillo, Pedro A.
1 Chan, Alice Zhuo-Yu
1 Chen, Yifu
1 Cheng, Xin
1 Cheon, Myun-Seok
1 Conejo, Antonio J.
1 Constante-Flores, Gonzalo E.
1 Constante-Flores, S.
1 Copenhaver, Martin S.
1 Dahl, Joachim
1 D’Ambrosio, Claudia
1 de Klerk, Etienne
1 Duran, Marco A.
1 Ehrgott, Matthias
1 Figueira, José Rui
1 Furman, Kevin C.
1 Greco, Salvatore
1 Grimstad, Bjarne
1 Hellemo, Lars
1 Hendrix, Eligius M. T.
1 Huchette, Joey
1 Kalinowski, Thomas
1 Kolodziej, Scott P.
1 Koster, Arie M. C. A.
1 Kuhnke, Sascha
1 Liang, Yongtu
1 Liao, Qi
1 Lin, Ming-Hua
1 Lu, Mowen
1 Luedtke, James R.
1 Luo, Hezhi
1 Mahalec, Vladimir
1 Marandi, Ahmadreza
1 Maravelias, Christos T.
1 Morton, David P.
1 Narayan, Sivaram K.
1 Newman, Alexandra M.
1 Pistikopoulos, Efstratios N.
1 Qi, Haiqiang
1 Rigterink, Fabian
1 Sandnes, Anders
1 Sanjeevi, Sujeevraja
1 Santana, Asteroide
1 Schweiger, Jonas
1 Scioletti, Michael S.
1 Smadbeck, James B.
1 Stokols, Logan F.
1 Sun, Xu Andy
1 Theobold, Allison
1 Tsai, Jung-Fa
1 Tseng, Chung-Li
1 Vielma, Juan Pablo
1 Wittmann-Hohlbein, Martina
1 Wu, Huixian
1 Yu, Chian-Son
1 Zhan, Yiduo
1 Zhang, Xianye
1 Zheng, Qipeng Phil
1 Zolan, Alexander J.

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