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: GloMIQO; BARON; SCIP; CPLEX; GAMS; ANTIGONE; MINLPLib; LINDO; Bonmin; GitHub; GLOBALLib; MINLP; Gurobi; CONOPT; StdPooling-PolyAlgos; AMPL; LINDOGlobal; Couenne; Ipopt; GloptiPoly
Cited in: 39 Publications
Further Publications: http://helios.princeton.edu/APOGEE/publications.html

Citations by Year