A Lagrangian Approach to the Pooling Problem, Industrial & Engineering Chemistry Research, vol.38, issue.5, pp.1956-1972, 1999. ,
DOI : 10.1021/ie980666q
Jointly constrained biconvex programming, Mathematics of Operations Research, vol.8, pp.273-286, 1983. ,
Models and solution methods for the pooling problem, Doctoral thesis, 1956. ,
Strong formulations for the pooling problem, Journal of Global Optimization, vol.31, issue.10, pp.15-18, 2010. ,
DOI : 10.1007/s10898-012-9875-6
A new Lagrangean approach to the pooling problem, Journal of Global Optimization, vol.3, issue.3, pp.237-257, 2009. ,
DOI : 10.1007/s10898-008-9371-1
?BB: A global optimization method for general constrained nonconvex problems, Journal of Global Optimization, vol.3, issue.3, pp.337-363, 1995. ,
DOI : 10.1007/BF01099647
Decomposition algorithms for global solution of deterministic and stochastic pooling problems in natural gas value chains, Master's thesis, Massachusetts Institue of Technology, 2009. ,
Pooling Problem: Alternate Formulations and Solution Methods, Management Science, vol.50, issue.6, pp.761-776, 2004. ,
DOI : 10.1287/mnsc.1030.0207
A branch and cut algorithm for nonconvex quadratically constrained quadratic programming, Mathematical Programming, vol.87, issue.1, pp.131-152, 2000. ,
DOI : 10.1007/s101079900106
A review of recent design procedures for water networks in refineries and process plants, Computers & Chemical Engineering, vol.24, issue.9-10, pp.9-10, 2000. ,
DOI : 10.1016/S0098-1354(00)00579-2
Feasibility-Based Bounds Tightening via Fixed Points, Combinatorial Optimization and Applications Lecture Notes in Computer Science, vol.6508, pp.65-76, 2010. ,
DOI : 10.1007/978-3-642-17458-2_7
URL : https://hal.archives-ouvertes.fr/hal-00979219
Branching and bounds tightening techniques for non-convex MINLP, pp.597-634, 2009. ,
Global minimization by reducing the duality gap, Mathematical Programming, vol.14, issue.12, pp.193-212, 1994. ,
DOI : 10.1007/BF01582066
Comparison of bundle and classical column generation, Mathematical Programming, vol.94, issue.1, pp.299-344, 2008. ,
DOI : 10.1007/s10107-006-0079-z
URL : https://hal.archives-ouvertes.fr/inria-00342510
Relaxations of Multilinear Convex Envelopes: Dual Is Better Than Primal, Lecture Notes in Computer Science, vol.7276, pp.87-98, 2012. ,
DOI : 10.1007/978-3-642-30850-5_9
A primer in column generation, Column Generation, pp.1-32, 2005. ,
Primal-relaxed dual global optimization approach, Journal of Optimization Theory and Applications, vol.2, issue.2, pp.187-225, 1993. ,
DOI : 10.1007/BF00939667
A global optimization algorithm (GOP) for certain classes of nonconvex NLPs???I. Theory, Computers & Chemical Engineering, vol.14, issue.12, pp.1397-1417, 1990. ,
DOI : 10.1016/0098-1354(90)80020-C
A novel MINLP-based representation of the original complex model for predicting gasoline emissions, Computers & Chemical Engineering, vol.32, issue.12, pp.2857-2876, 2008. ,
DOI : 10.1016/j.compchemeng.2008.02.002
Studies of the behavior of recursion for the pooling problem, ACM SIGMAP Bulletin, vol.25, issue.25, pp.19-28, 1978. ,
DOI : 10.1145/1111237.1111238
Logic-based Benders decomposition, Mathematical Programming, vol.96, issue.1, pp.33-60, 2003. ,
DOI : 10.1007/s10107-003-0375-9
URL : http://ba.gsia.cmu.edu/jnh/benders.ps
Review and analysis of approaches for designing optimum industrial water networks, Computers and Chemical Engineering, vol.29, pp.663-681, 2008. ,
Stochastic pooling problem for natural gas production network design and operation under uncertainty, AIChE Journal, vol.8, issue.8, pp.2120-2135, 2011. ,
DOI : 10.1002/aic.12419
An Exact Reformulation Algorithm for Large Nonconvex NLPs Involving Bilinear Terms, Journal of Global Optimization, vol.3, issue.10, pp.161-189, 2006. ,
DOI : 10.1007/s10898-006-9005-4
Generalized primal-relaxed dual approach for global optimization, Journal of Optimization Theory and Applications, vol.6, issue.2, pp.417-434, 1996. ,
DOI : 10.1007/BF02190006
Convergence of the (GOP) algorithm for a large class of smooth optimization problems, Journal of Global Optimization, vol.4, issue.10, pp.207-211, 1995. ,
DOI : 10.1007/BF01096769
Computability of global solutions to factorable nonconvex programs: Part I ??? Convex underestimating problems, Mathematical Programming, vol.17, issue.11, pp.147-175, 1976. ,
DOI : 10.1287/mnsc.17.11.759
Global optimization of a combinatorially complex generalized pooling problem, AIChE Journal, vol.2241, issue.3, pp.1027-1037, 2006. ,
DOI : 10.1002/aic.10717
Global Optimization of Large-Scale Generalized Pooling Problems: Quadratically Constrained MINLP Models, Industrial & Engineering Chemistry Research, vol.49, issue.11, pp.5424-5438, 2010. ,
DOI : 10.1021/ie100025e
Advances for the pooling problem : modeling, global optimization , and computational studies (survey), Applied and Computational Mathematics, vol.8, issue.1, pp.3-22, 2009. ,
Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints, Computers & Chemical Engineering, vol.34, issue.9, pp.1432-1456, 2010. ,
DOI : 10.1016/j.compchemeng.2010.02.014
Handbook of natural gas transmission and processing, Chemical, Petrochemical & Process, 2006. ,
Convex Hull Discretization Approach to the Global Optimization of Pooling Problems, Industrial & Engineering Chemistry Research, vol.48, issue.4, 1973. ,
DOI : 10.1021/ie8003573
Linear programming relaxations of quadratically constrained quadratic programs, Mixed Integer Nonlinear Programming, The IMA Volumes in Mathematics and its Applications, pp.407-426, 2012. ,
Large-scale standard pooling problems with constrained pools and fixed demands, Journal of Global Optimization, vol.54, issue.4, pp.1-18, 2012. ,
DOI : 10.1007/s10898-012-9869-4
BARON: A general purpose global optimization software package, Journal of Global Optimization, vol.19, issue.2, pp.201-205, 1996. ,
DOI : 10.1007/BF00138693
Accelerating Branch-and-Bound through a Modeling Language Construct for Relaxation-Specific Constraints, Journal of Global Optimization, vol.99, issue.12, pp.259-280, 2005. ,
DOI : 10.1007/s10898-004-2705-8
Reduced RLT representations for nonconvex polynomial programming problems, Journal of Global Optimization, vol.103, issue.1, pp.447-469, 2012. ,
DOI : 10.1007/s10898-011-9757-3
New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems, Operations Research Letters, vol.21, issue.1, pp.1-9, 1997. ,
DOI : 10.1016/S0167-6377(97)00013-8
$${{\mathcal {D}(\mathcal {C})}}$$ -optimization and robust global optimization, Journal of Global Optimization, vol.37, issue.2, pp.485-501, 2010. ,
DOI : 10.1007/s10898-009-9475-2
An interior point algorithm for large-scale nonlinear optimization with applications in process engineering, Master's thesis, 2002. ,
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006. ,
DOI : 10.1007/s10107-004-0559-y