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Multi-parametric disaggregation technique for global optimization of polynomial...
Teles, João P.; Castro, Pedro; Matos, Henrique A.This paper discusses a power-based transformation technique that is especially useful when solving polynomial optimization problems, frequently occurring in science and engineering. The polynomial nonlinear problem is primarily transformed into a suitable reformulated problem containing new sets of discrete and continuous variables. By applying a term-wise disaggregation scheme combined with multi-parametric el...
Comparison of global optimization algorithms for the design of water-using netw...
Castro, Pedro; Teles, João P.We address a special class of bilinear process network problems with global optimization algorithms iterating between a lower bound provided by a mixed-integer linear programming (MILP) formulation and an upper bound given by the solution of the original nonlinear problem (NLP) with a local solver. Two conceptually different relaxation approaches are tested, piecewise McCormick envelopes and multiparametric dis...
Univariate parameterization for global optimization of mixed-integer polynomial...
Teles, João P.; Castro, Pedro; Matos, Henrique A.This paper presents a new relaxation technique to globally optimize mixed-integer polynomial programming problems that arise in many engineering and management contexts. Using a bilinear term as the basic building block, the underlying idea involves the discretization of one of the variables up to a chosen accuracy level (Teles, J.P., Castro, P.M., Matos, H.A. (2013). Multiparametric disaggregation technique fo...
Parametric programming technique for global optimization of wastewater treatmen...
Teles, João P.; Castro, Pedro; Matos, Henrique A.This paper presents a parametric programming technique for the optimal design of industrial wastewater treatment networks (WTN) featuring multiple contaminants. Inspired in scientific notation and powers of ten, the proposed approach avoids the non-convex bilinear terms through a piecewise decomposition scheme that combines the generation of artificial flowrate variables with a multi-parameterization of the out...
LP-based heuristic procedure for the optimal design of water using networks wit...
Teles, João P.; Castro, Pedro; Barbosa-Póvoa, Ana Paula; Novais, Augusto Q.This paper proposes a new strategy for the optimal design of water-using networks in industrial systems featuring possibly more than a single water source and multiple contaminants. The model formulation is supported on a superstructure that exploits reuse opportunities and gives rise to a non-convex nonlinear which often leads to local optimal solutions. To overcome this, the new approach generates multiple in...
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