Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.9/2444
Título: Multi-parametric disaggregation technique for global optimization of polynomial programming problems
Autor: Teles, João P.
Castro, Pedro
Matos, Henrique A.
Palavras-chave: Polynomial
Mixed-integer linear programming
Data: 2013
Editora: Springer
Citação: Teles, J.P.; Castro, P.M.; Matos, H.A. Multi-parametric disaggregation technique for global optimization of polynomial programming problems. In: Journal of Global Optimization, 2013, Vol. 55, nº 2, p. 227-251 
Resumo: 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 elements, an upper/lower bounding mixed-integer linear program can be derived for minimization/maximization problems. It can then be solved to global optimality through standard methods, with the original problem being approximated to a certain precision level, which can be as tight as desired. Furthermore, this technique can also be applied to signomial problems with rational exponents, after a few effortless algebraic transformations. Numerical examples taken from the literature are used to illustrate the effectiveness of the proposed approach.
URI: http://hdl.handle.net/10400.9/2444
ISSN: 0925-5001
Versão do Editor: http://dx.doi.org/10.1007/s10898-011-9809-8
Aparece nas colecções:UAER - Artigos em revistas internacionais

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