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https://hdl.handle.net/10316/7671
Title: | A multi-parametric programming approach for multilevel hierarchical and decentralised optimisation problems | Authors: | Faísca, Nuno Saraiva, Pedro Rustem, Berç Pistikopoulos, Efstratios |
Issue Date: | 2007 | Abstract: | Abstract In this paper, we outline the foundations of a general global optimisation strategy for the solution of multilevel hierarchical and general decentralised multilevel problems, based on our recent developments on multi-parametric programming and control theory. The core idea is to recast each optimisation subproblem, present in the hierarchy, as a multi-parametric programming problem, with parameters being the optimisation variables belonging to the remaining subproblems. This then transforms the multilevel problem into single-level linear/convex optimisation problems. For decentralised systems, where more than one optimisation problem is present at each level of the hierarchy, Nash equilibrium is considered. A three person dynamic optimisation problem is presented to illustrate the mathematical developments. | URI: | https://hdl.handle.net/10316/7671 | DOI: | 10.1007/s10287-007-0062-z | Rights: | openAccess |
Appears in Collections: | FCTUC Eng.Química - Artigos em Revistas Internacionais |
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