A parametric optimization approach for multiobjective engineering problems involving discrete decisions

A decomposition-based algorithm is presented in this work for the parametric solution of mixed integer optimization problems and, in extension, the identification of the noninferior solutions in multiobjective optimization problems involving discrete decisions. The initial multiobjective problem is formulated as a parametric mixed integer nonlinear programming problem (pMINLP) and an upper- and lower-bounding method is developed for the construction of the noninferior solution curve in an iterative procedure. (C) 1998 Elsevier Science Ltd. All rights reserved.