Retrospective on optimization

In this paper we provide a general classification of mathematical optimization problems, followed by a matrix of applications that shows the areas in which these problems have been typically applied in process systems engineering. We then provide a review of solution methods of the major types of optimization problems for continuous and discrete variable optimization, particularly nonlinear and mixed-integer nonlinear programming. We also review their extensions to dynamic optimization and optimization under uncertainty. While these areas are still subject to significant research efforts, the emphasis in this paper is on major developments that have taken place over the last twenty five years.

• Type: Journal
• Year: 2004
• Where: CCE
• Authors: Lorenz T. Biegler, Ignacio E. Grossmann
• Keywords: CCE 2004, CCE 2007, Discrete Variable Optimization, Mathematical Optimization Problems, Optimization Problems