Research challenges, opportunities and synergism in systems engineering and computational biology

Christodoulos A. Floudas
2005 AIChE Journal  
Global optimization addresses the computation and characterization of global minima and maxima of a nonconvex objective function subject to a nonconvex set of equality and inequality constraints. There are five primary objectives in deterministic global optimization: (1) determine an epsilonglobal minimum with theoretical guarantee; (2) calculate valid and tight lower and upper bounds on the global minimum; (3) identify an ensemble of good quality local solutions close to the global minimum;
more » ... enclose all solutions of the equality and inequality constraints; and (5) prove whether a constrained nonlinear optimization problem is feasible or infeasible. It is important to emphasize that even though objectives (1), (4), and (5) are the ultimate targets from the mathematical analysis viewpoint, it is objectives (2) and (3) that are of major importance and greater potential impact in a variety of engineering applications.
doi:10.1002/aic.10620 fatcat:4hgnhia5lnd5zpraheedpgtbpm