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This paper presents an overview of the research progress in deterministic global optimization during the last decade (1998–2008). It covers the areas of twice continuously differentiable nonlinear optimization, mixed-integer nonlinear optimization, optimization with differential-algebraic models, semi-infinite programming, optimization with grey(More)
Reaction mappings are of fundamental importance to researchers studying the mechanisms of chemical reactions and analyzing biochemical pathways. We have developed an automated method based on integer linear optimization, ILP, to identify optimal reaction mappings that minimize the number of bond changes. An alternate objective function is also proposed that(More)
This paper contemplates the amenability of Robust Optimization to address problems that involve en-dogenous uncertainty, i.e., uncertainty that is affected by the decision maker's strategy. To that end, we extend generic polyhedral uncertainty sets that are typically considered in RO into sets that depend on the actual decisions. Such dependency allows us(More)