Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications PDF

The remaining chapters of this book form three parts. Part 1 presents the fundamental notions of convex analysis, the basic theory of nonlinear unconstrained and constrained optimization, and the basics of duality theory. Part 1 acquaints the reader with the important aspects of convex analysis and nonlinear optimization without presenting the proofs of the theoretical results and the algorithmic details which can be found in several other textbooks. The main objective of Part 1 is to prepare the reader for Part 2. Part 2 introduces first the elementary notions of mixed-integer linear optimization and focuses subsequently on the theoretical and algorithmic developments in mixed-integer nonlinear optimization. Part 3 introduces first the generic problems in the area of Process Synthesis, discusses key ideas in the mathematical modeling of process systems, and concentrates on the important application areas of heat exchanger networks, separation system synthesis, and reactor-based system synthesis.