Of course, using approximate Lipschitz constants of unknown quality implies that convergence to a global minimizer is no longer guaranteed. This involves the estimation of expectations and probabilities by sample averages, and bounds on the size of the required samples are derived. Part IV considers thirteen applications from different areas, mostly from the author's research and consulting practice, proceeding in each case from modeling by a Lipschitz global optimization problem to finding the solution of a sample problem. In the last case, the sample models are related to shallow lake modeling, water pollution transport, and river flow. The other problems are less generic, and involve optimal mixing, nutrient flow in ecological systems, inverse groundwater modeling, industrial wastewater management, river pollution management, lake eutrophication control, and environmental hazard management.
Many figures make the concepts, models and solutions more intelligible.
An appendix points the reader to more than 130 references with further applications, grouped by the field of application. In summary, this is a very valuable book for everyone interested in the actual use of global optimization techniques. The broad spectrum of ideas and applications covered, together with the easy-going style make the book also a useful source for a course on global optimization. Towards Global Optimization, Elsevier, New York 1975. Continuous Problems, Kluwer, Boston 1996.