Optimization is generally a reduction operation of a definite quantity.
This process naturally takes place in our environment and through our
activities. For example, many natural systems evolve, in order to
minimize their potential energy. Modeling these phenomena then largely
relies on our capacity to artificially reproduce these processes. In
parallel, optimization problems have quickly emerged from human
activities, notably from economic concerns. This book includes the most
recent ideas coming from research and industry in the field of
optimization, reliability and the recognition of accompanying
uncertainties. It is made up of eight chapters which look at the
reviewing of uncertainty tools, system reliability, optimal design of
structures and their optimization (of sizing, form, topology and
multi-objectives) - along with their robustness and issues on optimal
safety factors. Optimization reliability coupling will also be tackled
in order to take into account the uncertainties in the modeling and
resolution of the problems encountered. The book is aimed at students,
lecturers, engineers, PhD students and researchers.
Contents
1. Uncertainty.
2. Reliability in Mechanical Systems.
3. Optimal Structural Design.
4. Multi-object Optimization with Uncertainty.
5. Robust Optimization.
6. Reliability Optimization.
7. Optimal Security Factors Approach.
8. Reliability-based Topology Optimization.
About the Authors
Abdelkhalak El Hami is Professor at the Institut National des Sciences
Appliquées, Rouen, France. He is the author of many articles and books
on optimization and uncertainty.
Bouchaib Radi is Professor in the Faculty of Sciences and Technology at
the University of Hassan Premier, Settat, Morocco. His research
interests are in such areas as structural optimization, parallel
computation, contact problem and metal forming. He is the author of many
scientific articles and books.
