by Isaac Elishakoff (Florida Atlantic University, USA) & Makoto Ohsaki (Kyoto University, Japan)

The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering.

• Optimization or Making the Best in Presence of Certainty/Uncertainty
• General Formulation of Anti-Optimization
• Anti-Optimization or Accounting for the Worst in Presence of Uncertainty: Static Case
• Anti-Optimization in Buckling
• Anti-Optimization in Vibration
• Anti-Optimization via FEM-Based Interval Analysis
• Anti-Optimization and Probabilistic Design
• Hybrid Optimization with Anti-Optimization under Uncertainty or Making the Best Out of the Worst