Optimization Concepts and Applications in Engineering

In this revised and enhanced second edition of Optimization Concepts and Applications in Engineering, the already robust pedagogy has been enhanced with more detailed explanations, an increased number of solved examples and end-of-chapter problems. The source codes are now available free on multiple platforms. It is vitally important to meet or exceed previous quality and reliability standards while at the same time reducing resource consumption. This textbook addresses this critical imperative integrating theory, modeling, the development of numerical methods, and problem solving, thus preparing the student to apply optimization to real-world problems. This text covers a broad variety of optimization problems using: unconstrained, constrained, gradient, and non-gradient techniques; duality concepts; multiobjective optimization; linear, integer, geometric, and dynamic programming with applications; and finite element-based optimization. It is ideal for advanced undergraduate or graduate courses and for practising engineers in all engineering disciplines, as well as in applied mathematics.1. Preliminary concepts; 2. One dimensional unconstrained minimization; 3. Unconstrained optimization; 4. Linear programming; 5. Constrained minimization; 6. Penalty functions, duality, and geometric programming; 7. Direct search methods for nonlinear optimization; 8. Multiobjective optimization; 9. Integer and discrete programming; 10. Dynamic programming; 11. Optimization applications for transportation, assignment, and network problems; 12. Finite element based optimization.