Mathematical Modelling and Optimization of Engineering Problems

This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.

Chapter 1. Heuristic Techniques for Real-time Order Acceptance and Scheduling in Metal Additive Manufacturing .- Chapter 2. Developing A Nationwide Energy Storage Policy by Optimal Size and Site Selection .- Chapter 3. Pontryagin’s Principle for a Class of Discrete Time Infinite-horizon Optimal Growth Problems .- Chapter 4. A Medical Modelling Using Multiple Linear Regression .- Chapter 5. Lie group method solution for two-dimensional heat and viscous flow driven by injection through a deformable rectangular channel with porous walls.- Chapter 6. Optimal siting of wind turbines in a windfarm .- Chapter 7. RSM-based Optimization of Excitation Capacitance and Speed for a Self-Excited Induction Generator .- Chapter 8. Distance Constrained Vehicle Routing Problems: A Case Study using Artificial Bee Colony Algorithm.- Chapter 9. Fractional model for type 1 diabetes.- Chapter 10. Mathematical Modelling and Additive Manufacturing of a Gyroid.