Modeling, Simulation, and Optimization of Supply Chains: A Continuous Approach

This book offers a state-of-the-art introduction to the mathematical theory of supply chain networks, focusing on supply chain networks described by partial differential equations (PDEs). The authors discuss modeling of complex supply networks as well as their mathematical theory; explore modeling, simulation, and optimization of some of the discussed models; and present analytical and numerical results on optimization problems. Real-world examples are given to demonstrate the applicability of the presented approaches. Audience: Graduate students and researchers who are interested in the theory of supply chain networks described by PDEs will find this book useful. It can also be used in advanced graduate-level courses on modeling of physical phenomena, as well as introductory courses on supply chain theory. Contents: Preface; Chapter 1: Introduction; Chapter 2: Mathematical Preliminaries Chapter 3: Basic Queueing Models; Chapter 4: Models Based on Ordinary Differential Equations; Chapter 5: Models Based on Partial Differential Equations; Chapter 6: Continuum-Discrete Models; Chapter 7: Control and Optimization Problem for Networks; Chapter 8: Computational Results; Bibliography; Index