Springer, 2019. — 297 p. — (Springer Optimization and Its Applications 149). — ISBN: 978-3-030-22787-6.
In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. The large scale optimization methods are represented by various theories such as Benders’ decomposition, logic-based Benders’ decomposition, Lagrangian relaxation, Dantzig –Wolfe decomposition, multi-tree decomposition, Van Roy’ cross decomposition and parallel decomposition for mathematical programs such as mixed integer nonlinear programming and stochastic programming.
Case studies of large scale optimization in supply chain management, smart manufacturing, and Industry 4.0 are investigated with efficient implementation for real-time solutions. The features of case studies cover a wide range of fields including the Internet of things, advanced transportation systems, energy management, supply chain networks, service systems, operations management, risk management, and financial and sales management.
Instructors, graduate students, researchers, and practitioners, would benefit from this book finding the applicability of large scale optimization in asynchronous parallel optimization, real-time distributed network, and optimizing the knowledge-based expert system for convex and non-convex problems.
Logic-Based Benders Decomposition for Large-Scale Optimization
Multi-Tree Decomposition Methods for Large-Scale Mixed Integer Nonlinear Optimization
Kantorovich–Rubinstein Distance Minimization: Application to Location Problems
Dynamic Energy Management
An Embarrassingly Parallel Method for Large-Scale Stochastic Programs
An Outer Approximation Algorithm for Capacitated Disassembly Scheduling Problem with Parts Commonality and Random Demand
An Approximation-Based Approach for Chance-Constrained Vehicle Routing and Air Traffic Control Problems
The Vector Optimization Method for Solving Integer Linear Programming Problems: Application for the Unit Commitment Problem in Electrical Power Production
Algorithmic Mechanism Design for Collaboration in Large-Scale Transportation Networks