Optimization

Presenting tools to aid understanding of asymptotic theory and weakly dependent processes, this book is devoted to inequalities and limit theorems for sequences of random variables that are strongly mixing in the sense of Rosenblatt, or absolutely regular.

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives.

Dieses Lehrbuch gibt eine verständliche Einführung in die konvexe Analysis, die mathematische Sachverhalte einerseits stringent behandelt, sie aber andererseits auch sehr ausführlich motiviert und mit vielen Abbildungen illustriert.

This book presents the topology optimization theory for laminar flows with low and moderate Reynolds numbers, based on the density method and level-set method, respectively.

This book explores the extremely modular systems that meet two criteria: they allow the creation of structurally sound free-form structures, and they are comprised of as few types of modules as possible.

This book presents state-of-the-art research advances in the field of biologically inspired cooperative control theories and their applications.

This volume is the outcome of deliberations on formal methods in aerospace.

As the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS15), the proceedings of CoMFoS16 present further advances and new topics in mathematical theory and numerical simulations related to various aspects of continuum mechanics.

The book presents a set of novel, efficient and systematic concurrent multiscale optimization methods by considering the distribution of the material in macro-scale and the unit-cell configuration design in micro-scale simultaneously.

This book focuses primarily on the nature-inspired approach for designing smart applications.

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph.

Safe and high-efficiency operation are two main issues in rail transportation.

An innovative feature of this book is its econocentric structure, focusing on digital designs.

This book explores key examples concerning the implementation of information technology and mathematical modeling to solve issues concerning environmental sustainability.

Game theory is a branch of modern applied mathematics that aims to analyse various problems of conflict between parties that have opposed similar or simply different interests.

This book systematically discusses nonlinear interval optimization design theory and methods.

This book provides a systematic description about the development of Isogeometric Topology Optimization (ITO) method using the density, and then addresses the effectiveness and efficiency of the ITO method on several design problems, including multi-material structures, stress-minimization structures, piezoelectric structures and also with the uniform manufacturability, ultra-lightweight architected materials with extreme bulk/shear moduli, auxetic metamaterials and auxetic meta-composites with the NPRs behavior in microstructures.

This book discusses stochastic game theory and related concepts.

This volume contains select papers presented during the 4th  National Conference on Multidisciplinary Analysis and Optimization.

This book addresses remaining life prediction and predictive maintenance of equipment.

This book uses a small volume to present the most basic results for deterministic two-person differential games.

This book provides several inventory models for making the right decision in inventory management under different environments.

This book presents the latest researches on hypersonic steady glide dynamics and guidance, including the concept of steady glide reentry trajectory and the stability of its regular perturbation solutions, trajectory damping control technique for hypersonic glide reentry, singular perturbation guidance of hypersonic glide reentry, trajectory optimization based on steady glide, linear pseudospectral generalized nominal effort miss distance guidance, analytical entry guidance and trajectory-shaping guidance with final speed and load factor constraints.

This book introduces several mathematical models in assembly line balancing based on stochastic programming and develops exact and heuristic methods to solve them.

This book deals with several types of multi-dimensional control problems in the face of data uncertainty for vector cases-multi-dimensional multi-objective control problem with uncertain objective functionals, uncertain constraint functionals, and uncertain objective as well as constraint functionals, uncertain multi-dimensional multi-objective control problem with semi-infinite constraints, uncertain dual multi-dimensional multi-objective variational control problem, and second-order PDE&PDI constrained robust optimization problem.

This book gravitates on the prominent theories and recent developments of swarm intelligence methods, and their application in both synthetic and real-world optimization problems.

The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory.

This book develops the central aspect of fixed point theory - the topological fixed point index - to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics.

This book focuses on the design of decentralized optimization methods applied to charging strategies for large-scale PEVs in electrical power systems.

This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory.

This book investigates two types of static multi-fidelity surrogates modeling approaches, sequential multi-fidelity surrogates modeling approaches, the multi-fidelity surrogates-assisted efficient global optimization, reliability analysis, robust design optimization, and evolutionary optimization.

This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering.

This book brings together the latest findings on efficient solutions of multi/many-objective optimization problems from the leading researchers in the field.

The book discusses advantages of the firefly algorithm over other well-known metaheuristic algorithms in various engineering studies.

This book covers various topics regarding the design of compliant mechanisms using topology optimization that have attracted a great deal of attention in recent decades.

This book presents a wide range of optimization methods and their applications to various electrical power system problems such as economical load dispatch, demand supply management in microgrids, levelized energy pricing, load frequency control and congestion management, and reactive power management in radial distribution systems.

Machine learning heavily relies on optimization algorithms to solve its learning models.

This textbook covers microeconomic theory at the level of intermediate and advanced undergraduates.

This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences.

This book presents a comprehensive analysis of tax consequences in an oligopolistic market.

This book explores various renewal processes in the context of probability theory, uncertainty theory and chance theory.

This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the Robinson-Solow-Srinivasan (RSS) model.

This book discusses imaginary future generations and how current decision-making will influence those future generations.

This book provides the fundamental theory of distributed optimization, game and learning.

This book describes the interplay of mechanics, electronics, electrotechnics, automation and biomechanics.