Optimal Dating Algorithms

A revolutionary book from the stand-up mathematician that makes math fun again--now in paperback!Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the

"This book explores how to optimize power system performance by analyzing a number of power system optimization problems such as optimal power flow (OPF) and OPF incorporating flexible AC transmission

This book helps readers utilize the theory of optimal control to solve practical problems in the face of uncertainty. It offers hundreds of problems and worked examples, and a CD-ROM supplement contai

The 21 papers consider theory, algorithms, and applications in a wide range of fields including aerospace design, operating hydroelectric power stations, and chemical engineering. The topics include u

Presenting an optimal energy distribution strategy for microgrids in a smart grid environment, and featuring a detailed analysis of the mathematical techniques of convex optimization and online algori

This book presents efficient metaheuristic algorithms for optimal design of structures. Many of these algorithms are developed by the author and his colleagues, consisting of Democratic Particle Swarm

This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematic

This book presents efficient metaheuristic algorithms for optimal design of structures. Many of these algorithms are developed by the author and his colleagues, consisting of Democratic Particle Swarm

Solving optimization problems in complex systems often requires the implementation of advanced mathematical techniques. Quadratic programming (QP) is one technique that allows for the optimization of

Evolutionary algorithms are bio-inspired algorithms based on Darwin’s theory of evolution. They are expected to provide non-optimal but good quality solutions to problems whose resolution is imp

探討如何將電腦科學中的演算法原理應用到日常生活與人類決策中。作者結合心理學、認知科學與計算機科學，說明演算法不僅是電腦解題的工具，更是我們在面對生活難題時可借鑑的思考模型。本書涵蓋多種實用議題，透過演算法的視角來處理生活中的決策與權衡，例如：➤最佳停下時機（Optimal Stopping）：如何判斷在眾多選項中何時停止尋找並做出決定，如招聘或約會。➤探索與利用的平衡（Explore-Exploit Trade-off）：何時探索新機會，何時利用已知資源。➤排序與組織：提升查找效率的策略。➤快取管理：如何在有限記憶空間中有效保留重要資訊。➤工作排程與切換成本：如何管理多任務與優先順序。➤貝氏定理（Bayes's Rule）：結合先驗知識與新資訊做出推論。➤放寬問題限制：在無解或計算困難的情況下，尋求「夠好」的近似解。➤隨機性與資源管理：利用隨機策略在不確定環境下取得良好結果。➤網絡與遊戲理論：理解互動系統與多方利益的決策動態。書中強調，雖然演算法能為複雜問題提供指導，但現實生活中決策仍存在不確定性和失敗風險。重要的是採用合理的策略來面對時間與資源限制，並學習在不完美中作出最佳抉擇。該書還指出，人類在面對計算難題時，常能透過直覺和簡化模型達成驚人的表現。此書獲得廣泛好評，被譽為一本能讓人重新認識「演算法」不僅屬於科技領域，更是生活智慧的指導手冊。A fascinating exploration of how computer algorithms can be applied to our everyday lives. What should we do, or leave undone, in a day or a lifetime? Exploring how insights from computer algorithms can be applied to our everyday lives, 'Algorithms To Live By' helps to solve common decision-making problems and illuminate the workings of the human mind. When should you switch between different tasks, and how many tas

A book from the stand-up mathematician that makes math fun again!Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it’s als

Explore the frontier of device engineering by applying optimization to nanoscience and device design. This cutting-edge work shows how robust, manufacturable designs that meet previously unobtainable system specifications can be created using a combination of modern computer power, adaptive algorithms, and realistic device-physics models. Applying this method to nanoscience is a path to creating new devices with new functionality, and it could be the key design element in making nanoscience a practical technology. Basic introductory examples along with MATLAB code are included, through to more formal and sophisticated approaches, and specific applications and designs are examined. Essential reading for researchers and engineers in electronic devices, nanoscience, materials science, applied mathematics, and applied physics.

Optimal Reliability Design, first published in 2000, provides a detailed introduction to systems reliability and reliability optimization. Techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book begins with a review of key background material, and a discussion of a range of optimization models. The authors go on to cover optimization tools, such as heuristics, discrete optimization, nonlinear programming, mixed integer programming, optimal arrangement, and metaheuristic algorithms. They also describe the computational implementation of these tools. Many numerical examples are included, and the book contains over 180 homework exercises. It is suitable as a textbook for graduate-level co

Optimal Reliability Design, first published in 2000, provides a detailed introduction to systems reliability and reliability optimization. Techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book begins with a review of key background material, and a discussion of a range of optimization models. The authors go on to cover optimization tools, such as heuristics, discrete optimization, nonlinear programming, mixed integer programming, optimal arrangement, and metaheuristic algorithms. They also describe the computational implementation of these tools. Many numerical examples are included, and the book contains over 180 homework exercises. It is suitable as a textbook for graduate-level co

This book is a compilation of recent research on distributed optimization algorithms for the integral load management of plug-in electric vehicle (PEV) fleets and their potential services to the elect

This text provides a basis for the analysis of optimization models and candidate optimal solutions, especially for continuous optimization models. The treatment focuses on the analysis and algebra tha

Optimal Design of Distributed Control and Embedded Systems focuses on the design of special control and scheduling algorithms based on system structural properties as well as on analysis of the influe

This thesis presents a wholly new technique in the structural analysis of data that uses a ‘greedy’ algorithm to derive optimal sparse solutions, enabling faster and more accurate results in formerly

This book focuses on a development of optimal, flexible, and efficient models and algorithms for cell formation in group technology. Its main aim is to provide a reliable tool that can be used by mana

Shows how approximate dynamic programming can be used to design a family of adaptive optimal control algorithms that converge in real time to optimal control solutions by measuring data along the syst

Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses

Several geometric problems can be formulated in terms of the arrangement of a collection of curves in a plane, which has made this one of the most widely studied topics in computational geometry. This book, first published in 1991, presents a study of various problems related to arrangements of lines, segments, or curves in the plane. The first problem is a proof of almost tight bounds on the length of (n,s)-Davenport–Schinzel sequences, a technique for obtaining optimal bounds for numerous algorithmic problems. Then the intersection problem is treated. The final problem is improving the efficiency of partitioning algorithms, particularly those used to construct spanning trees with low stabbing numbers, a very versatile tool in solving geometric problems. A number of applications are also discussed. Researchers in computational and combinatorial geometry should find much to interest them in this book.

A fixed-parameter is an algorithm that provides an optimal solution to a combinatorial problem. This research-level text is an application-oriented introduction to the growing and highly topical area

This second edition takes account of latest developments in optimization theory and practice. New material includes a discussion of trust region and convex approximation algorithms, how to construct o

Discover the subject of optimization in a new light with this modern and unique treatment. Includes a thorough exposition of applications and algorithms in sufficient detail for practical use, while providing you with all the necessary background in a self-contained manner. Features a deeper consideration of optimal control, global optimization, optimization under uncertainty, multiobjective optimization, mixed-integer programming and model predictive control. Presents a complete coverage of formulations and instances in modelling where optimization can be applied for quantitative decision-making. As a thorough grounding to the subject, covering everything from basic to advanced concepts and addressing real-life problems faced by modern industry, this is a perfect tool for advanced undergraduate and graduate courses in chemical and biochemical engineering.

This book presents the latest developments in optimization and optimal control models; exact, approximate and hybrid methods; and their applications in lean and green supply chains. It examines supply

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The complexity of modern supply chains requires decision makers in logistics to work with a set of efficient (Pareto optimal) solutions, mainly to catch different economic aspects for which one optim