Linear Network Optimization

This valuable source for graduate students and researchers provides a comprehensive introduction to current theories and applications in optimization methods and network models. Contributions to this

Optimization is used to determine the most appropriate value of variables under given conditions. The primary focus of using optimisation techniques is to measure the maximum or minimum value of a function depending on the circumstances. This book discusses problem formulation and problem solving with the help of algorithms such as secant method, quasi-Newton method, linear programming and dynamic programming. It also explains important chemical processes such as fluid flow systems, heat exchangers, chemical reactors and distillation systems using solved examples. The book begins by explaining the fundamental concepts followed by an elucidation of various modern techniques including trust-region methods, Levenberg–Marquardt algorithms, stochastic optimization, simulated annealing and statistical optimization. It studies the multi-objective optimization technique and its applications in chemical engineering and also discusses the theory and applications of various optimization software

This book addresses R&D and standardization activities on LTE small cells and network optimization, focusing on 3GPP evolution to Release 13. In addition, the book is written by experts from Renes

Optimization is ubiquitous in power system engineering. Drawing on powerful, modern tools from convex optimization, this rigorous exposition introduces essential techniques for formulating linear, second-order cone, and semidefinite programming approximations to the canonical optimal power flow problem, which lies at the heart of many different power system optimizations. Convex models in each optimization class are then developed in parallel for a variety of practical applications like unit commitment, generation and transmission planning, and nodal pricing. Presenting classical approximations and modern convex relaxations side-by-side, and a selection of problems and worked examples, this is an invaluable resource for students and researchers from industry and academia in power systems, optimization, and control.

The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will

Emphasizing practical understanding over the technicalities of specific algorithms, this elegant textbook is an accessible introduction to the field of optimization, focusing on powerful and reliable convex optimization techniques. Students and practitioners will learn how to recognize, simplify, model and solve optimization problems - and apply these principles to their own projects. A clear and self-contained introduction to linear algebra demonstrates core mathematical concepts in a way that is easy to follow, and helps students to understand their practical relevance. Requiring only a basic understanding of geometry, calculus, probability and statistics, and striking a careful balance between accessibility and rigor, it enables students to quickly understand the material, without being overwhelmed by complex mathematics. Accompanied by numerous end-of-chapter problems, an online solutions manual for instructors, and relevant examples from diverse fields including engineering, data

This book adopts a linear optimization method and introduces a dynamic optimization simulation model for analyzing synthetic environmental policies as endogenous variables in order to improve the envi

This textbook presents a theoretical treatment of linear programming, network flows and applications, integer programming, and computational complexity. The author includes a rigorous discussion of th

Written in a unique style, this book is a valuable resource for faculty, graduate students, and researchers in the communications and networking area whose work interfaces with optimization. It teaches you how various optimization methods can be applied to solve complex problems in wireless networks. Each chapter reviews a specific optimization method and then demonstrates how to apply the theory in practice through a detailed case study taken from state-of-the-art research. You will learn various tips and step-by-step instructions for developing optimization models, reformulations, and transformations, particularly in the context of cross-layer optimization problems in wireless networks involving flow routing (network layer), scheduling (link layer), and power control (physical layer). Throughout, a combination of techniques from both operations research and computer science disciplines provides a holistic treatment of optimization methods and their applications. Each chapter includes

The work establishes the design flow for the optimization of linear CMOS power amplifiers from the first steps of the design to the final IC implementation and tests. The authors also focuses on desig

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

Thisgraduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete

This introduction to optimization emphasizes the need for both a pure and an applied mathematical point of view. Beginning with a chapter on linear algebra and Euclidean geometry, the author then applies this theory with an introduction to linear programming. There follows a discussion of convex analysis, which finds application in non-linear programming. The book ends with an extensive commentary to the exercises that are given at the end of each chapter. The author's straightforward, geometrical approach makes this an attractive textbook for undergraduate students of mathematics, engineering, operations research and economics.

A standard reference on the application of network theory to the design of automatic control systems. The 1943 printing of The Analysis and Synthesis of Linear Servomechanisms was classified as rest

《富比世》評選全球最具影響力行銷長亞歷克斯．舒茲淬鍊20年實戰經驗的數位行銷權威版★「如果沒有亞歷克斯的努力，臉書社群就無法將全球二十多億人連結在一起。」――馬克．祖克伯，Meta執行長★「（作者是）數位成長行銷領域名副其實的世界級專家……你不該忽視這本書。」――山姆．奧特曼，OpenAI執行長「點擊」是數位行銷的成功關鍵。只有有效點擊，才能將顧客興趣轉化為行動。然而，在實務上，數位行銷遠比想像中困難：預算難以掌控、成效難以評估，甚至連是否真正帶來獲利都說不清楚。當你無法釐清哪些行銷活動真的有效，他人的成功經驗往往也無法複製。行銷人不需要更多工具，而是一套拆解數位行銷運作邏輯並可直接應用的方法，幫你找出最適合產品或服務的策略。本書正是這樣的指南。作者亞歷克斯．舒茲是Meta行銷長，也是Facebook成長團隊的核心成員，參與打造全球數十億用戶規模的產品，並親歷企業從停滯到高速擴張的關鍵轉折，深刻理解行銷如何驅動規模與營收成長。● 建立核心架構：從轉換、管道、投放到素材選擇。● 提升投資報酬：辨識增幅效果，把預算花在刀口。● 強化成效衡量：建立可信任的數據，正確判讀結果。● 駕馭關鍵管道：拆解四大行銷管道的最佳應用方法。● 應對AI挑戰：工具持續演變，掌握不變的原則才能勝出。當方法正確且能穩定帶來轉換，成長就不再仰賴運氣，而是可以被驗證、被放大的結果。無論你在大型企業或新創團隊，本書都是提升決策品質與行銷成效的必讀之作。★各界盛讚★「很少人比亞歷克斯更理解行銷與成長，這歸功於他在臉書的多年經驗，這家公司無疑是全球在行銷和企業成長上表現最耀眼的組織之一。本書把這些洞見提煉成每個創辦人、行銷人員和執行者所需的實用和可行策略。」――丹尼爾．埃克（Daniel Ek），Spotify執行長「身為數十年來數位行銷界最頂尖的思想家與實踐者，亞歷克斯為任何規模的企業、任何層級的行銷人員提供非常重要的資源，告訴他們如何確保花每一塊錢都能創造更好的報酬。」――賽斯．麥特林斯（Seth Matlins），《富比世》CMO Network總經理「如果數位時代有行銷碩士課程，本書就是唯一的教材。想讓成效翻倍甚至倍增，就照書中的方法去做。」――安德魯．羅伯遜（Andrew Robertson），BBDO Worldwide 董事長「不懂行銷的人該讀，自認懂行銷的人更該讀。這是一本從過去出發、帶

《多巴胺國度》作者安娜．蘭布克醫師、《誰偷走了你的專注力？》作者約翰．海利等名家權威推薦！Amazon亞馬遜2025年度最佳圖書編輯精選三分天注定、七分靠打拼、愛拚才會贏⋯⋯但讓你更好的，是那些「很廢」的時刻！我們從小被教導要把時間用到極致：別拖延、要有效率、每一分每一秒都不許浪費。但真正改變人生的，往往不是「多做一點」，而是讓大腦停下來。★你過勞了嗎？肆虐全球的「工作大流行」長時間工作，已不只是個人選擇，而是全球性的結構問題。研究指出，約有近一成的人口長期超時工作，從嬰兒潮世代到MZ世代，過勞不分年齡與產業界線，成為現代職場的常態。長期高壓工作已與憂鬱、焦慮、心血管疾病及過勞死高度相關。以日本為例，官方統計每年約有400件因過勞中風、心臟病發或自殺的案例，累計下來的死亡人數等同於強震或海嘯奪走的性命。在台灣，勞工平均工時長期居高不下，過勞風險同樣不容忽視。2024年的平均工時高達2030小時，位居全球第五、亞洲第二。根據勞保局統計，平均每11天就有一名勞工因過勞死亡。面對這場沒有病毒、卻持續消耗身心的「工作大流行」，神經科學家約瑟．傑貝利博士融合最新研究、親身經歷與實用建議，帶領讀者一探為何「什麼也不做」，反而是大腦最需要的修復關鍵。★「腦霧」拉警報！神經系統進入保護模式效率下滑、記憶卡頓、情緒不穩……這些症狀不是「懶散」或「意志不堅」，而是大腦在過度運轉後啟動的神經性煞車。研究顯示當人長期操勞、持續專注、逼自己撐過極限時，大腦會出現一連串危險變化――掌管決策與專注的額葉皮質變薄、負責記憶的海馬迴萎縮、情緒中樞的杏仁核體積增大，使人變得焦慮、易怒、健忘，甚至難以判斷未來。大腦自動降低功能、鎖住注意力、封印創造力，使出渾身解數保護自己，全都是為了讓你能夠活下去。★工作狂文化有代價，「預設網路」是關鍵解方最新研究證實，當人停止專注、讓腦袋放空時，大腦中名為「預設網路」（Default Network）的核心系統會瞬間啟動。它是整合記憶、修復情緒、梳理資訊、生成創意、強化決策的重要幕後推手。預設網路會在人睡覺、做白日夢、玩遊戲、運動時高速運轉。這些「留白時間」最為關鍵，能讓靈感乍現、情緒緩和，並解決各式各樣的難題。換句話說，你愈放鬆，反而能成就得愈多！許多重大創意與突破，往往不是誕生於高度專注的時刻，而是在休息、神遊與放鬆之中。瑪麗．雪萊睡一覺寫出名作《科學怪人》、JK

如何突破被科技巨獸掌控的社群平台？知名媒體評論家從心理到技術創意的分析和陪伴，帶你重新奪回你的網際網路！唐鳳 推薦林穎資（烏特列支大學地理系、INC客座研究員）黃豆泥（分散自治與數位主權探求者，前數發部工程師） 黃祥昀（哲學與社會學背景的策展人與創作者）專文推薦社群平台衍生各式難解的困境，大至結構制度失衡的雲端封建主義，小至個人層次的doomscrolling（像殭屍一樣，盲目地滑動捲動，不再意識到自己在做什麼）。在資訊超載的失序狀態下，我們越來越自戀，越來越習慣公開談論自我的內心，也越來越憂鬱。不僅如此，我們還越來越容易受到陰謀論和假新聞的影響，也容易被引戰。我們都意識到這個現象，卻奮不顧身、持續被社群平台綁架，不論是心甘情願或放棄抵抗。這一切不是我們自恃不足，更多是平台本身Sad by Design （你的悲傷是被設計出來的）。曾經，網際網路許諾了一個光明的未來，是人類追求平等解放的道路。結果卻在歷史洪流的發展中，轉變成問題的一部分，無法扭轉從自身蘊生的破壞力。在當今生態、經濟、金融危機相互交織、彼此影響的「危機的堆疊」裡，網際網路的失敗更加深了危機的不可解。設計，不然就等著被設計（program or be programmed）！作者是歐陸知名媒體理論家，也是網絡文化研究所（Institute of Network Cultures）的創始人。他從哲學和媒體理論的觀察出發，綜論各種變革的可能間隙，實驗各種可能的替代平台，他認為我們得放棄一體適用的解決方案，轉而尋求一系列多樣化、因地制宜的網路工具，來協助完成特定的工作。任何天馬行空的想像力都是起點。在本書裡，作者探討網際網路的困境，診斷我們目前所處的停滯階段，同時也探問如何「解困」，把平台變得不那麼平台。作者認為社群平台已經凌駕原先網際網路的角色，我們必須等待時機，將這兩者適當區分開來，以修復破碎的網路，建立「會面點」。社群平台的目的是進行經濟交流和搾取數據，「會面點」的目的則是創造共通性。「會面點」可以有千千萬萬個跳躍連結，然而在扁平而缺乏深度的社群平台裡，可能性非常有限。在這個故事裡，終極解決之道並不是替代平台的崛起，而是群眾奪回鄉民的能動性與對網際網路的想像力。集體退散卡住眾生的平台，轉而建立自主協作，創造連結動能的網絡。行動的第一步，始自對於數位衰退的深刻理解。【推薦語】本書金句不斷，將許多我們日常中

你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。★內容簡介你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。暢銷賽斯書《靈魂永生》和《個人實相的本質》的作者珍．羅伯茲（1929-1984），也是全世界最具影響力的形而上學老師之一，再度推出的傳世經典。聆聽賽斯傳承靈性世界源源不絕的智慧，珍以她過人的心靈能力和傑出的文筆為我們轉述。她透過本書把賽斯以及賽斯探討各項重要議題的資料提綱挈領地介紹給讀者，本書内容不但能讓讀者對自己的人格和處境都有更深的洞察力，對身心靈的整體健康也大有助益。珍的這本經典之作，《靈界的訊息》，真的轉化了我的生命，讓我在個人增強能量的路途上加快腳步。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。 ――瑞克．史塔克（Rick Stack） 新覺察網絡公司（New Awareness Network inc.）總裁曁《三十天學會靈魂出體》作者★推薦本書提到了創世紀的三個兩難之局，從為何宇宙要開始這無止盡的神聖創造遊戲，到行動與本體之間的微妙平衡，以及人格與自我的誕生，每每令我深思不已，尤其對於「完美中的不完美」及「統一中的分離」，總令我覺得，有一種極深的透視、極深的思念。――許添盛醫師賽斯資料完全改變了我對「實相本質」的概念，並加強了我的本體感。我不再像以前那樣感覺人是時間、疾病和衰敗的奴隸，被他自己無法控制的先天破壞傾向左右。我從未像現在這樣感覺自己能掌握自己的命運，而不再被我童年時期由潛意識設定的模式控制。――珍．羅伯茲（Jane Roberts）

你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。★內容簡介你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。暢銷賽斯書《靈魂永生》和《個人實相的本質》的作者珍．羅伯茲（1929-1984），也是全世界最具影響力的形而上學老師之一，再度推出的傳世經典。聆聽賽斯傳承靈性世界源源不絕的智慧，珍以她過人的心靈能力和傑出的文筆為我們轉述。她透過本書把賽斯以及賽斯探討各項重要議題的資料提綱挈領地介紹給讀者，本書内容不但能讓讀者對自己的人格和處境都有更深的洞察力，對身心靈的整體健康也大有助益。珍的這本經典之作，《靈界的訊息》，真的轉化了我的生命，讓我在個人增強能量的路途上加快腳步。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。 ――瑞克．史塔克（Rick Stack） 新覺察網絡公司（New Awareness Network inc.）總裁曁《三十天學會靈魂出體》作者★推薦本書提到了創世紀的三個兩難之局，從為何宇宙要開始這無止盡的神聖創造遊戲，到行動與本體之間的微妙平衡，以及人格與自我的誕生，每每令我深思不已，尤其對於「完美中的不完美」及「統一中的分離」，總令我覺得，有一種極深的透視、極深的思念。――許添盛醫師賽斯資料完全改變了我對「實相本質」的概念，並加強了我的本體感。我不再像以前那樣感覺人是時間、疾病和衰敗的奴隸，被他自己無法控制的先天破壞傾向左右。我從未像現在這樣感覺自己能掌握自己的命運，而不再被我童年時期由潛意識設定的模式控制。――珍．羅伯茲（Jane Roberts）

你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。★內容簡介你在聽嗎？你內在擁有豐沛的知識，如活泉般潤澤你的生命，只要你願意傾聽它源源不絕的訊息。暢銷賽斯書《靈魂永生》和《個人實相的本質》的作者珍．羅伯茲（1929-1984），也是全世界最具影響力的形而上學老師之一，再度推出的傳世經典。聆聽賽斯傳承靈性世界源源不絕的智慧，珍以她過人的心靈能力和傑出的文筆為我們轉述。她透過本書把賽斯以及賽斯探討各項重要議題的資料提綱挈領地介紹給讀者，本書内容不但能讓讀者對自己的人格和處境都有更深的洞察力，對身心靈的整體健康也大有助益。珍的這本經典之作，《靈界的訊息》，真的轉化了我的生命，讓我在個人增強能量的路途上加快腳步。本書天衣無縫地融合賽斯的語錄和珍的解釋，以一種特別清楚明瞭、易懂的方式，呈現内在實相和外在實相的本質，以及我們全都擁有的那種強大無比的療癒和創造力量。以一種喚醒人心又令人喜悦的觀點，來看待每個人最重要的關係，也就是我們和自身靈魂的關係。 ――瑞克．史塔克（Rick Stack） 新覺察網絡公司（New Awareness Network inc.）總裁曁《三十天學會靈魂出體》作者★推薦本書提到了創世紀的三個兩難之局，從為何宇宙要開始這無止盡的神聖創造遊戲，到行動與本體之間的微妙平衡，以及人格與自我的誕生，每每令我深思不已，尤其對於「完美中的不完美」及「統一中的分離」，總令我覺得，有一種極深的透視、極深的思念。――許添盛醫師賽斯資料完全改變了我對「實相本質」的概念，並加強了我的本體感。我不再像以前那樣感覺人是時間、疾病和衰敗的奴隸，被他自己無法控制的先天破壞傾向左右。我從未像現在這樣感覺自己能掌握自己的命運，而不再被我童年時期由潛意識設定的模式控制。――珍．羅伯茲（Jane Roberts）

序言 《圖解醫學統計學》是專為醫學系學生、醫學研究人員、生物醫學領域的研究生以及醫藥從業人員而設計。這些人在其職業生涯中有時會碰到量化的數據結果（自己或他人的），需要嚴謹的評估與解釋，其中有些還需要通過可怕的統計考試！針對這些需求，重要的是要理解正確的統計概念和方法。我們很務實的，希望燃起讀者對統計的熱情。如同前一個版本，本版的目標，是提供處理醫學文獻統計概念的學生、研究人員和臨床工作者，一本內容嚴謹、易於閱讀、具全面性、切合主題且實用的應用書籍。我們相信《圖解醫學統計學》會是一本特別有用的統計課程參考指南。第 四 版 的 架構， 與 前 三 版 相 同。 如 同「at a Glance」系列的其他書一樣，藉由兩到三頁，或是四頁的章節引導讀者，每個章節分別說明醫學統計學的不同面向。文中有大量的交叉應用，方便讀者在不同的過程做連結。我們從自己的教學經驗中汲取了寶貴的見解，並考慮學生學習醫學統計時遇過的困難。基於此，我們選擇將書中的理論內容控制在足以理解相關統計方法的範圍內，以確保理論不會掩蓋其實際應用的可行性。醫學統計學是一門包含許多主題，內容廣泛的學科。本書提供基本概念的入門介紹，以及常用的統計方法。流行病學，是門研究特定人口疾病的分布和起因的學科，與醫學統計學有緊密的關聯。因此，會討論到流行病學中關於實驗設計和解釋的主要議題。有些章節，偶爾才會使用，但卻是許多醫學研究領域中的基礎，像是實證醫學、系統回顧、統合分析、存活分析、貝氏方法，以及建立預後評分。我們講解了這些章節的原理，讓讀者看到相關文獻時，能夠看懂且能判讀其結果。附錄 A 中，有許多基本的統計表。例如，Neave, H R (1995) 統 計 表 格，Routledg: 倫 敦 和 Diem, K , Lenter, C , 及 Seldrup (1981) 的 Geigy 科學表格第 8 版的文獻及書目檔案，Basle: Ciba-Geigy 及其他人的更完整版本，可提供讀者需要更精確的手算結果時使用。第四版中，新增了附錄 D。這個附錄包含隨機對照試驗（CONSORT 檢核清單和流程圖）和觀察型研究 （STROBE 檢核清單）的指引。CONSORT 和 STROBE檢核清單是由 EQUATOR Network 製成，初始目標在於提供健康研究的資源和訓練。研究結果的呈現指引已經用於許多其他類型的研究，我

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and

Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

The advanced text covers dynamical systems, single variable and multi-variable optimization, linear algebra, advanced model fitting techniques, game theory, and multi-attribute decision processes.

Integer linear programming (ILP) is a versatile modeling and optimization technique that is increasingly used in non-traditional ways in biology, with the potential to transform biological computation. However, few biologists know about it. This how-to and why-do text introduces ILP through the lens of computational and systems biology. It uses in-depth examples from genomics, phylogenetics, RNA, protein folding, network analysis, cancer, ecology, co-evolution, DNA sequencing, sequence analysis, pedigree and sibling inference, haplotyping, and more, to establish the power of ILP. This book aims to teach the logic of modeling and solving problems with ILP, and to teach the practical 'work flow' involved in using ILP in biology. Written for a wide audience, with no biological or computational prerequisites, this book is appropriate for entry-level and advanced courses aimed at biological and computational students, and as a source for specialists. Numerous exercises and accompanying soft

This book focuses on the suitable methods to solve optimization problems in wireless network system utilizing digital sensors like Wireless Sensor Network. This kind of system has been emerging as the

This new edition covers linear and nonlinear methods as well as optimization, numerical simulation, and eigenvalue methods. Independent of the implementation approach, this book includes numerical exa

This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unkn

This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions

Exploring the overlap of mathematics and engineering network synthesis, this book presents a rigorous treatment of the key principles underpinning linear lumped passive time-invariant networks. Based around a series of lectures given by the author, this thoughtfully written book draws on his wide experience in the field, carefully revealing the essential mathematical structure of network synthesis problems. Topics covered include passive n-ports, broadband matching, the design of passive multiplexes and two-state passive devices. It also includes material not usually found in existing texts, such as the theoretical behavior of transverse electromagnetic (TEM) coupled transmission lines. Introducing fundamental principles in a formal theorem-proof style, illustrated by worked examples, this book is an invaluable resource for graduate students studying linear networks and circuit design, academic researchers, and professional circuit engineers.

This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions

Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H ? optimization. The fact that most new industrial controllers are digi

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

"The theory of matroids connects disparate branches of combinatorial theory and algebra such as graph and lattice theory, combinatorial optimization, and linear algebra. Aimed at advanced undergraduat

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be consi

A General Overview of Atomic Spectrometric Techniques Implementing a Robust Methodology: Experimental Designs and Optimization Ordinary Multiple Linear Regression and Principal Components Regressi

The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems and develops techniques for solving them. A number of engineering case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form. Five general problem classes are considered: linear systems of equations, non-linear systems of equations, unconstrained optimization, equality-constrained optimization and inequality-constrained optimization. The book contains many worked examples and homework exercises and is suitable for students of engineering or operations research taking courses in optimization. Supplementary material including solutions, lecture slides and appendices are available online at www.cambridge.org/9780521

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be consi