Large Scale Linear And Integer Optimization A Unified Approach
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Large Scale Linear And Integer Optimization A Unified Approach
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Author : Richard Kipp Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Scale Linear And Integer Optimization A Unified Approach written by Richard Kipp Martin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to solve very large linear and integer linear optimization problems. Building these models requires uniquely trained individuals. Not only must they have a thorough understanding of the theory behind mathematical programming, they must have substantial knowledge of how to solve very large models in today's computing environment. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate how to use this theory in a modern computing environment to solve very large real world problems. After presenting introductory material in Part I, Part II of this book is de voted to the theory of linear and integer linear optimization. This theory is developed using two simple, but unifying ideas: projection and inverse projec tion. Through projection we take a system of linear inequalities and replace some of the variables with additional linear inequalities. Inverse projection, the dual of this process, involves replacing linear inequalities with additional variables. Fundamental results such as weak and strong duality, theorems of the alternative, complementary slackness, sensitivity analysis, finite basis the orems, etc. are all explained using projection or inverse projection. Indeed, a unique feature of this book is that these fundamental results are developed and explained before the simplex and interior point algorithms are presented.
Linear And Integer Optimization
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Author : Gerard Sierksma
language : en
Publisher: CRC Press
Release Date : 2015-05-01
Linear And Integer Optimization written by Gerard Sierksma and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-01 with Business & Economics categories.
Presenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig's simplex algorithm, duality, sensitivity analysis, integer optimization models
Column Generation
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Author : Guy Desaulniers
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-20
Column Generation written by Guy Desaulniers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-20 with Business & Economics categories.
Column Generation is an insightful overview of the state of the art in integer programming column generation and its many applications. The volume begins with "A Primer in Column Generation" which outlines the theory and ideas necessary to solve large-scale practical problems, illustrated with a variety of examples. Other chapters follow this introduction on "Shortest Path Problems with Resource Constraints," "Vehicle Routing Problem with Time Window," "Branch-and-Price Heuristics," "Cutting Stock Problems," each dealing with methodological aspects of the field. Three chapters deal with transportation applications: "Large-scale Models in the Airline Industry," "Robust Inventory Ship Routing by Column Generation," and "Ship Scheduling with Recurring Visits and Visit Separation Requirements." Production is the focus of another three chapters: "Combining Column Generation and Lagrangian Relaxation," "Dantzig-Wolfe Decomposition for Job Shop Scheduling," and "Applying Column Generation to Machine Scheduling." The final chapter by François Vanderbeck, "Implementing Mixed Integer Column Generation," reviews how to set-up the Dantzig-Wolfe reformulation, adapt standard MIP techniques to the column generation context (branching, preprocessing, primal heuristics), and deal with specific column generation issues (initialization, stabilization, column management strategies).
Introduction To Linear And Matrix Algebra
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Author : Nathaniel Johnston
language : en
Publisher: Springer Nature
Release Date : 2021-05-19
Introduction To Linear And Matrix Algebra written by Nathaniel Johnston and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-19 with Mathematics categories.
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
Supply Chain Management And Advanced Planning
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Author : Hartmut Stadtler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Supply Chain Management And Advanced Planning written by Hartmut Stadtler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.
Supply Chain Management concerns organizational aspects of integrating legally separated firms as well as coordinating materials and information flows within a production-distribution network. The Enterprise Resources Planning (ERP) systems being used for transaction handling and order execution in most firms today have been supplemented by Advanced Planning Systems (APS) for coordinating flows, exploiting bottlenecks and keeping due dates. Various optimization techniques can be applied by APS to improve plans according to business targets. This book provides insights regarding the concepts underlying APS. Special emphasis is given to modelling supply chains and implementing APS in industry successfully. Understanding is enhanced through the use of case studies as well as an introduction to the solution algorithms used.
Applied Integer Programming
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Author : Der-San Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20
Applied Integer Programming written by Der-San Chen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Mathematics categories.
An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and software In order to fully comprehend the algorithms associated with integer programming, it is important to understand not only how algorithms work, but also why they work. Applied Integer Programming features a unique emphasis on this point, focusing on problem modeling and solution using commercial software. Taking an application-oriented approach, this book addresses the art and science of mathematical modeling related to the mixed integer programming (MIP) framework and discusses the algorithms and associated practices that enable those models to be solved most efficiently. The book begins with coverage of successful applications, systematic modeling procedures, typical model types, transformation of non-MIP models, combinatorial optimization problem models, and automatic preprocessing to obtain a better formulation. Subsequent chapters present algebraic and geometric basic concepts of linear programming theory and network flows needed for understanding integer programming. Finally, the book concludes with classical and modern solution approaches as well as the key components for building an integrated software system capable of solving large-scale integer programming and combinatorial optimization problems. Throughout the book, the authors demonstrate essential concepts through numerous examples and figures. Each new concept or algorithm is accompanied by a numerical example, and, where applicable, graphics are used to draw together diverse problems or approaches into a unified whole. In addition, features of solution approaches found in today's commercial software are identified throughout the book. Thoroughly classroom-tested, Applied Integer Programming is an excellent book for integer programming courses at the upper-undergraduate and graduate levels. It also serves as a well-organized reference for professionals, software developers, and analysts who work in the fields of applied mathematics, computer science, operations research, management science, and engineering and use integer-programming techniques to model and solve real-world optimization problems.
Ai Ia 2015 Advances In Artificial Intelligence
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Author : Marco Gavanelli
language : en
Publisher: Springer
Release Date : 2015-09-09
Ai Ia 2015 Advances In Artificial Intelligence written by Marco Gavanelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-09 with Computers categories.
This book constitutes the refereed proceedings of the 14th International Conference of the Italian Association for Artificial Intelligence, A*IA 2015, held in Ferrara, Italy, in September 2015. The 35 full papers presented were carefully reviewed and selected from 44 submissions. The papers are organized in topical sections on swarm intelligence and genetic algorithms; computer vision; multi-agents systems; knowledge representation and reasoning; machine learning; semantic Web; natural language; and scheduling, planning and robotics.
Industrial Process Plants
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Author : Ravi Nath
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-02-19
Industrial Process Plants written by Ravi Nath and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-19 with Technology & Engineering categories.
Removing the barriers to the Global Optimization of Plant Utility Systems by providing practical tools and techniques to deal with these unique challenges is the purpose of this book. The operating cost of a typical Plant Utility System of a typical Industrial Production Process Plant is enormous - often in tens if not hundreds of millions of dollars per Annum. With so much money at stake, one would expect that heroic optimization efforts would be made to reduce the operating cost, however such is usually not the case. One reason for this complacency is that Plant Utility Systems are usually "cost centers" in Process Plants and their operating cost is prorated amongst the various Production Units, so it suffers from what is at times referred to as "the tragedy of the commons". Another reason for this complacency is that the Plant Utility System structure is significantly different than that of other Production Units, as for flexibility and safety reasons it has a large spare capacity to meet increased utility demand during startups, shutdowns, and emergencies. The existence of a spare equipment necessitates optimization of discrete decisions, whereby traditional optimization techniques do not readily apply. Part of the problem is that the traditional engineering curriculum primarily emphasizes only one of the many optimization methods, called Non-Linear Programming (NLP). Although NLP can address large classes of optimization problems, it has fairly stringent requirements that all describing relationships (or functions) be continuous and have continuous derivatives. Additionally, in general, NLP only guarantees a local but not the global optimum. Another optimization method is particularly well suited for modeling Plant Utility Systems is called Mixed Integer Linear Programming (MILP). And unlike NLP, MILP methods can guarantee global optimum, which is very reassuring. MILP, however, does impose linearity requirements but as discussed in this book there are techniques to overcome this limitation.
Management Science Logistics And Operations Research
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Author : Wang, John
language : en
Publisher: IGI Global
Release Date : 2013-09-30
Management Science Logistics And Operations Research written by Wang, John and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-30 with Business & Economics categories.
"This book examines related research in decision, management, and other behavioral sciences in order to exchange and collaborate on information among business, industry, and government, providing innovative theories and practices in operations research"--Provided by publisher.
Intelligent Applications In A Material World Select Papers From Ipmm 2001
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Author : John A. Meech
language : en
Publisher: CRC Press
Release Date : 2002-11-18
Intelligent Applications In A Material World Select Papers From Ipmm 2001 written by John A. Meech and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-18 with Technology & Engineering categories.
Intelligence in a Materials World contains 87 refereed papers selected from those presented at the Third International Conference on Intelligent Processing and Manufacturing of Materials. The contents span the full scope of the field of materials production and manufacturing from all parts of the world. The focus of this book is on practical applications of intelligent hardware and software. Topics include: New Intelligent Software Methods and Models Production of Raw Materials Biologically-Inspired Systems Simulation and Design of New Materials Atomistic and Electronic Modeling Web-based Design Metrology and Instrumentation Intelligent Manufacturing Systems Agent-based Large-Scale System Simulation Environmental Systems Planning and Scheduling Applications in Space Exploration Financial Transactions Materials Forming Rolling and Sheet Metal Systems Machining and Finishing Processes Language Recognition and Communication Cross-Disciplinary Research This book is an essential reference tool for individuals interested in applying state-of-the-art artificial Intelligence and its related modeling methods within areas that deal with materials production and manufacturing, from raw materials and ore to final consumer products. IPMM is an organization of over 400 individuals from over 45 countries who come together every two years to share in new ideas and applications that use intelligence (artificial or otherwise) to achieve new designs, novel planning methods, improved system optimization techniques, advanced process control or monitoring methods in different fields dealing with material science and engineering.