Column Generation In Integer Programming With Applications In Multicriteria Optimization


Column Generation In Integer Programming With Applications In Multicriteria Optimization
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Column Generation


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).



Column Generation


Column Generation
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Author : Guy Desaulniers
language : en
Publisher: Springer
Release Date : 2008-11-01

Column Generation written by Guy Desaulniers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 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).



Encyclopedia Of Optimization


Encyclopedia Of Optimization
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Author : Christodoulos A. Floudas
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04

Encyclopedia Of Optimization written by Christodoulos A. Floudas 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 2008-09-04 with Mathematics categories.


The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".



Linear Integer Programming


Linear Integer Programming
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Author : Elias Munapo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-12-06

Linear Integer Programming written by Elias Munapo 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 2021-12-06 with Computers categories.


This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.



Linear And Integer Optimization


Linear And Integer Optimization
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Author : Gerard Sierksma
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2015-05-01

Linear And Integer Optimization written by Gerard Sierksma and has been published by Chapman and Hall/CRC 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, and network models are introduced. More advanced topics also are presented including interior point algorithms, the branch-and-bound algorithm, cutting planes, complexity, standard combinatorial optimization models, the assignment problem, minimum cost flow, and the maximum flow/minimum cut theorem. The second part applies theory through real-world case studies. The authors discuss advanced techniques such as column generation, multiobjective optimization, dynamic optimization, machine learning (support vector machines), combinatorial optimization, approximation algorithms, and game theory. Besides the fresh new layout and completely redesigned figures, this new edition incorporates modern examples and applications of linear optimization. The book now includes computer code in the form of models in the GNU Mathematical Programming Language (GMPL). The models and corresponding data files are available for download and can be readily solved using the provided online solver. This new edition also contains appendices covering mathematical proofs, linear algebra, graph theory, convexity, and nonlinear optimization. All chapters contain extensive examples and exercises. This textbook is ideal for courses for advanced undergraduate and graduate students in various fields including mathematics, computer science, industrial engineering, operations research, and management science.



Integer Programming


Integer Programming
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Author : John K. Karlof
language : en
Publisher: CRC Press
Release Date : 2005-09-22

Integer Programming written by John K. Karlof and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-22 with Technology & Engineering categories.


Integer Programming: Theory and Practice contains refereed articles that explore both theoretical aspects of integer programming as well as major applications. This volume begins with a description of new constructive and iterative search methods for solving the Boolean optimization problem (BOOP). Following a review of recent developments on convergent Lagrangian techniques that use objective level-cut and domain-cut methods to solve separable nonlinear integer-programming problems, the book discusses the generalized assignment problem (GAP). The final theoretical chapter analyzes the use of decomposition methods to obtain bounds on the optimal value of solutions to integer linear-programming problems. The first application article contains models and solution algorithms for the rescheduling of airlines following the temporary closure of airports. The next chapters deal with the determination of an optimal mix of chartered and self-owned vessels needed to transport a product. The book then presents an application of integer programming that involves the capture, storage, and transmission of large quantities of data collected during testing scenarios involving military applications related to vehicles, medicine, equipment, missiles, and aircraft. The next article develops an integer linear-programming model to determine the assortment of products that must be carried by stores within a retail chain to maximize profit, and the final article contains an overview of noncommercial software tools for the solution of mixed-integer linear programs (MILP). The authors purposefully include applications and theory that are usually not found in contributed books in order to appeal to a wide variety of researchers and practitioners.



Multiple Criteria And Multiple Constraint Levels Linear Programming


Multiple Criteria And Multiple Constraint Levels Linear Programming
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Author : Yong Shi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-06-28

Multiple Criteria And Multiple Constraint Levels Linear Programming written by Yong Shi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-28 with Computers categories.


This book introduces multiple criteria and multiple constraint levels linear programming (MC2LP), which is an extension of linear programming (LP) and multiple criteria linear programming (MCLP). In the last decade, the author and a group of researchers from the USA, China, Korea, Germany, and Hungary have been working on the theory and applications of MC2LP problems. This volume integrates their main research results ranging from theoretical bases to broad areas of real world applications. The theoretical bases include the formulation of MC2LP; integer MC2LP and MC2 transportation model; fuzzy MC2LP and fuzzy duality of MC2LP; optimal system designs and contingency plans; MC2 decision support system; and MC2 computer software development. The application areas are accounting, management information systems, production planning, and telecommunications management. The book serves as a seminar text for both undergraduates and graduates who have a linear algebra or equivalent background. For practitioners, it will help in handling LP type problems in multiple decision making environment.



Operations Research And Analytics In Latin America


Operations Research And Analytics In Latin America
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Author : Jairo R. Montoya-Torres
language : en
Publisher: Springer Nature
Release Date : 2023-10-04

Operations Research And Analytics In Latin America written by Jairo R. Montoya-Torres and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Business & Economics categories.


This book gathers a selection of peer-reviewed research papers presented at the joint IV ASOCIO/XIX IISE Region 16 Conference held in Chia and Bogota, Colombia. The conference was organized by the Universidad de La Sabana’s Research Group on Logistics Systems, in partnership with Chapters #782 (Universidad de La Sabana), #712 (Universidad Sergio Arboleda) and #988 (Universidad de Los Andes) of the Institute of Industrial and Systems Engineers (IISE). The main emphasis of the book is on modelling and solving business-related problems in operations research, and on applying descriptive, predictive and prescriptive analytics and the management sciences to actual decision-making in organizations. Both theoretical developments and algorithm implementation are presented. A special focus is given to business problems arising in emerging economies, particularly in Latin America and the Caribbean. This book is addressed to academics, practitioners, postgraduate students and researchers in operations research, analytics and industrial engineering, as well as to undergraduate students for educational purposes. In particular, the book will appeal to the academic and research community in Latin America and the Caribbean, as it presents projects developed and implemented there. Higher education engineering programs will benefit from the findings and insights shared in the fields of industrial engineering, operations research and analytics, applied mathematics, and computer science and engineering.



Integer Programming And Combinatorial Optimization


Integer Programming And Combinatorial Optimization
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Author : Jon Lee
language : en
Publisher: Springer
Release Date : 2014-05-17

Integer Programming And Combinatorial Optimization written by Jon Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-17 with Computers categories.


This book constitutes the refereed proceedings of the 17th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2014, held in Bonn, Germany, in June 2014. The 34 full papers presented were carefully reviewed and selected from 143 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.



Handbook Of Healthcare Delivery Systems


Handbook Of Healthcare Delivery Systems
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Author : Yuehwern Yih
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Handbook Of Healthcare Delivery Systems written by Yuehwern Yih and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Medical categories.


With rapidly rising healthcare costs directly impacting the economy and quality of life, resolving improvement challenges in areas such as safety, effectiveness, patient-centeredness, timeliness, efficiency, and equity has become paramount. Using a system engineering perspective, Handbook of Healthcare Delivery Systems offers theoretical foundations, methodologies, and case studies in each main sector of the system. It explores how system engineering methodologies and their applications in designing, evaluating, and optimizing the operations of the healthcare system could improve patient outcomes and cost effectiveness. The book presents an overview of current challenges in the healthcare system and the potential impact of system engineering. It describes an integrated framework for the delivery system and the tools and methodologies used for performance assessment and process improvement with examples of lean concept, evidence-based practice and risk assessment. The book then reviews system engineering methodologies and technologies and their applications in healthcare. Moving on to coverage of the design, planning, control and management of healthcare systems, the book contains chapters on 12 services sectors: preventive care, telemedicine, transplant, pharmacy, ED/ICU, OR, decontamination, laboratory, emergency response, mental health, food and supplies, and information technology. It presents the state-of-the-art operations and examines the challenges in each service unit. While system engineering concepts have been broadly applied in healthcare systems, most improvements have focused on a specific segment or unit of the delivery system. Each unit has strong interactions with others and any significant improvement is more likely to be sustained over time by integrating the process and re-evaluating the system design from a holistic viewpoint. By providing an overview of individual operational sectors in the extremely complex healthcare system and introducing a wide array of engineering methods and tools, this handbook establishes the foundation to facilitate integrated system thinking to redesign the next generation healthcare system.