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An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers. Contains a new chapter on Benders' algorithm, as there have been many successful applications of Benders' algorithm since the first edition published. Provides improved presentation of Branch-and-Price Algorithms. Contains an introduction to Branch-Cut and Price. Includes new heuristics within mixed integer programming (MIP) codes and user implemented heuristics using a Modelling Language and a MIP solver . Supplementary material consists of solutions to some exercises, available to instructors on a Wiley Instructor Companion Site.

Integer programming --- Integer programming. --- Programmation en nombres entiers.

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Zonder onderwerpscode: economie

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Zonder onderwerpscode: economie

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This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and related supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems. This book addresses the solution of real life or industrial production planning problems (involving complex production structures with multiple production stages) using a MIP modeling and reformulation approach. It is based on close to twenty years of research in which the authors have played a significant role. One of the goals of this book is to allow non-expert readers, students in business, engineering, applied mathematics and computer science to solve such problems using standard modeling tools and MIP software. To achieve this the book provides a unique collection of reformulation results, integrating them into a comprehensive modeling and reformulation approach, as well as an easy to use problem-solving library. Moreover this approach is demonstrated through a series of real life case studies, exercises and detailed illustrations. Graduate students and researchers in operations research, management, science and applied mathematics wishing to gain a deeper understanding of the formulations and mathematics underlying this approach will find this book useful because of its detailed treatment of the polyhedral structure of the basic lot-sizing problems and simple mixed integer sets that arise in the decomposition of more complicated problems. This book will allow the reader to improve formulations of non-standard MIP models and produce state-of-the-art models and algorithms.

Operational research. Game theory --- Production planning --- Physical distribution of goods --- Mathematical models --- Operations research --- Financial engineering --- Integer programming --- Physical distribution of goods -- Mathematical models -- Textbooks. --- Production planning -- Mathematical models -- Textbooks. --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mechanical Engineering --- Industrial & Management Engineering --- 519.8 --- Operational research --- 519.8 Operational research --- Production --- Distribution (Économie politique) --- Textbooks --- Planification --- Modèles mathématiques --- Manuels --- Distribution (Économie politique) --- Modèles mathématiques --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Distribution of goods, Physical --- Manufacturing planning --- Process planning --- Business. --- Production management. --- Operations research. --- Decision making. --- Software engineering. --- Mathematical models. --- Management science. --- Industrial engineering. --- Production engineering. --- Business and Management. --- Operations Management. --- Mathematical Modeling and Industrial Mathematics. --- Software Engineering/Programming and Operating Systems. --- Operations Research, Management Science. --- Industrial and Production Engineering. --- Operation Research/Decision Theory. --- Planning --- Production engineering --- Business logistics --- Marketing --- Marketing channels --- Operations Research/Decision Theory. --- Operational analysis --- Industrial engineering --- Management science --- Research --- System theory --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Computer software engineering --- Manufacturing management --- Industrial management --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Manufacturing engineering --- Process engineering --- Mechanical engineering --- Quantitative business analysis --- Statistical decision --- Models, Mathematical --- Simulation methods --- Decision making --- PRODUCTION --- DISTRIBUTION DE MARCHANDISES --- PLANIFICATION