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＜電子ブック＞
Production Planning by Mixed Integer Programming / by Yves Pochet, Laurence A. Wolsey
(Springer Series in Operations Research and Financial Engineering. ISSN:21971773)

版	1st ed. 2006.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XXIV, 500 p : online resource
著者標目	*Pochet, Yves author Wolsey, Laurence A author SpringerLink (Online service)
件　名	LCSH:Production management LCSH:Mathematical models LCSH:Software engineering LCSH:Operations research LCSH:Management science LCSH:Industrial engineering LCSH:Production engineering FREE:Operations Management FREE:Mathematical Modeling and Industrial Mathematics FREE:Software Engineering FREE:Operations Research, Management Science FREE:Industrial and Production Engineering FREE:Operations Research and Decision Theory
一般注記	Production Planning and MIP -- The Modeling and Optimization Approach -- Production Planning Models and Systems -- Mixed Integer Programming Algorithms -- Classification and Reformulation -- Reformulations in Practice -- Basic Polyhedral Combinatorics for Production Planning and MIP -- Mixed Integer Programming Algorithms and Decomposition Approaches -- Single-Item Uncapacitated Lot-Sizing -- Basic MIP and Fixed Cost Flow Models -- Single-Item Lot-Sizing -- Lot-Sizing with Capacities -- Backlogging and Start-Ups -- Single-Item Variants -- Multi-Item Lot-Sizing -- Multi-Item Single-Level Problems -- Multi-Level Lot-Sizing Problems -- Problem Solving -- Test Problems 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 HTTP:URL=https://doi.org/10.1007/0-387-33477-7

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