Cutting And Packing Problems

Author : Mutsunori Yagiura
Publisher : Springer
ISBN 13 : 9784431552901
Total Pages : 300 pages
Book Rating : 4.01/5 ( download)

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Download or read book Cutting and Packing Problems written by Mutsunori Yagiura and published by Springer. This book was released on 2017-02-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book presents practical algorithms for solving a wide variety of cutting and packing problems from the perspective of combinatorial optimization. Problems of cutting and packing objects in one-, two-, or three-dimensional space have been extensively studied for many years because of numerous real applications—for instance, in the clothing, logistics, manufacturing, and material industries. Cutting and packing problems can be classified in three ways according to their dimensions: The one-dimensional problem is the most basic category of problems including knapsack problems, bin packing problems, and cutting stock problems, among others. The two-dimensional problem is a category of geometric problems including rectangle packing problems, circle packing problems, and polygon packing problems, among others. The three-dimensional problem is the most difficult category of problems and has applications in container loading, cargo and warehouse management and so forth. Most of these variants are NP-hard, since they contain as a special case the knapsack problem or the bin packing problem, which are already known to be NP-hard. Therefore, heuristics and metaheuristics are very important to design practical algorithms for these problems. We survey practical algorithms for solving a wide variety of cutting and packing problems in this book. Another feature of cutting and packing problems is the requirement to develop powerful geometric tools to handle the wide variety and complexity of shapes that need to be packed. We also survey geometric properties and tools for cutting and packing problems in the book.

Author : Guntram Scheithauer
Publisher : Springer
ISBN 13 : 3319644033
Total Pages : 410 pages
Book Rating : 4.35/5 ( download)

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Download or read book Introduction to Cutting and Packing Optimization written by Guntram Scheithauer and published by Springer. This book was released on 2017-10-20 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the most important and frequently considered optimization problems concerning cutting and packing. Based on appropriate modeling approaches for the problems considered, it offers an introduction to the related solution methods. It also addresses aspects like performance results for heuristic algorithms and bounds of the optimal value, as well as the packability of a given set of objects within a predefined container. The problems discussed arise in a wide variety of different fields of application and research, and as such, the fundamental knowledge presented in this book make it a valuable resource for students, practitioners, and researchers who are interested in dealing with such tasks.

Author : Harald Dyckhoff
Publisher : Springer Science & Business Media
ISBN 13 : 364258165X
Total Pages : 256 pages
Book Rating : 4.56/5 ( download)

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Download or read book Cutting and Packing in Production and Distribution written by Harald Dyckhoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting and packing problems such as the cutting of sheet metal and the loading of contain ers or, in a more abstract sense, capital budgeting or assembly line balancing have been treated in scientific literature of various disciplines for about fifty years. Since the pioneer work of Kantorovich in 1939, which frrst appeared in the West in 1960, there has been a steadily growing number of contributions of increasing importance in this research area, particularly in the past decade. As of today more than 700 contributions exist even when applying a strict categorisation. Since comprehensive monographies and compiled studies are still lacking, it is very time consuming and thus expensive to search for a suitable solution procedure for concrete problems in the available literature. Thus, an apparently simpler way is often chosen, which is to develop ones own approach. For this reason there is not only the danger of unnecessary effort and scientific repetition, but it is reality. With the goal of improved research coordination an interdisciplinary Special Interest Group on Cutting and Packing (SICUP) was founded in 1988, which meets every two years (1988 Paris, 1990 Athens, 1992 San Francisco) and issues a semi-annual newsletter (SICUP Bulletin) with up-to-date information. This book is intended to assist in the coordination of research work in this area.

Author : Tolga Bektaş
Publisher : Springer
ISBN 13 : 3319684965
Total Pages : 588 pages
Book Rating : 4.63/5 ( download)

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Download or read book Computational Logistics written by Tolga Bektaş and published by Springer. This book was released on 2017-10-11 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th InternationalConference on Computational Logistics, ICCL 2017, held in Southampton,UK, in October 2017.The 38 papers presented in this volume were carefully reviewed and selected for inclusion in the book. They are organized in topical sections entitled: vehicle routing and scheduling; maritime logistics;synchromodal transportation; and transportation, logistics and supply chain planning.

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309047765
Total Pages : 189 pages
Book Rating : 4.60/5 ( download)

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Download or read book Probability and Algorithms written by National Research Council and published by National Academies Press. This book was released on 1992-02-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 1461302331
Total Pages : 346 pages
Book Rating : 4.39/5 ( download)

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Download or read book Optimization and Industry: New Frontiers written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization from Human Genes to Cutting Edge Technologies The challenges faced by industry today are so complex that they can only be solved through the help and participation of optimization ex perts. For example, many industries in e-commerce, finance, medicine, and engineering, face several computational challenges due to the mas sive data sets that arise in their applications. Some of the challenges include, extended memory algorithms and data structures, new program ming environments, software systems, cryptographic protocols, storage devices, data compression, mathematical and statistical methods for knowledge mining, and information visualization. With advances in computer and information systems technologies, and many interdisci plinary efforts, many of the "data avalanche challenges" are beginning to be addressed. Optimization is the most crucial component in these efforts. Nowadays, the main task of optimization is to investigate the cutting edge frontiers of these technologies and systems and find the best solutions for their realization. Optimization principles are evident in nature (the perfect optimizer) and appeared early in human history. Did you ever watch how a spider catches a fly or a mosquito? Usually a spider hides at the edge of its net. When a fly or a mosquito hits the net the spider will pick up each line in the net to choose the tense line? Some biologists explain that the line gives the shortest path from the spider to its prey.

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.02/5 ( download)

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Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Author : Josef Kallrath
Publisher : Springer Nature
ISBN 13 : 3030732371
Total Pages : 653 pages
Book Rating : 4.70/5 ( download)

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Download or read book Business Optimization Using Mathematical Programming written by Josef Kallrath and published by Springer Nature. This book was released on 2021-08-31 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.

Author : Guy Desaulniers
Publisher : Springer Science & Business Media
ISBN 13 : 0387254862
Total Pages : 369 pages
Book Rating : 4.69/5 ( download)

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Download or read book Column Generation written by Guy Desaulniers and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Author : Silvano Martello
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.55/5 ( download)

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Download or read book Knapsack Problems written by Silvano Martello and published by . This book was released on 1990-12-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a state of art examination on exact and approximate algorithms for a number of important NP-hard problems in the field of integer linear programming, which the authors refer to as ``knapsack.'' Includes not only the classical knapsack problems such as binary, bounded, unbounded or binary multiple, but also less familiar problems such as subset-sum and change-making. Well known problems that are not usually classified in the knapsack area, including generalized assignment and bin packing, are also covered. The text fully develops an algorithmic approach without losing mathematical rigor.