Scheduling Using Relaxation And Decomposition

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Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming

Author : Ivo Nowak
Publisher : Springer Science & Business Media
ISBN 13 : 9783764372385
Total Pages : 242 pages
Book Rating : 4.3/5 (723 download)

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Book Synopsis Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming by : Ivo Nowak

Download or read book Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming written by Ivo Nowak and published by Springer Science & Business Media. This book was released on 2005-08-15 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearoptimizationproblemscontainingbothcontinuousanddiscretevariables are called mixed integer nonlinear programs (MINLP). Such problems arise in many ?elds, such as process industry, engineering design, communications, and ?nance. There is currently a huge gap between MINLP and mixed integer linear programming(MIP) solvertechnology.With a modernstate-of-the-artMIP solver itispossibletosolvemodelswithmillionsofvariablesandconstraints,whereasthe dimensionofsolvableMINLPsisoftenlimitedbyanumberthatissmallerbythree or four orders of magnitude. It is theoretically possible to approximate a general MINLP by a MIP with arbitrary precision. However, good MIP approximations are usually much larger than the original problem. Moreover, the approximation of nonlinear functions by piecewise linear functions can be di?cult and ti- consuming. In this book relaxation and decomposition methods for solving nonconvex structured MINLPs are proposed. In particular, a generic branch-cut-and-price (BCP) framework for MINLP is presented. BCP is the underlying concept in almost all modern MIP solvers. Providing a powerful decomposition framework for both sequential and parallel solvers, it made the success of the current MIP technology possible. So far generic BCP frameworks have been developed only for MIP, for example,COIN/BCP (IBM, 2003) andABACUS (OREAS GmbH, 1999). In order to generalize MIP-BCP to MINLP-BCP, the following points have to be taken into account: • A given (sparse) MINLP is reformulated as a block-separable program with linear coupling constraints.The block structure makes it possible to generate Lagrangian cuts and to apply Lagrangian heuristics. • In order to facilitate the generation of polyhedral relaxations, nonlinear c- vex relaxations are constructed. • The MINLP separation and pricing subproblems for generating cuts and columns are solved with specialized MINLP solvers.

Column Generation

Author : Guy Desaulniers
Publisher : Springer Science & Business Media
ISBN 13 : 0387254862
Total Pages : 369 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Column Generation by : Guy Desaulniers

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).

Metaheuristics for Scheduling in Industrial and Manufacturing Applications

Author : Fatos Xhafa
Publisher : Springer
ISBN 13 : 3540789855
Total Pages : 362 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Metaheuristics for Scheduling in Industrial and Manufacturing Applications by : Fatos Xhafa

Download or read book Metaheuristics for Scheduling in Industrial and Manufacturing Applications written by Fatos Xhafa and published by Springer. This book was released on 2008-08-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decades scheduling has been among the most studied op- mization problemsanditisstillanactiveareaofresearch!Schedulingappears in many areas of science, engineering and industry and takes di?erent forms depending on the restrictions and optimization criteria of the operating en- ronments [8]. For instance, in optimization and computer science, scheduling has been de?ned as “the allocation of tasks to resources over time in order to achieve optimality in one or more objective criteria in an e?cient way” and in production as “production schedule, i. e. , the planning of the production or the sequence of operations according to which jobs pass through machines and is optimal with respect to certain optimization criteria. ” Although there is a standardized form of stating any scheduling problem, namely “e?cient allocation ofn jobs onm machines –which can process no more than one activity at a time– with the objective to optimize some - jective function of the job completion times”, scheduling is in fact a family of problems. Indeed, several parameters intervene in the problem de?nition: (a) job characteristics (preemptive or not, precedence constraints, release dates, etc. ); (b) resource environment (single vs. parallel machines, un- lated machines, identical or uniform machines, etc. ); (c) optimization criteria (minimize total tardiness, the number of late jobs, makespan, ?owtime, etc. ; maximize resource utilization, etc. ); and, (d) scheduling environment (static vs. dynamic,intheformerthenumberofjobstobeconsideredandtheirready times are available while in the later the number of jobs and their charact- istics change over time).

The Planning and Scheduling of Production Systems

Author : Abdelhakim Artiba
Publisher : Springer Science & Business Media
ISBN 13 : 1461311950
Total Pages : 377 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis The Planning and Scheduling of Production Systems by : Abdelhakim Artiba

Download or read book The Planning and Scheduling of Production Systems written by Abdelhakim Artiba and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: If one accepts the premise that there is no wealth without production, whether at the individual or national level, one is immediately led to the conclusion that the study of productive systems lies at the forefront of subjects that should be intensively, as well as rationally and extensively, studied to achieve the desired 'sustainable growth' of society, where the latter is defined as growth in the quality of life that does not waste the available resources in the long run. Since the end of World War II there has been a remarkable evolution in thinking about production, abetted to a large measure by the nascent field of informatics: the computer technology and the edifices that have been built around it, such as information gathering and dissemination worldwide through communication networks, software products, peripheral interfaces, etc. Additionally, the very thought processes that guide and motivate studies in production have undergone fundamental changes which verge on being revolutionary, thanks to developments in operations research and cybernetics.

Metaheuristics

Author : Luca Di Gaspero
Publisher : Springer Nature
ISBN 13 : 3031265041
Total Pages : 586 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Metaheuristics by : Luca Di Gaspero

Download or read book Metaheuristics written by Luca Di Gaspero and published by Springer Nature. This book was released on 2023-02-22 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Metaheuristics, MIC 2022, held in Syracuse, Italy, in July 2022. The 48 full papers together with 17 short papers presented were carefully reviewed and selected from 72 submissions. The papers detail metaheuristic techniques. Chapter “Evaluating the Effects of Chaos in Variable Neighbourhood Search” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering

Author :
Publisher : Elsevier
ISBN 13 : 0444634452
Total Pages : 2667 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis 12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering by :

Download or read book 12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering written by and published by Elsevier. This book was released on 2015-07-14 with total page 2667 pages. Available in PDF, EPUB and Kindle. Book excerpt: 25th European Symposium on Computer-Aided Process Engineering contains the papers presented at the 12th Process Systems Engineering (PSE) and 25th European Society of Computer Aided Process Engineering (ESCAPE) Joint Event held in Copenhagen, Denmark, 31 May - 4 June 2015. The purpose of these series is to bring together the international community of researchers and engineers who are interested in computing-based methods in process engineering. This conference highlights the contributions of the PSE/CAPE community towards the sustainability of modern society. Contributors from academia and industry establish the core products of PSE/CAPE, define the new and changing scope of our results, and future challenges. Plenary and keynote lectures discuss real-world challenges (globalization, energy, environment, and health) and contribute to discussions on the widening scope of PSE/CAPE versus the consolidation of the core topics of PSE/CAPE. - Highlights how the Process Systems Engineering/Computer-Aided Process Engineering community contributes to the sustainability of modern society - Presents findings and discussions from both the 12th Process Systems Engineering (PSE) and 25th European Society of Computer-Aided Process Engineering (ESCAPE) Events - Establishes the core products of Process Systems Engineering/Computer Aided Process Engineering - Defines the future challenges of the Process Systems Engineering/Computer Aided Process Engineering community

Operations Research

Author : Jay E. Aronson
Publisher : IAP
ISBN 13 : 1607529254
Total Pages : 393 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Operations Research by : Jay E. Aronson

Download or read book Operations Research written by Jay E. Aronson and published by IAP. This book was released on 2009-04-01 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawn from a conference honoring Gerald L. Thompson, the pioneer of operations research, this volume brings together some of the latest writings of major figures in the field. The volume is divided into four parts: the first part reviews the career and significance of Thompson, the second concentrates on linear and nonlinear optimization, the third looks at network and integer programming, and the fourth provides examples of applications-oriented research in manufacturing. This volume will be an invaluable resource for all scholars and researchers involved in theory and methodology in operations research and management science.

Mathematical Optimization Theory and Operations Research

Author : Michael Khachay
Publisher : Springer
ISBN 13 : 3030226298
Total Pages : 742 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Optimization Theory and Operations Research by : Michael Khachay

Download or read book Mathematical Optimization Theory and Operations Research written by Michael Khachay and published by Springer. This book was released on 2019-06-12 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 170 submissions. MOTOR 2019 is a successor of the well-known International and All-Russian conference series, which were organized in Ural, Siberia, and the Far East for a long time. The selected papers are organized in the following topical sections: mathematical programming; bi-level optimization; integer programming; combinatorial optimization; optimal control and approximation; data mining and computational geometry; games and mathematical economics.

Integer Programming and Combinatorial Optimization

Author : Daniel Bienstock
Publisher : Springer Science & Business Media
ISBN 13 : 3540221131
Total Pages : 453 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Daniel Bienstock

Download or read book Integer Programming and Combinatorial Optimization written by Daniel Bienstock and published by Springer Science & Business Media. This book was released on 2004-05-24 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2004, held in New York City, USA in June 2004. The 32 revised papers presented were carefully reviewed and selected from 109 submissions. Among the topics addressed are vehicle routing, network management, mixed-integer programming, computational complexity, game theory, supply chain management, stochastic optimization problems, production scheduling, graph computations, computational graph theory, separation algorithms, local search, linear optimization, integer programming, graph coloring, packing, combinatorial optimization, routing, flow algorithms, 0/1 polytopes, and polyhedra.

Electric Power System Applications of Optimization

Author : James A. Momoh
Publisher : CRC Press
ISBN 13 : 1420065874
Total Pages : 602 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Electric Power System Applications of Optimization by : James A. Momoh

Download or read book Electric Power System Applications of Optimization written by James A. Momoh and published by CRC Press. This book was released on 2017-12-19 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the demand for energy continues to grow, optimization has risen to the forefront of power engineering research and development. Continuing in the bestselling tradition of the first edition, Electric Power System Applications of Optimization, Second Edition presents the theoretical background of optimization from a practical power system point of view, exploring advanced techniques, new directions, and continuous application problems. The book provides both the analytical formulation of optimization and various algorithmic issues that arise in the application of various methods in power system planning and operation. The second edition adds new functions involving market programs, pricing, reliability, and advances in intelligent systems with implemented algorithms and illustrative examples. It describes recent developments in the field of Adaptive Critics Design and practical applications of approximate dynamic programming. To round out the coverage, the final chapter combines fundamental theories and theorems from functional optimization, optimal control, and dynamic programming to explain new Adaptive Dynamic Programming concepts and variants. With its one-of-a-kind integration of cornerstone optimization principles with application examples, this second edition propels power engineers to new discoveries in providing optimal supplies of energy.

Computational Modeling and Problem Solving in the Networked World

Author : Hemant K. Bhargava
Publisher : Springer Science & Business Media
ISBN 13 : 1461510430
Total Pages : 322 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Computational Modeling and Problem Solving in the Networked World by : Hemant K. Bhargava

Download or read book Computational Modeling and Problem Solving in the Networked World written by Hemant K. Bhargava and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of a selected subset of research articles presented at the Eighth INFORMS Computing Society Conference, held in Chandler, Arizona, from January 8 to 10, 2003. The articles in this book represent the diversity and depth of the interface between ORiMS (operations research and the management sciences) and CS/AI (computer science and artificial intelligence ). This volume starts with two papers that represent the reflective and integrative thinking that is critical to any scientific discipline. These two articles present philosophical perspectives on computation, covering a variety of traditional and newer methods for modeling, solving, and explaining mathematical models. The next set includes articles that study machine learning and computational heuristics, and is followed by articles that address issues in performance testing of solution algorithms and heuristics. These two sets of papers demonstrate the richness of thought that takes place at the ORiMS and CSI AI interface. The final set of articles demonstrates the usefulness of these and other methods at the interface towards solving problems in the real world, covering e-commerce, workflow, electronic negotiation, music, parallel computation, and telecommunications. The articles in this collection represent the results of cross-fertilization between ORiMS and CSI AI, making possible advances that could have not been achieved in isolation. The continuing aim ofthe INFORMS Computing Society and this research conference is to invigorate and further develop this interface.

Chemical Production Scheduling

Author : Christos T. Maravelias
Publisher : Cambridge University Press
ISBN 13 : 1107154758
Total Pages : 459 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Chemical Production Scheduling by : Christos T. Maravelias

Download or read book Chemical Production Scheduling written by Christos T. Maravelias and published by Cambridge University Press. This book was released on 2021-05-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand common scheduling as well as other advanced operational problems with this valuable reference from a recognized leader in the field. Beginning with basic principles and an overview of linear and mixed-integer programming, this unified treatment introduces the fundamental ideas underpinning most modeling approaches, and will allow you to easily develop your own models. With more than 150 figures, the basic concepts and ideas behind the development of different approaches are clearly illustrated. Addresses a wide range of problems arising in diverse industrial sectors, from oil and gas to fine chemicals, and from commodity chemicals to food manufacturing. A perfect resource for engineering and computer science students, researchers working in the area, and industrial practitioners.

Optimization and Logistics Challenges in the Enterprise

Author : Wanpracha Chaovalitwongse
Publisher : Springer Science & Business Media
ISBN 13 : 0387886176
Total Pages : 434 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Optimization and Logistics Challenges in the Enterprise by : Wanpracha Chaovalitwongse

Download or read book Optimization and Logistics Challenges in the Enterprise written by Wanpracha Chaovalitwongse and published by Springer Science & Business Media. This book was released on 2009-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world with highly competitive markets and economic instability due to capitalization, industrial competition has increasingly intensified. In order for many industries to survive and succeed, they need to develop highly effective coordination between supply chain partners, dynamic collaborative and strategic alliance relationships, and efficient logistics and supply chain network designs. Consequently, in the past decade, there has been an explosion of interest among academic researchers and industrial practitioners in innovative supply chain and logistics models, algorithms, and coordination policies. Mathematically distinct from classical supply chain management, this emerging research area has been proven to be useful and applicable to a wide variety of industries. This book brings together recent advances in supply chain and logistics research and computational optimization that apply to a collaborative environment in the enterprise.

Optimization Theory for Large Systems

Author : Leon S. Lasdon
Publisher : Courier Corporation
ISBN 13 : 0486143694
Total Pages : 566 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Optimization Theory for Large Systems by : Leon S. Lasdon

Download or read book Optimization Theory for Large Systems written by Leon S. Lasdon and published by Courier Corporation. This book was released on 2013-01-17 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important text examines most significant algorithms for optimizing large systems and clarifying relations between optimization procedures. Much data appear as charts and graphs and will be highly valuable to readers in selecting a method and estimating computer time and cost in problem-solving. Initial chapter on linear and nonlinear programming presents all necessary background for subjects covered in rest of book. Second chapter illustrates how large-scale mathematical programs arise from real-world problems. Appendixes. List of Symbols.

Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming

Author : Mohit Tawarmalani
Publisher : Springer Science & Business Media
ISBN 13 : 1475735324
Total Pages : 492 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming by : Mohit Tawarmalani

Download or read book Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming written by Mohit Tawarmalani and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in constrained optimization originated with the simple linear pro gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.

Information Control Problems in Manufacturing Technology 1992

Author : M.B. Zaremba
Publisher : Elsevier
ISBN 13 : 1483298841
Total Pages : 517 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Information Control Problems in Manufacturing Technology 1992 by : M.B. Zaremba

Download or read book Information Control Problems in Manufacturing Technology 1992 written by M.B. Zaremba and published by Elsevier. This book was released on 2016-02-25 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain more than 80 of the best papers presented at the INCOM '92 Symposium, and relate to the vast changes which are occurring worldwide in manufacturing technology. Research oriented technical papers cover subjects such as: simulation of manufacturing processes; sensor based robots; information systems; general aspects of CIM and manufacturing networks.

Handbook on Project Management and Scheduling Vol.1

Author : Christoph Schwindt
Publisher : Springer
ISBN 13 : 3319054430
Total Pages : 691 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Handbook on Project Management and Scheduling Vol.1 by : Christoph Schwindt

Download or read book Handbook on Project Management and Scheduling Vol.1 written by Christoph Schwindt and published by Springer. This book was released on 2015-01-13 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the increasing importance of product differentiation and collapsing product life cycles, a growing number of value-adding activities in the industry and service sector are organized in projects. Projects come in many forms, often taking considerable time and consuming a large amount of resources. The management and scheduling of projects represents a challenging task, and project performance may have a considerable impact on an organization's competitiveness. This handbook presents state-of-the-art approaches to project management and scheduling. More than sixty contributions written by leading experts in the field provide an authoritative survey of recent developments. The book serves as a comprehensive reference, both, for researchers and project management professionals. The handbook consists of two volumes. Volume 1 is devoted to single-modal and multi-modal project scheduling. Volume 2 presents multi-project problems, project scheduling under uncertainty and vagueness, managerial approaches and a separate part on applications, case studies and information systems.