Machine Scheduling Problems
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Machine Scheduling Problems
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Author : A.H.G. Rinnooy Kan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Machine Scheduling Problems written by A.H.G. Rinnooy Kan 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 2012-12-06 with Business & Economics categories.
1. Introduction.- 2. Problem Formulation.- 2.1. Notations and representations.- 2.2. Restrictive assumptions.- 2.3. Optimality criteria.- 2.3.1. Regular measures.- 2.3.1.1. Criteria based on completion times.- 2.3.1.2. Criteria based on due dates.- 2.3.1.3. Criteria based on inventory cost and utilization.- 2.3.2. Relations between criteria.- 2.3.3. Analysis of scheduling costs.- 2.4. Classification of problems.- 3. Methods of Solution.- 3.1. Complete enumeration.- 3.2. Combinatorial analysis.- 3.3. Mixed integer and non-linear programming.- 3.3.1. [Bowman 1959].- 3.3.2. [Pritsker et al. 1969].
Machine Scheduling Problems
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Author : A. H. G. Rinnooy Kan
language : en
Publisher:
Release Date : 1976
Machine Scheduling Problems written by A. H. G. Rinnooy Kan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Production scheduling categories.
Identical Parallel Machine Scheduling Problems
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Author : Alexander Lawrinenko
language : en
Publisher:
Release Date : 2017
Identical Parallel Machine Scheduling Problems written by Alexander Lawrinenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Algorithmus categories.
The work is about fundamental parallel machine scheduling problems which occur in manufacturing systems where a set of jobs with individual processing times has to be assigned to a set of machines with respect to several workload objective functions like makespan minimization, machine covering or workload balancing. In the first chapter of the work an up-to-date survey on the most relevant literature for these problems is given, since the last review dealing with these problems has been published almost 20 years ago. We also give an insight into the relevant literature contributed by the Artificial Intelligence community, where the problem is known as number partitioning. The core of the work is a universally valid characterization of optimal makespan and machine-covering solutions where schedules are evaluated independently from the processing times of the jobs. Based on these novel structural insights we derive several strong dominance criteria. Implemented in a branch-and-bound algorithm these criteria have proved to be effective in limiting the solution space, particularly in the case of small ratios of the number of jobs to the number of machines. Further, we provide a counter-example to a central result by Ho et al. (2009) who proved that a schedule which minimizes the normalized sum of squared workload deviations is necessarily a makespan-optimal one. We explain why their proof is incorrect and present computational results revealing the difference between workload balancing and makespan minimization. The last chapter of the work is about the minimum cardinality bin covering problem which is a dual problem of machine-covering with respect to bounding techniques. We discuss reduction criteria, derive several lower bound arguments and propose construction heuristics as well as a subset sum-based improvement algorithm. Moreover, we present a tailored branch-and-bound method which is able to solve instances with up to 20 bins.
Scheduling Algorithms
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Author : Peter Brucker
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Scheduling Algorithms written by Peter Brucker 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 2013-04-17 with Business & Economics categories.
Besides scheduling problems for single and parallel machines and shop scheduling problems the book covers advanced models involving due-dates, sequence dependent change over times and batching. Also multiprocessor task scheduling and problems with multi-purpose machines are discussed. The methods used to solve these problems are polynomial algorithms, dynamic programming procedures, branch-and-bound algorithms and local search heuristics. Also complexity issues are addressed.
Algorithms For Scheduling Problems
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Author : FrankWerner
language : en
Publisher: MDPI
Release Date : 2018-08-24
Algorithms For Scheduling Problems written by FrankWerner and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-24 with Mathematics categories.
This book is a printed edition of the Special Issue " Algorithms for Scheduling Problems" that was published in Algorithms
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).
Stochastic Local Search
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Author : Holger H. Hoos
language : en
Publisher: Morgan Kaufmann
Release Date : 2005
Stochastic Local Search written by Holger H. Hoos and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Business & Economics categories.
Stochastic local search (SLS) algorithms are among the most prominent and successful techniques for solving computationally difficult problems. Offering a systematic treatment of SLS algorithms, this book examines the general concepts and specific instances of SLS algorithms and considers their development, analysis and application.
Scheduling
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Author : Michael L. Pinedo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-07
Scheduling written by Michael L. Pinedo 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 2012-01-07 with Business & Economics categories.
This new edition of the well established text Scheduling - Theory, Algorithms, and Systems provides an up-to-date coverage of important theoretical models in the scheduling literature as well as significant scheduling problems that occur in the real world. It again includes supplementary material in the form of slide-shows from industry and movies that show implementations of scheduling systems. The main structure of the book as per previous edition consists of three parts. The first part focuses on deterministic scheduling and the related combinatorial problems. The second part covers probabilistic scheduling models; in this part it is assumed that processing times and other problem data are random and not known in advance. The third part deals with scheduling in practice; it covers heuristics that are popular with practitioners and discusses system design and implementation issues. All three parts of this new edition have been revamped and streamlined. The references have been made completely up-to-date. Theoreticians and practitioners alike will find this book of interest. Graduate students in operations management, operations research, industrial engineering, and computer science will find the book an accessible and invaluable resource. Scheduling - Theory, Algorithms, and Systems will serve as an essential reference for professionals working on scheduling problems in manufacturing, services, and other environments. Reviews of third edition: This well-established text covers both the theory and practice of scheduling. The book begins with motivating examples and the penultimate chapter discusses some commercial scheduling systems and examples of their implementations." (Mathematical Reviews, 2009)
Machine Scheduling Problems With Setup Times
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Author : David Niranjan Williams
language : en
Publisher:
Release Date : 1993
Machine Scheduling Problems With Setup Times written by David Niranjan Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Heuristic programming categories.