Download or read book Designing Scheduling Algorithms Via a Mathematical Perspective written by Sami Davies and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document will discuss three problems that I worked on during my Ph.D. Chapter 2 contains my work on the Santa Claus problem, and Chapters 3 and 4 contain my work on scheduling with precedence constraints and communication delays. New algorithms for scheduling and resource allocation problems have far reaching implications, as problems in scheduling and resource allocation are a foundational playground for studying computational hardness and are practically relevant. In the Santa Claus problem, Santa has a set of gifts, and he wants to distribute them among a set of children so that the least happy child is as happy as possible. Child i has value pij for present j, where pij is in { 0,pj}. A modification of Haxell's hypergraph matching argument by Annamalai, Kalaitzis, and Svensson gives a 12.33-approximation algorithm for the problem. In joint work with Thomas Rothvoss and Yihao Zhang, we introduce a matroid version of the Santa Claus problem. While our algorithm is also based on the augmenting tree by Haxell, the introduction of the matroid structure allows us to solve a more general problem with cleaner methods. Using our result from the matroid version of the problem, we obtain a (4+epsilon) approximation algorithm for Santa Claus. In scheduling theory, one of the most poorly understood, yet practically interesting, models is scheduling in the presence of communication delays. Here, if two jobs are dependent and scheduled on different machines, then at least c units of time must pass between their executions. Even for the special case where an unlimited number of identical machines are available, the best known approximation ratio for minimizing makespan is O(c). An outstanding open problem in the top-10 list by Schuurman and Woeginger (and its recent update by Bansal) asks whether there exists a constant-factor approximation algorithm. In joint work with Janardhan Kulkarni, Thomas Rothvoss, Jakub Tarnawski, and Yihao Zhang, we prove a O(log c · log m)-approximation algorithm for the problem of minimizing makespan on m identical machines; this work is presented in Chapter 3. Our approach is based on a Sherali-Adams lift of a linear programming relaxationand a randomized clustering of the semimetric space induced by this lift. We extend our work to the related machines setting and study the objectives of minimizing makespan and minimizing the weighted sum of completion times. Here, we also obtain polylogarithmic approximation algorithms, and these results are presented in Chapter 4.
Download or read book Scheduling Control Based Theory and Polynomial Time Algorithms written by K. Kogan and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a first attempt to systematically collect, classify and solve various continuous-time scheduling problems. The classes of problems distinguish scheduling by the number of machines and products, production constraints and performance measures. Although such classes are usually considered to be a prerogative of only combinatorial scheduling literature, the scheduling methodology suggested in this book is based on two mathematical tools - optimal control and combinatorics. Generally considered as belonging to two totally different areas of research and application, these seemingly irreconcilable tools can be integrated in a unique solution approach with the advantages of both. This new approach provides the possibility of developing effective polynomial-time algorithms to solve the generic scheduling problems. This book is aimed at a student audience - final year undergraduates as well as master and Ph.D. students, primarily in Operations Research, Management, Industrial Engineering and Control Systems. Indeed, some of the material in the book has formed part of the content of undergraduate and graduate courses taught at the Industrial Engineering Department of Tel-Aviv University, the Logistics Department of Bar-Ilan University and the Technology Management Department of Rolon Center for Technological Education, Israel. The book is also useful for practicing engineers interested in planning, scheduling and optimization methods. Since the book addresses the theory and design of computer-based scheduling algorithms, applied mathematicians and computer software specialists engaged in developing scheduling software for industrial engineering and management problems will find that the methods developed here can be embedded very efficiently in large applications.
Download or read book Handbook of Scheduling written by Joseph Y-T. Leung and published by CRC Press. This book was released on 2004-04-27 with total page 1215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides full coverage of the most recent and advanced topics in scheduling, assembling researchers from all relevant disciplines to facilitate new insights. Presented in six parts, these experts provides introductory material, complete with tutorials and algorithms, then examine classical scheduling problems. Part 3 explores scheduling models that originate in areas such as computer science, operations research. The following section examines scheduling problems that arise in real-time systems. Part 5 discusses stochastic scheduling and queueing networks, and the final section discusses a range of applications in a variety of areas, from airlines to hospitals.
Download or read book Mathematical Aspects of Scheduling and Applications written by R. Bellman and published by Elsevier. This book was released on 2014-05-20 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Aspects of Scheduling and Applications addresses the perennial problem of optimal utilization of finite resources in the accomplishment of an assortment of tasks or objectives. The book provides ways to uncover the core of these problems, presents them in mathematical terms, and devises mathematical solutions for them. The book consists of 12 chapters. Chapter 1 deals with network problems, the shortest path problem, and applications to control theory. Chapter 2 stresses the role and use of computers based on the decision-making problems outlined in the preceding chapter. Chapter 3 classifies scheduling problems and their solution approaches. Chapters 4 to 6 discuss machine sequencing problems and techniques. Chapter 5 tackles capacity expansion problems and introduces the technique of embedded state space dynamic programming for reducing dimensionality so that larger problems can be solved. Chapter 6 then examines an important class of network problems with non-serial phase structures and exploits dimensionality reduction techniques, such as the pseudo-stage concept, branch compression, and optimal order elimination methods to solve large-scale, nonlinear network scheduling problems. Chapters 7 to 11 consider the flow-shop scheduling problem under different objectives and constraints. Chapter 12 discusses the job-shop-scheduling problem. The book will be useful to economists, planners, and graduate students in the fields of mathematics, operations research, management science, computer science, and engineering.
Download or read book Scheduling Control Based Theory and Polynomial Time Algorithms written by K. Kogan and published by Springer. This book was released on 2000-10-31 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a first attempt to systematically collect, classify and solve various continuous-time scheduling problems. The classes of problems distinguish scheduling by the number of machines and products, production constraints and performance measures. Although such classes are usually considered to be a prerogative of only combinatorial scheduling literature, the scheduling methodology suggested in this book is based on two mathematical tools - optimal control and combinatorics. Generally considered as belonging to two totally different areas of research and application, these seemingly irreconcilable tools can be integrated in a unique solution approach with the advantages of both. This new approach provides the possibility of developing effective polynomial-time algorithms to solve the generic scheduling problems. This book is aimed at a student audience - final year undergraduates as well as master and Ph.D. students, primarily in Operations Research, Management, Industrial Engineering and Control Systems. Indeed, some of the material in the book has formed part of the content of undergraduate and graduate courses taught at the Industrial Engineering Department of Tel-Aviv University, the Logistics Department of Bar-Ilan University and the Technology Management Department of Rolon Center for Technological Education, Israel. The book is also useful for practicing engineers interested in planning, scheduling and optimization methods. Since the book addresses the theory and design of computer-based scheduling algorithms, applied mathematicians and computer software specialists engaged in developing scheduling software for industrial engineering and management problems will find that the methods developed here can be embedded very efficiently in large applications.
Download or read book Handbook on Scheduling written by Jacek Błażewicz and published by Springer Science & Business Media. This book was released on 2007-06-12 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical and application-oriented analysis of deterministic scheduling problems in advanced planning and computer systems. The text examines scheduling problems across a range of parameters: job priority, release times, due dates, processing times, precedence constraints, resource usage and more, focusing on such topics as computer systems and supply chain management. Discussion includes single and parallel processors, flexible shops and manufacturing systems, and resource-constrained project scheduling. Many applications from industry and service operations management and case studies are described. The handbook will be useful to a broad audience, from researchers to practitioners, graduate and advanced undergraduate students.
Download or read book Scheduling Theory and Its Applications written by Philippe Chrétienne and published by John Wiley & Sons. This book was released on 1995-09-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering deterministic scheduling, stochastic scheduling, and the probabilistic analysis of algorithms, this unusually broad view of the subject brings together tutorials, surveys and articles with original results from foremost international experts. The contributions reflect the great diversity in scheduling theory in terms of academic disciplines, applications areas, fundamental approaches and mathematical skills. This book will help researchers to be aware of the progress in the various areas of specialization and the possible influences that this progress may have on their own specialities. Few disciplines are driven so much by continually changing and expanding technology, a fact that gives scheduling a permanence while adding to the excitement of designing and analyzing new systems. The book will be a vital resource for researchers and graduate students of computer science, applied mathematics and operational research who wish to remain up-to-date on the scheduling models and problems of many of the newest technologies in industry, commerce, and the computer and communications sciences.
Download or read book Mathematical Perspectives on Neural Networks written by Paul Smolensky and published by Psychology Press. This book was released on 2013-05-13 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen an explosion of new mathematical results on learning and processing in neural networks. This body of results rests on a breadth of mathematical background which even few specialists possess. In a format intermediate between a textbook and a collection of research articles, this book has been assembled to present a sample of these results, and to fill in the necessary background, in such areas as computability theory, computational complexity theory, the theory of analog computation, stochastic processes, dynamical systems, control theory, time-series analysis, Bayesian analysis, regularization theory, information theory, computational learning theory, and mathematical statistics. Mathematical models of neural networks display an amazing richness and diversity. Neural networks can be formally modeled as computational systems, as physical or dynamical systems, and as statistical analyzers. Within each of these three broad perspectives, there are a number of particular approaches. For each of 16 particular mathematical perspectives on neural networks, the contributing authors provide introductions to the background mathematics, and address questions such as: * Exactly what mathematical systems are used to model neural networks from the given perspective? * What formal questions about neural networks can then be addressed? * What are typical results that can be obtained? and * What are the outstanding open problems? A distinctive feature of this volume is that for each perspective presented in one of the contributed chapters, the first editor has provided a moderately detailed summary of the formal results and the requisite mathematical concepts. These summaries are presented in four chapters that tie together the 16 contributed chapters: three develop a coherent view of the three general perspectives -- computational, dynamical, and statistical; the other assembles these three perspectives into a unified overview of the neural networks field.
Download or read book Scheduling written by Michael L. Pinedo and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth edition provides expanded Discussion and Comments and References sections at the end of each chapter, creating a spotlight on practical applications of the theory presented in that chapter. New topics include rules for stochastic parallel machine scheduling and for stochastic online scheduling, models of flow shops with reentry, fixed parameter tractability, and new designs and 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 and the references have been made 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. Michael L. Pinedo is the Julius Schlesinger Professor of Operations Management in the Stern School of Business at New York University. Review 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).
Download or read book Integrated Process Design and Operational Optimization via Multiparametric Programming written by Baris Burnak and published by Springer Nature. This book was released on 2022-06-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive optimization-based theory and framework that exploits the synergistic interactions and tradeoffs between process design and operational decisions that span different time scales. Conventional methods in the process industry often isolate decision making mechanisms with a hierarchical information flow to achieve tractable problems, risking suboptimal, even infeasible operations. In this book, foundations of a systematic model-based strategy for simultaneous process design, scheduling, and control optimization is detailed to achieve reduced cost and improved energy consumption in process systems. The material covered in this book is well suited for the use of industrial practitioners, academics, and researchers. In Chapter 1, a historical perspective on the milestones in model-based design optimization techniques is presented along with an overview of the state-of-the-art mathematical tools to solve the resulting complex problems. Chapters 2 and 3 discuss two fundamental concepts that are essential for the reader. These concepts are (i) mixed integer dynamic optimization problems and two algorithms to solve this class of optimization problems, and (ii) developing a model based multiparametric programming model predictive control. These tools are used to systematically evaluate the tradeoffs between different time-scale decisions based on a single high-fidelity model, as demonstrated on (i) design and control, (ii) scheduling and control, and (iii) design, scheduling, and control problems. We present illustrative examples on chemical processing units, including continuous stirred tank reactors, distillation columns, and combined heat and power regeneration units, along with discussions of other relevant work in the literature for each class of problems.
Download or read book Proceedings of the Sixth Annual ACM SIAM Symposium on Discrete Algorithms written by and published by SIAM. This book was released on 1995-01-01 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the January 1995 symposium, sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics, comprise 70 papers. Among the topics: on-line approximate list indexing with applications; finding subsets maximizing minimum structures; register allocation in structured programs; and splay trees for data compression. No index. Annotation copyright by Book News, Inc., Portland, OR
Download or read book Breakthrough Perspectives in Network and Data Communications Security Design and Applications written by Bose, Indranil and published by IGI Global. This book was released on 2008-12-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses key issues and offers expert viewpoints into the field of network and data communications. Presents research articles that investigate the most significant issues in network and data communications.
Download or read book Algorithms for Deterministic and Stochastic Scheduling written by and published by Cuvillier Verlag. This book was released on 2002-03-17 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Control and Scheduling Codesign written by Feng Xia and published by Springer Science & Business Media. This book was released on 2008-10-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: With emphasis on flexible resource management in networked and embedded real-time control systems operating in dynamic environments with uncertainty, this book is devoted to the integration of control with computing and communication. It covers the authors' recent and original research results within a unified framework of feedback scheduling. This useful reference also includes rich example problems, case studies, and extensive references to the literature.
Download or read book Organization and Governance Using Algorithms written by Ioannis Avramopoulos and published by Emerald Group Publishing. This book was released on 2023-11-29 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Avramopoulos offers a ground-breaking theory and application on organisational systems design, including discussions on organisational systems design requirements, such as productivity, emotion, and reward, the problems of unaccountability, including hierarchical delegation, and the benefits of accountable design.
Download or read book Introduction to Optimum Design written by Jasbir Arora and published by Academic Press. This book was released on 2011-08-17 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Optimum Design is the most widely used textbook in engineering optimization and optimum design courses. It is intended for use in a first course on engineering design and optimization at the undergraduate or graduate level within engineering departments of all disciplines, but primarily within mechanical, aerospace and civil engineering. The basic approach of the text is to describe an organized approach to engineering design optimization in a rigorous yet simplified manner, illustrate various concepts and procedures with simple examples, and demonstrate their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB are featured throughout as learning and teaching aids. The 3rd edition has been reorganized and enhanced with new material, making the book even more appealing to instructors regardless of the level they teach the course. Examples include moving the introductory chapter on Excel and MATLAB closer to the front of the book and adding an early chapter on practical design examples for the more introductory course, and including a final chapter on advanced topics for the purely graduate level course. Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable. Applications of the methods for structural, mechanical, aerospace and industrial engineering problems. Introduction to MATLAB Optimization Toolbox. Optimum design with Excel Solver has been expanded into a full chapter. Practical design examples introduce students to usage of optimization methods early in the book. New material on several advanced optimum design topics serves the needs of instructors teaching more advanced courses.
Download or read book Integration of Process Planning and Scheduling written by Rakesh Kumar Phanden and published by CRC Press. This book was released on 2019-10-16 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both process planning and scheduling are very important functions of manufacturing, which affect together the cost to manufacture a product and the time to deliver it. This book contains various approaches proposed by researchers to integrate the process planning and scheduling functions of manufacturing under varying configurations of shops. It is useful for both beginners and advanced researchers to understand and formulate the Integration Process Planning and Scheduling (IPPS) problem effectively. Features Covers the basics of both process planning and scheduling Presents nonlinear approaches, closed-loop approaches, as well as distributed approaches Discuss the outfit of IPPS in Industry 4.0 paradigm Includes the benchmarking problems on IPPS Contains nature-algorithms and metaheuristics for performance measurements in IPPS Presents analysis of energy-efficient objective for sustainable manufacturing in IPPS
