Download or read book The Complexity of Unit time Job Shop Scheduling written by Vadim G. Timkovsky and published by . This book was released on 1993 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper states a more precise boundary between polynomially solvable and NP-hard cases of the unit-time job shop scheduling problem. This boundary lies very close to the simplest one, the Lenstra-Rinnooy Kan problem: Given two machines, each of which can process at most one job at a time, a set of jobs, each of which consists of a chain of unit-time operations such that the machines have to process them by turns beginning with a given machine, find a minimal length schedule. This problem has an application in high-speed computing and provides a theoretical interest because it has a particularly concise input making an implementation of any list scheduling algorithm in exponential time. We consider different variants of this problem and establish their complexity status. It is shown that the extensions with different release dates of jobs, maximum lateness criterion and the version with total completion time criterion are solvable in polynomial time. Formerly, only pseudopolynomial-time algorithms have been proposed for the first two variants. The version with total completion time criterion remains solvable in polynomial time even if no wait constraint is added, but becomes NP-hard with different release dates or chain-like precedence relation between jobs. It is shown that the versions with total weighted completion time, total tardiness criteria and some other complications are NP-hard. All NP-hardness results are obtained by employing known NP-hard scheduling problems for identical parallel machines and proving that, in general, for scaled criteria identical parallel machines are not harder than a unit-time job shop. The paper also presents a comprehensive picture of complexity results attained in job shop scheduling area and related open problems."
Download or read book A Book of Open Shop Scheduling written by Wieslaw Kubiak and published by Springer Nature. This book was released on 2022-01-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth presentation of algorithms for and complexity of open shop scheduling. Open shops allow operations of a job to be executed in any order, contrary to flow and job shops where the order is pre-specified. The author brings the field up to date with more emphasis on new and recent results, and connections with graph edge coloring and mathematical programming. The book explores applications to production and operations management, wireless network scheduling, and timetabling. The book is addressed to researchers, graduate students, and practitioners in Operations Research, Operations Management, computer science and mathematics, who are developing and using mathematical approaches to applications in manufacturing, services and distributed wireless network scheduling.
Download or read book Computer and Job shop Scheduling Theory written by John L. Bruno and published by Wiley-Interscience. This book was released on 1976 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to deterministic scheduling theory; Algorithms for minimal-length schedulesComplexity of sequencing problems; Enumerative and iterative computationsl approaches.
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 Scheduling Algorithms written by Peter Brucker and published by Springer Science & Business Media. This book was released on 2013-03-20 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides scheduling problems for single and parallel machines and shop scheduling problems the book covers advanced models involving due-dates, sequence dependent changeover times and batching. Also multiprocessor task scheduling and problems with multipurpose machines are discussed. The method used to solve these problems are linear programming, dynamic programming, branch-and-bound algorithms, and local search heuristics. Complexity results for the different classes of deterministic scheduling problems are updated and summarized. Also the references are updated.
Download or read book Complexity In Numerical Optimization written by Panos M Pardalos and published by World Scientific. This book was released on 1993-07-31 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational complexity, originated from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty.The main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are likely to be tractable.The quest for developing efficient algorithms leads also to elegant general approaches for solving optimization problems, and reveals surprising connections among problems and their solutions.This book is a collection of articles on recent complexity developments in numerical optimization. The topics covered include complexity of approximation algorithms, new polynomial time algorithms for convex quadratic minimization, interior point algorithms, complexity issues regarding test generation of NP-hard problems, complexity of scheduling problems, min-max, fractional combinatorial optimization, fixed point computations and network flow problems.The collection of articles provide a broad spectrum of the direction in which research is going and help to elucidate the nature of computational complexity in optimization. The book will be a valuable source of information to faculty, students and researchers in numerical optimization and related areas.
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).
Download or read book A Time oriented Approach to Computing Optimal Schedules for the Job shop Scheduling Problem written by Paul Douglas Martin and published by . This book was released on 1996 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scheduling in Computer and Manufacturing Systems written by Jacek Blazewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theoretical and application-oriented analysis of deterministic scheduling problems arising in computer and manufacturing environments. The important classical results are surveyed with particular attention paid to single-processor scheduling, along with general models such as resource-constrained scheduling, flexible flow shops, dynamic job shops, and special flexible manufacturing systems. Polynomial and exponential-time optimization algorithms as well as approximation and heuristic ones are presented using a Pascal-like notation, before being discussed in the light of particular problems. Basic concepts from scheduling theory and related fields are described to assist less advanced readers.
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Download or read book Scheduling written by Michael L. Pinedo and published by Springer Nature. This book was released on 2022-12-13 with total page 691 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.
Download or read book Surveys in Combinatorial Optimization written by S. Martello and published by Elsevier. This book was released on 2011-09-22 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers surveying recent progress in the field of Combinatorial Optimization.Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).
Download or read book Graph Theoretic Problems and Their New Applications written by Frank Werner and published by MDPI. This book was released on 2020-05-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.
Download or read book A Job Shop Scheduling Problem written by Smitty L. Schmidt and published by . This book was released on 1963 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evolutionary Scheduling written by Keshav Dahal and published by Springer. This book was released on 2007-04-25 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary scheduling is a vital research domain at the interface of artificial intelligence and operational research. This edited book gives an overview of many of the current developments in the large and growing field of evolutionary scheduling. It demonstrates the applicability of evolutionary computational techniques to solve scheduling problems, not only to small-scale test problems, but also fully-fledged real-world problems.
Download or read book Discrete Optimization I written by and published by Elsevier. This book was released on 2000-04-01 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Optimization I
Download or read book Mathematical Programming written by Richard Cottle and published by North Holland. This book was released on 1984 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
