Download or read book Tight Approximation Algorithms for Scheduling with Fixed Jobs and Non availability written by Florian Diedrich and published by . This book was released on 2009 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Approximation Algorithms for Stochastic Scheduling Problems written by Brian Christopher Dean and published by . This book was released on 2005 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation we study a broad class of stochastic scheduling problems characterized by the presence of hard deadline constraints. The input to such a problem is a set of jobs, each with an associated value, processing time, and deadline. We would like to schedule these jobs on a set of machines over time. In our stochastic setting, the processing time of each job is random, known in advance only as a probability distribution (and we make no assumptions about the structure of this distribution). Only after a job completes do we know its actual "instantiated" processing time with certainty. Each machine can process only a singe job at a time, and each job must be assigned to only one machine for processing. After a job starts processing we require that it must be allowed to complete - it cannot be canceled or "preempted" (put on hold and resumed later). Our goal is to devise a scheduling policy that maximizes the expected value of jobs that are scheduled by their deadlines. A scheduling policy observes the state of our machines over time, and any time a machine becomes available for use, it selects a new job to execute on that machine. Scheduling policies can be classified as adaptive or non-adaptive based on whether or not they utilize information learned from the instantiation of processing times of previously-completed jobs in their future scheduling decisions. A novel aspect of our work lies in studying the benefit one can obtain through adaptivity, as we show that for all of our stochastic scheduling problems, adaptivity can only allow us to improve the expected value obtained by an optimal policy by at most a small constant factor. All of the problems we consider are at least NP-hard since they contain the deterministic 0/1 knapsack problem as a special case. We therefore seek to develop approximation algorithms: algorithms that run in polynomial time and compute a policy whose expected value is provably close to that of an optimal adaptive policy.
Download or read book Scheduling Problems written by Rodrigo Righi and published by BoD – Books on Demand. This book was released on 2020-07-08 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scheduling is defined as the process of assigning operations to resources over time to optimize a criterion. Problems with scheduling comprise both a set of resources and a set of a consumers. As such, managing scheduling problems involves managing the use of resources by several consumers. This book presents some new applications and trends related to task and data scheduling. In particular, chapters focus on data science, big data, high-performance computing, and Cloud computing environments. In addition, this book presents novel algorithms and literature reviews that will guide current and new researchers who work with load balancing, scheduling, and allocation problems.
Download or read book Algorithms for Scheduling Problems written by FrankWerner and published by MDPI. This book was released on 2018-08-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue " Algorithms for Scheduling Problems" that was published in Algorithms
Download or read book An Approximation Scheme for Scheduling Independent Jobs Into Subcubes of a Hypercube of Fixed Dimension written by Y.. Kopidakis and published by . This book was released on 1995 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Jobs with Communication Delays written by Markus Schäffter and published by . This book was released on 1996 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorial Optimization and Applications written by Guohui Lin and published by Springer. This book was released on 2012-07-26 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference, COCOA 2012, held in Banff, Alberta, Canada, in August 2012. The 33 revised papers including one invited talk and one keynote talk were carefully reviewed and selected from 57 submissions. The papers are focused to theoretical results and also on recent works on experimental and applied research of general algorithmic interest.
Download or read book Approximation Algorithms for Scheduling Parallel Jobs Breaking the Approximation Ratio of 2 written by Klaus Jansen and published by . This book was released on 2008 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation Algorithms for Time Constrained Scheduling written by Klaus Jansen and published by . This book was released on 1995 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In this paper we consider the following time constrained scheduling problem. Given a set of jobs J with execution times e(j)[belonging to] (0,1] and an undirected graph G = (J, E), we consider the problem to find a schedule for the jobs such that adjacent jobs (j, j') [belonging to] E are assigned to different machines and that the total execution time for each machine is at most 1. The goal is to find a minimum number of machines to execute all jobs under this time constraint. This scheduling problem is a natural generalization of the classical bin packing problem. We propose and analyse several approximation algorithms with constant absolute worst case ratio for graphs that can be colored in polynomial time."
Download or read book Combinatorial Optimization and Applications written by Ding-Zhu Du and published by Springer. This book was released on 2009-06-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Combinatorial Optimization and Applications, COCOA 2009, held in Huangshan, China, in June 2009. The 50 revised full papers were carefully reviewed and selected from 103 submissions. The papers feature original research in the areas of combinatorial optimization - both theoretical issues and and applications motivated by real-world problems thus showing convincingly the usefulness and efficiency of the algorithms discussed in a practical setting.
Download or read book The Design of Approximation Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2011-04-26 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.
Download or read book Approximation Algorithms Heuristics for Job Shop Scheduling written by Dan Dan Lin and published by . This book was released on 1998 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation Algorithms for Scheduling and Fair Allocations written by Yihao Zhang and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we will have discussions on two main topics, max-min allocation and schedulingjobs with precedent constraints on machines with communication delays. New approximation algorithms are given in Chapter 2, 4 and 5, where linear programming plays a fairly important role on algorithm designs, while Chapter 3 contains partial results on the general max-min allocation. The Santa Claus problem is also known as the restricted max-min fair allocation. In this problem, Santa Claus has a set of gifts, and he wants to distribute them among a set of children so that the least happy child is made as happy as possible. Here, the value that a child i has for a present j is of the form pij [is an element of] {0, pj}. Based on a modification of Haxell's hypergraph matching argument, a polynomial time algorithm by Annamalai et al. gives a 12.33-approximation. In joint work with Sami Davies and Thomas Rothvoss, a matroid version of the Santa Claus problem is introduced. The algorithm is based on Haxell's augmenting tree, but with the introduction of the matroid structure. Our result can then be used as a blackbox to obtain a (4 + [epsilon])-approximation for Santa Claus, comparing against a natural, compact LP. A recent work of Cheng and Mao [CM19] also gets the factor (4 + [epsilon]). On the second half, we first consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by P | prec, c | Cmax, if two dependent jobs are scheduled on different machines, then at least c units of time must pass between their executions. Despite its relevance to many applications, the best known approximation ratio was O(c), whereas Graham's greedy list scheduling algorithm already gives a (c + 1)-approximation in that setting. 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 Sami Davies, Janardhan Kulkarni, Thomas Rothvoss and Jakub Tarnawski, we give a polynomial-time O(log c · log m)-approximation algorithm for this problem, where m is the number of machines and c is the communication delay. Our approach is based on a Sherali-Adams lift of a linear programming relaxation and a randomized clustering of the semimetric space induced by this lift. Finally, a more general version of this problem is considered in Chapter 5, to minimize the weighted sum of completion times on related machines, denoted by Q | prec, c | wjCj . Our main result is an O(log4 n)-approximation algorithm for the problem. As a byproduct of our result, we also obtain an O(log3 n)-approximation algorithm for the problem of minimizing makespan Q | prec, c | Cmax, which improves upon the O(log5 n/ log log n)-approximation algorithm due to a recent work of Maiti et al. [MRS+20].
Download or read book Frontiers in Algorithmics and Algorithmic Aspects in Information and Management written by Mikhail Atallah and published by Springer. This book was released on 2011-05-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 5th International Frontiers of Algorithmics Workshop, FAW 2011, and the 7th International Conference on Algorithmic Aspects in Information and Management, AAIM 2011, jointly held in Jinhua, China, in May 2011. The 35 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 92 submissions. The papers cover a wide range of topics in the areas of algorithmics, combinatorial optimization and their applications presenting current trends of research.
Download or read book Approximation Algorithms for Scheduling Problems written by Chandra Chekuri and published by . This book was released on 1998 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2. Minimizing makespan on machines with different speeds when jobs have precedence constraints. We obtain an O(log m) approximation (m is the number of machines) in O(n[superscript]3) time.
