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Book Approximation and Online Algorithms

Download or read book Approximation and Online Algorithms written by Evripidis Bampis and published by Springer Science & Business Media. This book was released on 2010-04-23 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post workshop proceedings of the 7th International Workshop on Approximation and Online Algorithms, WAOA 2009, held in Copenhagen, Denmark, in September 2009 as part of the ALGO 2009 conference event. The 22 revised full papers presented were carefully reviewed and selected from 62 submissions. The workshop covered areas such as algorithmic game theory, approximation classes, coloring and partitioning, competitive analysis, computational finance, cuts and connectivity, geometric problems, inapproximability results, mechanism design, network design, packing and covering, paradigms for design and analysis of approximation and online algorithms, parameterized complexity, randomization techniques, real-world applications, and scheduling problems.

Book Automata Languages and Programming

Download or read book Automata Languages and Programming written by Luca Aceto and published by Springer Science & Business Media. This book was released on 2008-06-24 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICALP 2008, the 35th edition of the International Colloquium on Automata, Languages and Programming, was held in Reykjavik, Iceland, July 7–11, 2008. ICALP is a series of annual conferences of the European Association for Th- reticalComputer Science(EATCS) which ?rsttook placein 1972.This year,the ICALP program consisted of the established Track A (focusing on algorithms, automata,complexityandgames)andTrackB(focusing onlogic,semanticsand theory of programming), and of the recently introduced Track C (focusing on security and cryptography foundations). In response to the call for papers, the Program Committees received 477 submissions, the highest ever: 269 for Track A, 122 for TrackB and 86 for Track C. Out of these, 126 papers were selected for inclusion in the scienti?c program: 70 papers for Track A, 32 for Track B and 24 for Track C. The selection was made by the Program Committees based on originality, quality, and relevance to theoretical computer science. The quality of the manuscripts was very high indeed, and many deserving papers could not be selected. ICALP 2008 consisted of ?ve invited lectures and the contributed papers.

Book Approximation Algorithms for Multi processor Task Scheduling Problems on Identical Parallel Processors

Download or read book Approximation Algorithms for Multi processor Task Scheduling Problems on Identical Parallel Processors written by Saber Khakpash and published by . This book was released on 2013 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we present approximation algorithms for some multi-processor task scheduling problems. In a scheduling problem, there is a set of processors P that can be used to process a set of tasks T and the goal is to find a feasible scheduling of the tasks on the processors, while optimizing an objective function. In a multi-processor task scheduling problem, tasks can be executed on several processors simultaneously. In scheduling problems, tasks can be preemptive or non-preemptive. Preemptive tasks can be interrupted during their execution and resumed later with no cost. In contrast, a non-preemptive task cannot be interrupted during its execution. In Chapter 2 we propose polynomial time algorithms using linear programming to solve the preemptive scheduling problems for minimizing the maximum completion time, the maximum latency, and the maximum flow time. In Chapter 3 we consider two non-preemptive scheduling problems: the problem of minimizing the maximum completion time when tasks have minimum degree of parallelism, and problem of minimizing the maximum flow time. In Chapter 4 we consider online scheduling of multi-processor tasks with minimum degree of parallelism. In online scheduling, the scheduler does not have access to the entire input instance initially and the scheduler will have access to tasks' characteristics over time. We show that it is not possible for an online scheduler to find a feasible scheduling for all input instances of the problem. We propose a bicriteria (O(log m),1)-approximation algorithm for the problem.

Book Algorithms and Data Structures

Download or read book Algorithms and Data Structures written by Frank Dehne and published by Springer. This book was released on 2011-07-18 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th Algorithms and Data Structures Symposium, WADS 2011, held in New York, NY, USA, in August 2011. The Algorithms and Data Structures Symposium - WADS (formerly "Workshop on Algorithms and Data Structures") is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. The 59 revised full papers presented in this volume were carefully reviewed and selected from 141 submissions. The papers present original research on the theory and application of algorithms and data structures in all areas, including combinatorics, computational geometry, databases, graphics, parallel and distributed computing.

Book Algorithms and Complexity

Download or read book Algorithms and Complexity written by Paul G. Spirakis and published by Springer. This book was released on 2013-05-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 8th International Conference on Algorithms and Complexity, CIAC 2013, held in Barcelona, Spain, during May 22-24, 2013. The 31 revised full papers presented were carefully reviewed and selected from 75 submissions. The papers present current research in all aspects of computational complexity and the use, design, analysis and experimentation of efficient algorithms and data structures.

Book Approximation Algorithms for Scheduling and Fair Allocations

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].

Book Approximation Algorithms for Stochastic Scheduling on Unrelated Machines

Download or read book Approximation Algorithms for Stochastic Scheduling on Unrelated Machines written by Jacob Healy Scott and published by . This book was released on 2008 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by problems in distributed computing, this thesis presents the first nontrivial polynomial time approximation algorithms for an important class of machine scheduling problems. We study the family of preemptive minimum makespan scheduling problems where jobs have stochastic processing requirements and provide the first approximation algorithms for these problems when machines have unrelated speeds. We show a series of algorithms that apply given increasingly general classes of precedence constraints on jobs. Letting n and m be, respectively, the number of jobs and machines in an instance, when jobs need an exponentially distributed amount of processing, we give: -- An O(log log min {m, n} )-approximation algorithm when jobs are independent; -- An 0 (log(n + m) log log min {m, n})-approximation algorithm when precedence constraints form disjoint chains; and, -- An O(log n log(n + m) log log min {m, n} )-approximation algorithm when precedence constraints form a directed forest. Very simple modifications allow our algorithms to apply to more general distributions, at the cost of slightly worse approximation ratios. Our O(log log n)-approximation algorithm for independent jobs holds when we allow restarting instead of preemption. Here jobs may switch machines, but lose all previous processing if they do so. We also consider problems in the framework of scheduling under uncertainty. This model considers jobs that require unit processing on machines with identical speeds. However, after processing a job to completion, a machine has an (unrelated) probability of failing and leaving the job uncompleted. This difficulty is offset by allowing multiple machines to process a job simultaneously. We prove that this model is equivalent to a slightly modified version of the family of problems described above and provide approximation algorithms for analogous problems with identical ratios.

Book Approximation Algorithms for Scheduling Unrelated Parallel Machines

Download or read book Approximation Algorithms for Scheduling Unrelated Parallel Machines written by Jan Karel Lenstra and published by . This book was released on 1987 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Parallel Processing and Applied Mathematics

Download or read book Parallel Processing and Applied Mathematics written by Roman Wyrzykowski and published by Springer Science & Business Media. This book was released on 2004-04-26 with total page 1193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Parallel Processing and Applied Mathematics, PPAM 2003, held in Czestochowa, Poland, in September 2003. The 149 papers presented were carefully selected and improved during two rounds of reviewing and revision. The papers are organized in topical sections on parallel and distributed architectures, scheduling and load balancing, performance analysis and prediction, parallel and distributed non-numerical algorithms, parallel and distributed programming, tools and environments, applications, evolutionary computing, soft computing data and knowledge management, numerical methods and their applications, multi-dimensional systems, grid computing, heterogeneous platforms, high performance numerical computation, large-scale scientific computation, and bioinformatics applications.

Book Algorithms and Computation

Download or read book Algorithms and Computation written by Khaled Elbassioni and published by Springer. This book was released on 2015-12-07 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 26th International Symposium on Algorithms and Computation, ISAAC 2015, held in Nagoya, Japan, in December 2015. The 65 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 180 submissions for inclusion in the book. The focus of the volume is on the following topics: computational geometry; data structures; combinatorial optimization and approximation algorithms; randomized algorithms; graph algorithms and FPT; computational complexity; graph drawing and planar graphs; online and streaming algorithms; and string and DNA algorithms.

Book Approximation Algorithms for Scheduling Problems

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.