Download or read book Experimental Comparison of Approximation Algorithms for Scheduling Unrelated Parallel Machines written by Tjark Vredeveld and published by . This book was released on 2001 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Experimental comparison of approximation algorithms for scheduling unrelated parallel machines written by T. Vredeveld and published by . This book was released on 2001 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Algorithms ESA 2014 written by Andreas S. Schulz and published by Springer. This book was released on 2014-08-16 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22st Annual European Symposium on Algorithms, ESA 2014, held in Wrocław, Poland, in September 2014, as part of ALGO 2014. The 69 revised full papers presented were carefully reviewed and selected from 269 initial submissions: 57 out of 221 in Track A, Design and Analysis, and 12 out of 48 in Track B, Engineering and Applications. The papers present original research in the areas of design and mathematical analysis of algorithms; engineering, experimental analysis, and real-world applications of algorithms and data structures.
Download or read book Approximation for Scheduling on Parallel Machines with Fixed Jobs Or Unavailability Periods written by Liliana Grigoriu and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Parallel Problem Solving from Nature PPSN XII written by Carlos Coello Coello and published by Springer. This book was released on 2012-08-27 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume set LNCS 7491 and 7492 constitutes the refereed proceedings of the 12th International Conference on Parallel Problem Solving from Nature, PPSN 2012, held in Taormina, Sicily, Italy, in September 2012. The total of 105 revised full papers were carefully reviewed and selected from 226 submissions. The meeting began with 6 workshops which offered an ideal opportunity to explore specific topics in evolutionary computation, bio-inspired computing and metaheuristics. PPSN 2012 also included 8 tutorials. The papers are organized in topical sections on evolutionary computation; machine learning, classifier systems, image processing; experimental analysis, encoding, EDA, GP; multiobjective optimization; swarm intelligence, collective behavior, coevolution and robotics; memetic algorithms, hybridized techniques, meta and hyperheuristics; and applications.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Time Dependent Scheduling written by Stanislaw Gawiejnowicz and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-dependent scheduling involves problems in which the processing times of jobs depend on when those jobs are started. This book is a comprehensive study of complexity results and optimal and suboptimal algorithms concerning time-dependent scheduling in single-, parallel- and dedicated-machine environments. In addition to complexity issues and exact or heuristic algorithms which are typically presented in scheduling books, the author also includes more advanced topics such as matrix methods in time-dependent scheduling, and time-dependent scheduling with two criteria. The reader should be familiar with basic notions of calculus, discrete mathematics and combinatorial optimization theory, while the book offers introductory material on NP-complete problems, and the basics of scheduling theory. The author includes numerous examples, figures and tables, he presents different classes of algorithms using pseudocode, and he completes the book with an extensive bibliography, and author, symbol and subject indexes. The book is suitable for researchers working on scheduling, problem complexity, optimization, heuristics and local search algorithms.
Download or read book Scheduling Unrelated Parallel Machines written by Andreas Wotzlaw and published by VDM Publishing. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bank of parallel machines is an important setting in computer science. When dealing with parallel machines, the minimization of the maximal load (makespan) becomes an objective of significant interest. In practice one often has to balance the load on parallel machines, e.g., on computer processors. By minimizing the makespan an excellent load balance can be ensured. The book considers the problem of scheduling independent jobs on unrelated parallel machines without preemption. The problem belongs to the most difficult problems of theoretical computer science. The first part gives an introduction to the scheduling theory. Next nine new methods designed to solve the scheduling problem are introduced. The algorithms proposed here use various algorithmic techniques like network flows, linear programming, column generation, branch-and-price, cutting planes, or randomized rounding. The last part presents a comprehensive evaluation of eighteen methods, new and old ones, using algorithmic approaches discussed earlier. The book is addressed to all interested in new results in the scheduling theory, especially to computer scientists, operations research analysts, and industrial engineers.
Download or read book Duality based Algorithms for Scheduling Unrelated Parallel Machines written by S. L. van der Velde and published by . This book was released on 1990 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Machine Scheduling Problems written by A.H.G. Rinnooy Kan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].
Download or read book Knapsack Problems written by Silvano Martello and published by . This book was released on 1990-12-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a state of art examination on exact and approximate algorithms for a number of important NP-hard problems in the field of integer linear programming, which the authors refer to as ``knapsack.'' Includes not only the classical knapsack problems such as binary, bounded, unbounded or binary multiple, but also less familiar problems such as subset-sum and change-making. Well known problems that are not usually classified in the knapsack area, including generalized assignment and bin packing, are also covered. The text fully develops an algorithmic approach without losing mathematical rigor.
Download or read book Parallel Processing and Applied Mathematics written by Roman Wyrzykowski and published by Springer. This book was released on 2014-05-07 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume-set (LNCS 8384 and 8385) constitutes the refereed proceedings of the 10th International Conference of Parallel Processing and Applied Mathematics, PPAM 2013, held in Warsaw, Poland, in September 2013. The 143 revised full papers presented in both volumes were carefully reviewed and selected from numerous submissions. The papers cover important fields of parallel/distributed/cloud computing and applied mathematics, such as numerical algorithms and parallel scientific computing; parallel non-numerical algorithms; tools and environments for parallel/distributed/cloud computing; applications of parallel computing; applied mathematics, evolutionary computing and metaheuristics.
Download or read book Improved Approximation Schemes for Scheduling Unrelated Parallel Machines written by Klaus Jansen and published by . This book was released on 1998 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We consider the problem of scheduling n independent jobs on m unrelated parallel machines. Each job has to be processed by exactly one machine, processing job j on machine i requires p[subscript ij] time units, and the objective is to minimize the makespan, i.e. the maximum job completion time. We focus on the case when m is fixed and develop a fully polynomial approximation scheme whose running time depends only linearly on n. In the second half of the paper we extend this result to a variant of the problem, where processing job j on machine i also incurs a cost of c[subscript ij], and thus there are two optimization criteria: makespan and cost. We show that for any fixed m, there is a fully polynomial approximation scheme that, given values T and C, computes for any fixed [epsilon]> 0 a schedule in O(n) time with makespan at most (1 + [epsilon])T and cost at most (1 + [epsilon])C, if there exists a schedule of makespan T and cost C."
Download or read book Approximation Algorithms for Scheduling Series Parallel Order Subject to Unit Time Communication Delays written by Rolf H. Möhring and published by . This book was released on 1995 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
