Download or read book Experimental Study of Performance of Minimum Spanning Tree Algorithms written by Alec Berenbaum and published by . This book was released on 1998 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the results of the experimental study of the impact the data structures have on performances of Kruskal's and Prim's algorithms for finding minimum-cost spanning trees in connected undirected graphs. Compares performance of the practical implementations of Kruskal's and Prim's algorithms to their theoretical counterparts, as well as to measure and compare the differences in performances for various implementations of one algorithm, with respect to different implementation of the essential data structures.

Download or read book Encyclopedia of Algorithms written by Ming-Yang Kao and published by Springer Science & Business Media. This book was released on 2008-08-06 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.

Download or read book Boruvka Minimum Spanning Tree Parallel Algorithm with Applications to Satellite Networks written by Colby D. LaRue and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Minimum Spanning Tree (MST) algorithms are used in many fields. This thesis will start by walking through various classical algorithms for finding a minimum spanning tree for a graph and weighing the pros and cons of each algorithm for different types of graphs, such as complete, large, or disconnected graphs. Then, Boruvka’s MST algorithm will be reviewed in greater detail. One of the major issues with most graph algorithms is that they can be slow for large data sets due to the serial nature of classical algorithms, and for many applications, this is acceptable. However, if an application needs to perform this calculation in a matter of seconds, it is not likely to be performant. Consider the use case of a large moving satellite constellation that must continuously find its most optimal network topology. With the rise of ubiquitous computing and the Internet of Things, the efficiency of algorithms is as vital as ever, with applications ranging from agriculture and defense to medical research and finance. Even digital art has applications with the development of new artificial intelligence and machine learning algorithms. This study will focus on a space research application involving prominent moving satellite constellations. There are many techniques to improve existing algorithms. Considering a parallel implementation is often essential when scalability or performance is a concern. Precisely for this study, parallelization of the minimum spanning tree algorithm is considered. After reviewing the techniques used for parallelizing algorithms, a parallel implementation of Boruvka’s algorithm will be written based on the contractive approach. A time complexity analysis of the serial Boruvka algorithm will then be compared to the parallelized version of Boruvka’s algorithm. While graph algorithms for supercomputers, high-performance computers, and GPUs have been studied extensively, few results exist for the emerging multi-core CPU platforms. Our work is addressing one of the fundamental problems in graph theory and applications, the calculation of the MST for a given graph. Multiple algorithms for calculating the MST exist. We are reporting here on our implementation of Boruvka’s MST algorithm that runs either serially on one CPU core, or in parallel on two or more cores. We report the efficiency gains made when applying our implementation of the algorithm to large random graphs, with increasing the number of cores. We then quantify its performance on a real-world graph that represents a large satellite network. An example satellite constellation will be used based on SpaceX’s Starlink commercial constellation. The results will be compared using one instance in time of the constellation. This application of the spanning tree can be easily integrated with a real time simulation framework. This thesis will outline a basic example of how that might be done using the CesiumJS library. The parallelized Boruvka minimum spanning tree implementation was run with various data sets and compared to the classical algorithm implementation. The speedup was on the order of approximately 10% with 8 goroutines.

Download or read book High Performance Computing HiPC 2004 written by Luc Bougé and published by Springer Science & Business Media. This book was released on 2004-12-08 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on High-Performance Computing, HiPC 2004, held in Bangalore, India in December 2004. The 48 revised full papers presented were carefully reviewed and selected from 253 submissions. The papers are organized in topical sections on wireless network management, compilers and runtime systems, high performance scientific applications, peer-to-peer and storage systems, high performance processors and routers, grids and storage systems, energy-aware and high-performance networking, and distributed algorithms.

Download or read book Experimental and Efficient Algorithms written by Sotiris Nikoletseas and published by Springer Science & Business Media. This book was released on 2005-04-28 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Workshop on Experimental and Efficient Algorithms, WEA 2005, held in Santorini Island, Greece in May 2005. The 47 revised full papers and 7 revised short papers presented together with extended abstracts of 3 invited talks were carefully reviewed and selected from 176 submissions. The book is devoted to the design, analysis, implementation, experimental evaluation, and engineering of efficient algorithms. Among the application areas addressed are most fields applying advanced algorithmic techniques, such as combinatorial optimization, approximation, graph theory, discrete mathematics, scheduling, searching, sorting, string matching, coding, networking, data mining, data analysis, etc.

Download or read book Experimental Algorithmics written by Rudolf Fleischer and published by Springer. This book was released on 2003-07-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental algorithmics, as its name indicates, combines algorithmic work and experimentation: algorithms are not just designed, but also implemented and tested on a variety of instances. Perhaps the most important lesson in this process is that designing an algorithm is but the first step in the process of developing robust and efficient software for applications. Based on a seminar held at Dagstuhl Castle, Germany in September 2000, this state-of-the-art survey presents a coherent survey of the work done in the area so far. The 11 carefully reviewed chapters provide complete coverage of all current topics in experimental algorithmics.

Download or read book BSP Implementation of Boruvka s Minimum Spanning Tree Algorithm written by Ding Chu and published by . This book was released on 2015 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, a parallel Minimum Spanning Tree algorithm (MST) is implemented under a Bulk Synchronous Parallel (BSP) graph computation platform. Given a graph with positive weights, MST problem is to find a minimum weight set of edges that connects all of the vertices. MST has been an interesting topic of graph theory for a long time and it has many applications: network design, approximation algorithm of Steiner Tree, cluster analysis, etc. There are classic algorithms of finding the MST. When it comes to the big graph, however, these options do not work very well. In the last decade, many efficient frameworks of dealing big data have been proposed: MapReduce, Pregel, etc. Moreover, the BSP graph processing system makes it possible to run the parallel graph algorithms even in a single machine. In this study, a parallel MST algorithm is implemented based on a BSP-like graph processing platform. In the implementation, there are some classic parallel algorithm design issues: leader selection, information synchronization, etc. One concrete example is provided to go through all the algorithm details. A detailed experimental evaluation is also attached which shows the algorithm performance and possible direction for future improvement.

Download or read book Experimental Algorithms written by Camil Demetrescu and published by Springer. This book was released on 2007-06-27 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Workshop on Experimental and Efficient Algorithms, WEA 2007, held in Rome, Italy, in June 2007. The 30 revised full papers presented together with three invited talks cover the design, analysis, implementation, experimental evaluation, and engineering of efficient algorithms.

Download or read book Algorithms ESA 2009 written by Amos Fiat and published by Springer Science & Business Media. This book was released on 2009-09-03 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th Annual European Symposium on Algorithms, ESA 2009, held in Copenhagen, Denmark, in September 2009 in the context of the combined conference ALGO 2009. The 67 revised full papers presented together with 3 invited lectures were carefully reviewed and selected: 56 papers out of 222 submissions for the design and analysis track and 10 out of 36 submissions in the engineering and applications track. The papers are organized in topical sections on trees, geometry, mathematical programming, algorithmic game theory, navigation and routing, graphs and point sets, bioinformatics, wireless communiations, flows, matrices, compression, scheduling, streaming, online algorithms, bluetooth and dial a ride, decomposition and covering, algorithm engineering, parameterized algorithms, data structures, and hashing and lowest common ancestor.

Download or read book Handbook of Algorithms for Physical Design Automation written by Charles J. Alpert and published by CRC Press. This book was released on 2008-11-12 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physical design flow of any project depends upon the size of the design, the technology, the number of designers, the clock frequency, and the time to do the design. As technology advances and design-styles change, physical design flows are constantly reinvented as traditional phases are removed and new ones are added to accommodate changes in technology. Handbook of Algorithms for Physical Design Automation provides a detailed overview of VLSI physical design automation, emphasizing state-of-the-art techniques, trends and improvements that have emerged during the previous decade. After a brief introduction to the modern physical design problem, basic algorithmic techniques, and partitioning, the book discusses significant advances in floorplanning representations and describes recent formulations of the floorplanning problem. The text also addresses issues of placement, net layout and optimization, routing multiple signal nets, manufacturability, physical synthesis, special nets, and designing for specialized technologies. It includes a personal perspective from Ralph Otten as he looks back on the major technical milestones in the history of physical design automation. Although several books on this topic are currently available, most are either too broad or out of date. Alternatively, proceedings and journal articles are valuable resources for researchers in this area, but the material is widely dispersed in the literature. This handbook pulls together a broad variety of perspectives on the most challenging problems in the field, and focuses on emerging problems and research results.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Optimization Theory and Operations Research written by Igor Bykadorov and published by Springer Nature. This book was released on 2019-10-26 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised and selected papers from the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 40 full papers and 4 short papers presented in this volume were carefully reviewed and selected from a total of 170 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; game theory and mathematical economics; data mining and computational geometry; integer programming; mathematical programming; operations research; optimal control and applications.

Download or read book Parallel Implementation of Bor vka s Minimum Spanning Tree Algorithm written by Sun Chung and published by . This book was released on 1996 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We study parallel algorithms for the minimum spanning tree problem, based on the sequential algorithm of Borůvka. The target architectures for our algorithm are asynchronous, distributed-memory machines. Analysis of our parallel algorithm, on a simple model that is reminiscent of the LogP model, shows that in principle a speedup proportional to the number of processors can be achieved, but that communication costs can be significant. To reduce these costs, we develop a new randomized linear work pointer jumping scheme that performs better than previous linear work algorithms. We also consider empirically the effects of data imbalance on the running time. For the graphs used in our experiments, load balancing schemes result in little improvement in running times. Our implementations on sparse graphs with 64,000 vertices on Thinking Machine's CM-5 achieve a speedup factor of about 4 on 16 processors. On this environment, packaging of messages turns out to be the most effective way to reduce communication costs."

Download or read book High Performance Computing written by and published by . This book was released on 2004 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Decentralized Spatial Computing written by Matt Duckham and published by Springer Science & Business Media. This book was released on 2012-07-27 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing increasingly happens somewhere, with that geographic location important to the computational process itself. Many new and evolving spatial technologies, such as geosensor networks and smartphones, embody this trend. Conventional approaches to spatial computing are centralized, and do not account for the inherently decentralized nature of "computing somewhere": the limited, local knowledge of individual system components, and the interaction between those components at different locations. On the other hand, despite being an established topic in distributed systems, decentralized computing is not concerned with geographical constraints to the generation and movement of information. In this context, of (centralized) spatial computing and decentralized (non-spatial) computing, the key question becomes: "What makes decentralized spatial computing special?" In Part I of the book the author covers the foundational concepts, structures, and design techniques for decentralized computing with spatial and spatiotemporal information. In Part II he applies those concepts and techniques to the development of algorithms for decentralized spatial computing, stepping through a suite of increasingly sophisticated algorithms: from algorithms with minimal spatial information about their neighborhoods; to algorithms with access to more detailed spatial information, such as direction, distance, or coordinate location; to truly spatiotemporal algorithms that monitor environments that are dynamic, even using networks that are mobile or volatile. Finally, in Part III the author shows how decentralized spatial and spatiotemporal algorithms designed using the techniques explored in Part II can be simulated and tested. In particular, he investigates empirically the important properties of a decentralized spatial algorithm: its computational efficiency and its robustness to unavoidable uncertainty. Part III concludes with a survey of the opportunities for connecting decentralized spatial computing to ongoing research and emerging hot topics in related fields, such as biologically inspired computing, geovisualization, and stream computing. The book is written for students and researchers of computer science and geographic information science. Throughout the book the author's style is characterized by a focus on the broader message, explaining the process of decentralized spatial algorithm design rather than the technical details. Each chapter ends with review questions designed to test the reader's understanding of the material and to point to further work or research. The book includes short appendices on discrete mathematics and SQL. Simulation models written in NetLogo and associated source code for all the algorithms presented in the book can be found on the author's accompanying website.

Download or read book Dynamics in Logistics written by Michael Freitag and published by Springer Nature. This book was released on 2021-12-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book highlights the interdisciplinary aspects of logistics research. Featuring empirical, methodological, and practice-oriented articles, it addresses the modelling, planning, optimization and control of processes. Chiefly focusing on supply chains, logistics networks, production systems, and systems and facilities for material flows, the respective contributions combine research on classical supply chain management, digitalized business processes, production engineering, electrical engineering, computer science and mathematical optimization. To celebrate 25 years of interdisciplinary and collaborative research conducted at the Bremen Research Cluster for Dynamics in Logistics (LogDynamics), in this book hand-picked experts currently or formerly affiliated with the Cluster provide retrospectives, present cutting-edge research, and outline future research directions.

Download or read book Algorithm Engineering written by Jeffrey S. Vitter and published by Springer. This book was released on 2003-05-15 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Algorithm Engineering, WAE'99, held in London, UK in July 1999. The 24 revised full papers presented were carefully reviewed and selected from a total of 46 submissions. The papers present original research results in all aspects of algorithm engineering including implementation, experimental testing, fine-tuning of discrete algorithms, development of repositories of software, methodological issues such as standards for empirical research on algorithms and data structures, and issues in the process of converting user requirements into efficient algorithmic solutions and implementations.