Steiner Trees In Industry

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Steiner Trees in Industry

Author : Xiuzhen Cheng,Ding-Zhu Du
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 47,8 Mb
Release : 2013-12-01
Category : Computers
ISBN : 9781461302551

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Steiner Trees in Industry by Xiuzhen Cheng,Ding-Zhu Du Pdf

This book is a collection of articles studying various Steiner tree prob lems with applications in industries, such as the design of electronic cir cuits, computer networking, telecommunication, and perfect phylogeny. The Steiner tree problem was initiated in the Euclidean plane. Given a set of points in the Euclidean plane, the shortest network interconnect ing the points in the set is called the Steiner minimum tree. The Steiner minimum tree may contain some vertices which are not the given points. Those vertices are called Steiner points while the given points are called terminals. The shortest network for three terminals was first studied by Fermat (1601-1665). Fermat proposed the problem of finding a point to minimize the total distance from it to three terminals in the Euclidean plane. The direct generalization is to find a point to minimize the total distance from it to n terminals, which is still called the Fermat problem today. The Steiner minimum tree problem is an indirect generalization. Schreiber in 1986 found that this generalization (i.e., the Steiner mini mum tree) was first proposed by Gauss.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 55,8 Mb
Release : 2006-08-18
Category : Business & Economics
ISBN : 9780387238302

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Handbook of Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos Pdf

This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

The Steiner Tree Problem

Author : F.K. Hwang,D.S. Richards,P. Winter
Publisher : Elsevier
Page : 336 pages
File Size : 55,5 Mb
Release : 1992-10-20
Category : Computers
ISBN : 0080867936

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The Steiner Tree Problem by F.K. Hwang,D.S. Richards,P. Winter Pdf

The Steiner problem asks for a shortest network which spans a given set of points. Minimum spanning networks have been well-studied when all connections are required to be between the given points. The novelty of the Steiner tree problem is that new auxiliary points can be introduced between the original points so that a spanning network of all the points will be shorter than otherwise possible. These new points are called Steiner points - locating them has proved problematic and research has diverged along many different avenues. This volume is devoted to the assimilation of the rich field of intriguing analyses and the consolidation of the fragments. A section has been given to each of the three major areas of interest which have emerged. The first concerns the Euclidean Steiner Problem, historically the original Steiner tree problem proposed by Jarník and Kössler in 1934. The second deals with the Steiner Problem in Networks, which was propounded independently by Hakimi and Levin and has enjoyed the most prolific research amongst the three areas. The Rectilinear Steiner Problem, introduced by Hanan in 1965, is discussed in the third part. Additionally, a forth section has been included, with chapters discussing areas where the body of results is still emerging. The collaboration of three authors with different styles and outlooks affords individual insights within a cohesive whole.

Algorithmics of Large and Complex Networks

Author : Jürgen Lerner,Dorothea Wagner,Katharina Zweig
Publisher : Springer
Page : 401 pages
File Size : 52,6 Mb
Release : 2009-06-29
Category : Computers
ISBN : 9783642020940

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Algorithmics of Large and Complex Networks by Jürgen Lerner,Dorothea Wagner,Katharina Zweig Pdf

Networks play a central role in today’s society, since many sectors employing information technology, such as communication, mobility, and transport - even social interactions and political activities - are based on and rely on networks. In these times of globalization and the current global financial crisis with its complex and nearly incomprehensible entanglements of various structures and its huge effect on seemingly unrelated institutions and organizations, the need to understand large networks, their complex structures, and the processes governing them is becoming more and more important. This state-of-the-art survey reports on the progress made in selected areas of this important and growing field, thus helping to analyze existing large and complex networks and to design new and more efficient algorithms for solving various problems on these networks since many of them have become so large and complex that classical algorithms are not sufficient anymore. This volume emerged from a research program funded by the German Research Foundation (DFG) consisting of projects focusing on the design of new discrete algorithms for large and complex networks. The 18 papers included in the volume present the results of projects realized within the program and survey related work. They have been grouped into four parts: network algorithms, traffic networks, communication networks, and network analysis and simulation.

Steiner Tree Problems in Computer Communication Networks

Author : Dingzhu Du,Xiaodong Hu
Publisher : World Scientific
Page : 373 pages
File Size : 47,5 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9789812791450

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Steiner Tree Problems in Computer Communication Networks by Dingzhu Du,Xiaodong Hu Pdf

The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice. Sample Chapter(s). Chapter 1: Minimax Approach and Steiner Ratio (372 KB). Contents: Minimax Approach and Steiner Ratio; k -Steiner Ratios and Better Approximation Algorithms; Geometric Partitions and Polynomial Time Approximation Schemes; Grade of Service Steiner Tree Problem; Steiner Tree Problem for Minimal Steiner Points; Bottleneck Steiner Tree Problem; Steiner k -Tree and k -Path Routing Problems; Steiner Tree Coloring Problem; Steiner Tree Scheduling Problem; Survivable Steiner Network Problem. Readership: Researchers and graduate students of computer science and engineering as well as operations research.

Algorithm Theory - SWAT 2002

Author : Martti Penttonen,Erik Meineche Schmidt
Publisher : Springer
Page : 452 pages
File Size : 46,7 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540454717

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Algorithm Theory - SWAT 2002 by Martti Penttonen,Erik Meineche Schmidt Pdf

This book constitutes the refereed proceedings of the 8th Scandinavian Workshop on Algorithm Theory, SWAT 2002, held in Turku, Finland, in July 2002. The 43 revised full papers presented together with two invited contributions were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections on scheduling, computational geometry, graph algorithms, robotics, approximation algorithms, data communication, computational biology, and data storage and manipulation.

Advances in Steiner Trees

Author : Ding-Zhu Du,J.M. Smith,J. Hyam Rubinstein
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 50,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475731712

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Advances in Steiner Trees by Ding-Zhu Du,J.M. Smith,J. Hyam Rubinstein Pdf

The Volume on Advances in Steiner Trees is divided into two sections. The first section of the book includes papers on the general geometric Steiner tree problem in the plane and higher dimensions. The second section of the book includes papers on the Steiner problem on graphs. The general geometric Steiner tree problem assumes that you have a given set of points in some d-dimensional space and you wish to connect the given points with the shortest network possible. The given set ofpoints are 3 Figure 1: Euclidean Steiner Problem in E usually referred to as terminals and the set ofpoints that may be added to reduce the overall length of the network are referred to as Steiner points. What makes the problem difficult is that we do not know a priori the location and cardinality ofthe number ofSteiner points. Thus)the problem on the Euclidean metric is not known to be in NP and has not been shown to be NP-Complete. It is thus a very difficult NP-Hard problem.

Graph Theory for Operations Research and Management: Applications in Industrial Engineering

Author : Farahani, Reza Zanjirani
Publisher : IGI Global
Page : 367 pages
File Size : 51,6 Mb
Release : 2012-12-31
Category : Technology & Engineering
ISBN : 9781466626928

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Graph Theory for Operations Research and Management: Applications in Industrial Engineering by Farahani, Reza Zanjirani Pdf

While typically many approaches have been mainly mathematics focused, graph theory has become a tool used by scientists, researchers, and engineers in using modeling techniques to solve real-world problems. Graph Theory for Operations Research and Management: Applications in Industrial Engineering presents traditional and contemporary applications of graph theory in the areas of industrial engineering, management science, and applied operations research. This comprehensive collection of research introduces the useful basic concepts of graph theory in real world applications.

The Steiner Tree Problem

Author : Hans Jürgen Prömel,Angelika Steger
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783322802910

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The Steiner Tree Problem by Hans Jürgen Prömel,Angelika Steger Pdf

In recent years, algorithmic graph theory has become increasingly important as a link between discrete mathematics and theoretical computer science. This textbook introduces students of mathematics and computer science to the interrelated fields of graphs theory, algorithms and complexity.

Computing and Combinatorics

Author : Oscar H. Ibarra,Louxin Zhang
Publisher : Springer
Page : 614 pages
File Size : 47,9 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540456551

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Computing and Combinatorics by Oscar H. Ibarra,Louxin Zhang Pdf

This book constitutes the refereed proceedings of the 8th Annual International Computing and Combinatorics Conference, COCOON 2002, held in Singapore in August 2002. The 60 revised full papers presented together with three invited contributions were carefully reviewed and selected from 106 submissions. The papers are organized in topical sections on complexity theory, discrete algorithms, computational biology and learning theory, radio networks, automata and formal languages, Internet networks, computational geometry, combinatorial optimization, and quantum computing.

Optimal Interconnection Trees in the Plane

Author : Marcus Brazil,Martin Zachariasen
Publisher : Springer
Page : 344 pages
File Size : 42,6 Mb
Release : 2015-04-13
Category : Mathematics
ISBN : 9783319139159

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Optimal Interconnection Trees in the Plane by Marcus Brazil,Martin Zachariasen Pdf

This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible.

Computational Mathematics Driven by Industrial Problems

Author : R. Burkard,P. Deuflhard,A. Jameson,J.-L. Lions,G. Strang
Publisher : Springer
Page : 420 pages
File Size : 45,5 Mb
Release : 2007-05-06
Category : Computers
ISBN : 9783540449768

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Computational Mathematics Driven by Industrial Problems by R. Burkard,P. Deuflhard,A. Jameson,J.-L. Lions,G. Strang Pdf

These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.

Combinatorial Optimization and Applications

Author : Zhao Zhang,Lidong Wu,Wen Xu,Ding-Zhu Du
Publisher : Springer
Page : 776 pages
File Size : 44,8 Mb
Release : 2014-11-13
Category : Computers
ISBN : 9783319126913

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Combinatorial Optimization and Applications by Zhao Zhang,Lidong Wu,Wen Xu,Ding-Zhu Du Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Combinatorial Optimization and Applications, COCOA 2014, held on the island of Maui, Hawaii, USA, in December 2014. The 56 full papers included in the book were carefully reviewed and selected from 133 submissions. Topics covered include classic combinatorial optimization; geometric optimization; network optimization; optimization in graphs; applied optimization; CSoNet; and complexity, cryptography, and games.

Experimental Algorithms

Author : Carme Àlvarez
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 42,9 Mb
Release : 2006-05-15
Category : Computers
ISBN : 9783540345978

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Experimental Algorithms by Carme Àlvarez Pdf

This book constitutes the refereed proceedings of the 5th International Workshop on Experimental and Efficient Algorithms, WEA 2006, held in Menorca, Spain, May 2006. The book presents 26 revised full papers together with 3 invited talks. The application areas addressed include most fields applying advanced algorithmic techniques, such as combinatorial optimization, approximation, graph theory, discrete mathematics, scheduling, searching, sorting, string matching, coding, networking, and more.

Handbook of Algorithms for Physical Design Automation

Author : Charles J. Alpert,Dinesh P. Mehta,Sachin S. Sapatnekar
Publisher : CRC Press
Page : 1024 pages
File Size : 51,7 Mb
Release : 2008-11-12
Category : Computers
ISBN : 9781420013481

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Handbook of Algorithms for Physical Design Automation by Charles J. Alpert,Dinesh P. Mehta,Sachin S. Sapatnekar Pdf

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