Probability Theory Of Classical Euclidean Optimization Problems PDF Download
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Author | : Joseph E. Yukich |
Publisher | : Springer |
Total Pages | : 162 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 354069627X |
Download Probability Theory of Classical Euclidean Optimization Problems Book in PDF, ePub and Kindle
This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.
Author | : J. Michael Steele |
Publisher | : SIAM |
Total Pages | : 164 |
Release | : 1997-01-01 |
Genre | : Mathematics |
ISBN | : 0898713803 |
Download Probability Theory and Combinatorial Optimization Book in PDF, ePub and Kindle
An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.
Author | : Louisa A. May |
Publisher | : |
Total Pages | : 392 |
Release | : 2012-09 |
Genre | : Combinatorial optimization |
ISBN | : 9781781540923 |
Download Handbook of Combinatorial Optimization and Probability Theory Book in PDF, ePub and Kindle
This handbook provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization, with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings. There are several nongeometric optimization problems that receive full treatment, and these include the problems of the longest common subsequence and the longest increasing subsequence.
Author | : Gabriele Sicuro |
Publisher | : Springer |
Total Pages | : 136 |
Release | : 2016-10-24 |
Genre | : Science |
ISBN | : 3319465775 |
Download The Euclidean Matching Problem Book in PDF, ePub and Kindle
This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.
Author | : R. Ramanujam |
Publisher | : Springer Science & Business Media |
Total Pages | : 580 |
Release | : 2005-12-07 |
Genre | : Computers |
ISBN | : 3540304959 |
Download FSTTCS 2005: Foundations of Software Technology and Theoretical Computer Science Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the 25th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2005, held in Hyderabad, India, in December 2005. The 38 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 167 submissions. A broad variety of current topics from the theory of computing are addressed, ranging from software science, programming theory, systems design and analysis, formal methods, mathematical logic, mathematical foundations, discrete mathematics, combinatorial mathematics, complexity theory, and automata theory to theoretical computer science in general.
Author | : Harry Kesten |
Publisher | : Springer Science & Business Media |
Total Pages | : 358 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662094444 |
Download Probability on Discrete Structures Book in PDF, ePub and Kindle
Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.
Author | : Steven R. Finch |
Publisher | : Cambridge University Press |
Total Pages | : 634 |
Release | : 2003-08-18 |
Genre | : Mathematics |
ISBN | : 9780521818056 |
Download Mathematical Constants Book in PDF, ePub and Kindle
Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author | : G. Gutin |
Publisher | : Springer Science & Business Media |
Total Pages | : 837 |
Release | : 2006-05-02 |
Genre | : Computers |
ISBN | : 0306482134 |
Download The Traveling Salesman Problem and Its Variations Book in PDF, ePub and Kindle
A brilliant treatment of a knotty problem in computing. This volume contains chapters written by reputable researchers and provides the state of the art in theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, branch and bound, and branch and cut algorithms, probabilistic aspects of TSP, and includes a thorough computational analysis of heuristic and metaheuristic algorithms.
Author | : Andrea Braides |
Publisher | : Springer Science & Business Media |
Total Pages | : 176 |
Release | : 1998-09-17 |
Genre | : Mathematics |
ISBN | : 9783540647713 |
Download Approximation of Free-Discontinuity Problems Book in PDF, ePub and Kindle
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.
Author | : Damir Filipovic |
Publisher | : Springer Science & Business Media |
Total Pages | : 148 |
Release | : 2001-03-27 |
Genre | : Mathematics |
ISBN | : 9783540414933 |
Download Consistency Problems for Heath-Jarrow-Morton Interest Rate Models Book in PDF, ePub and Kindle
Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.