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Author : Jin Y. Yen
Release : 1975
Genre : Network analysis (Planning)
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Shortest Path Network Problems by : Jin Y. Yen
Download or read book Shortest Path Network Problems written by Jin Y. Yen. This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Baras
Release : 2010-04-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 247/5 ( reviews)
Book Synopsis Path Problems in Networks by : John Baras
Download or read book Path Problems in Networks written by John Baras. This book was released on 2010-04-04. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic path problem is a generalization of the shortest path problem in graphs. Various instances of this abstract problem have appeared in the literature, and similar solutions have been independently discovered and rediscovered. The repeated appearance of a problem is evidence of its relevance. This book aims to help current and future researchers add this powerful tool to their arsenal, so that they can easily identify and use it in their own work. Path problems in networks can be conceptually divided into two parts: A distillation of the extensive theory behind the algebraic path problem, and an exposition of a broad range of applications. First of all, the shortest path problem is presented so as to fix terminology and concepts: existence and uniqueness of solutions, robustness to parameter changes, and centralized and distributed computation algorithms. Then, these concepts are generalized to the algebraic context of semirings. Methods for creating new semirings, useful for modeling new problems, are provided. A large part of the book is then devoted to numerous applications of the algebraic path problem, ranging from mobile network routing to BGP routing to social networks. These applications show what kind of problems can be modeled as algebraic path problems; they also serve as examples on how to go about modeling new problems. This monograph will be useful to network researchers, engineers, and graduate students. It can be used either as an introduction to the topic, or as a quick reference to the theoretical facts, algorithms, and application examples. The theoretical background assumed for the reader is that of a graduate or advanced undergraduate student in computer science or engineering. Some familiarity with algebra and algorithms is helpful, but not necessary. Algebra, in particular, is used as a convenient and concise language to describe problems that are essentially combinatorial. Table of Contents: Classical Shortest Path / The Algebraic Path Problem / Properties and Computation of Solutions / Applications / Related Areas / List of Semirings and Applications
Author : Mark Ziegelmann
Release : 2007-12-01
Genre : Computers
Kind : eBook
Book Rating : 334/5 ( reviews)
Book Synopsis Constrained Shortest Paths and Related Problems by : Mark Ziegelmann
Download or read book Constrained Shortest Paths and Related Problems written by Mark Ziegelmann. This book was released on 2007-12-01. Available in PDF, EPUB and Kindle. Book excerpt: The shortest path problem arises in various applied settings where some material (e.g., computer data packet, telephone calls, vehicles) is sent between two specified points in a network as quickly, cheaply or reliably as possible. In practice we want to optimize a combination of those criteria (i.e., we have a bi- or multicriteria shortest path problem). This book proposes a 2-step method for the constrained shortest path problem. A relaxation is solved to get upper and lower bounds and then the gap is closed with clever path ranking to obtain the exact solution. Different old and new methods are compared both theoretically and experimentally. The proposed 2-step method also works for a more general class of constrained network optimization problems. In addition the generic approach is illustrated with several examples and a newly developed Constrained Network Optimization Software Package (CNOP) is introduced that provides this generic 2-step approach as well as all state of the art algorithms for constrained shortest paths. This book is a valuable resource for researchers, students as well as practitioners working on the constrained shortest path problem and related problems.
Author : Ding-zhu Du
Release : 1993-04-27
Genre :
Kind : eBook
Book Rating : 580/5 ( reviews)
Book Synopsis Network Optimization Problems: Algorithms, Applications And Complexity by : Ding-zhu Du
Download or read book Network Optimization Problems: Algorithms, Applications And Complexity written by Ding-zhu Du. This book was released on 1993-04-27. Available in PDF, EPUB and Kindle. Book excerpt: In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a
Author : Andrew Adamatzky
Release : 2018-04-26
Genre : Technology & Engineering
Kind : eBook
Book Rating : 103/5 ( reviews)
Book Synopsis Shortest Path Solvers. From Software to Wetware by : Andrew Adamatzky
Download or read book Shortest Path Solvers. From Software to Wetware written by Andrew Adamatzky. This book was released on 2018-04-26. Available in PDF, EPUB and Kindle. Book excerpt: This book offers advanced parallel and distributed algorithms and experimental laboratory prototypes of unconventional shortest path solvers. In addition, it presents novel and unique algorithms of solving shortest problems in massively parallel cellular automaton machines. The shortest path problem is a fundamental and classical problem in graph theory and computer science and is frequently applied in the contexts of transport and logistics, telecommunication networks, virtual reality and gaming, geometry, and social networks analysis. Software implementations include distance-vector algorithms for distributed path computation in dynamics networks, parallel solutions of the constrained shortest path problem, and application of the shortest path solutions in gathering robotic swarms. Massively parallel algorithms utilise cellular automata, where a shortest path is computed either via matrix multiplication in automaton arrays, or via the representation of data graphs in automaton lattices and using the propagation of wave-like patterns. Unconventional shortest path solvers are presented in computer models of foraging behaviour and protoplasmic network optimisation by the slime mould Physarum polycephalum and fluidic devices, while experimental laboratory prototypes of path solvers using chemical media, flows and droplets, and electrical current are also highlighted. The book will be a pleasure to explore for readers from all walks of life, from undergraduate students to university professors, from mathematicians, computers scientists and engineers to chemists and biologists.
