Shortest Path Network Problems
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Author |
: Jin Y. Yen |
Publisher |
: |
Total Pages |
: 184 |
Release |
: 1975 |
ISBN-10 |
: UCAL:B4261078 |
ISBN-13 |
: |
Rating |
: 4/5 (78 Downloads) |
Synopsis Shortest Path Network Problems by : Jin Y. Yen
Author |
: John Baras |
Publisher |
: Morgan & Claypool Publishers |
Total Pages |
: 77 |
Release |
: 2010-04-04 |
ISBN-10 |
: 9781598299243 |
ISBN-13 |
: 1598299247 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Path Problems in Networks by : John Baras
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 |
: Andrew Adamatzky |
Publisher |
: Springer |
Total Pages |
: 442 |
Release |
: 2018-04-26 |
ISBN-10 |
: 9783319775104 |
ISBN-13 |
: 3319775103 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Shortest Path Solvers. From Software to Wetware by : Andrew Adamatzky
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.
Author |
: Mark Ziegelmann |
Publisher |
: VDM Publishing |
Total Pages |
: 76 |
Release |
: 2007-12-01 |
ISBN-10 |
: 3836446332 |
ISBN-13 |
: 9783836446334 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Constrained Shortest Paths and Related Problems by : Mark Ziegelmann
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 |
: Camil Demetrescu |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 337 |
Release |
: |
ISBN-10 |
: 9780821885864 |
ISBN-13 |
: 0821885863 |
Rating |
: 4/5 (64 Downloads) |
Synopsis The Shortest Path Problem by : Camil Demetrescu
Author |
: Ding-zhu Du |
Publisher |
: World Scientific |
Total Pages |
: 417 |
Release |
: 1993-04-27 |
ISBN-10 |
: 9789814504584 |
ISBN-13 |
: 9814504580 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Network Optimization Problems: Algorithms, Applications And Complexity by : Ding-zhu Du
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 |
: Julia Pahl |
Publisher |
: Springer |
Total Pages |
: 684 |
Release |
: 2011-09-15 |
ISBN-10 |
: 9783642215278 |
ISBN-13 |
: 3642215270 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Network Optimization by : Julia Pahl
This book constitutes the refereed proceedings of the 5th International Conference on Network Optimization, INOC 2011, held in Hamburg, Germany, in June 2011. The 65 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers highlight recent developments in network optimization and are organized in the following topical sections: theoretical problems, uncertainty, graph theory and network design; network flows; routing and transportation; and further optimization problems and applications (energy oriented network design, telecom applications, location, maritime shipping, and graph theory).
Author |
: Hector Ortega-Arranz |
Publisher |
: Springer Nature |
Total Pages |
: 71 |
Release |
: 2022-05-31 |
ISBN-10 |
: 9783031025747 |
ISBN-13 |
: 3031025741 |
Rating |
: 4/5 (47 Downloads) |
Synopsis The Shortest-Path Problem by : Hector Ortega-Arranz
Many applications in different domains need to calculate the shortest-path between two points in a graph. In this paper we describe this shortest path problem in detail, starting with the classic Dijkstra's algorithm and moving to more advanced solutions that are currently applied to road network routing, including the use of heuristics and precomputation techniques. Since several of these improvements involve subtle changes to the search space, it may be difficult to appreciate their benefits in terms of time or space requirements. To make methods more comprehensive and to facilitate their comparison, this book presents a single case study that serves as a common benchmark. The paper also compares the search spaces explored by the methods described, both from a quantitative and qualitative point of view, and including an analysis of the number of reached and settled nodes by different methods for a particular topology. Table of Contents: List of Figures / List of Tables / Acknowledgments / Introduction / Graph Theory Basics / Classical Algorithms / Hierarchical Preprocessing-Dependent Approaches / Non-Hierarchical Preprocessing-Dependent Approaches / Analysis and Comparison of Approaches / Conclusions / Bibliography / Authors' Biographies
Author |
: Mauricio G.C. Resende |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 1120 |
Release |
: 2008-12-10 |
ISBN-10 |
: 9780387301655 |
ISBN-13 |
: 0387301658 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Handbook of Optimization in Telecommunications by : Mauricio G.C. Resende
This comprehensive handbook brings together experts who use optimization to solve problems that arise in telecommunications. It is the first book to cover in detail the field of optimization in telecommunications. Recent optimization developments that are frequently applied to telecommunications are covered. The spectrum of topics covered includes planning and design of telecommunication networks, routing, network protection, grooming, restoration, wireless communications, network location and assignment problems, Internet protocol, World Wide Web, and stochastic issues in telecommunications. The book’s objective is to provide a reference tool for the increasing number of scientists and engineers in telecommunications who depend upon optimization.
Author |
: Guy Desaulniers |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 369 |
Release |
: 2006-03-20 |
ISBN-10 |
: 9780387254869 |
ISBN-13 |
: 0387254862 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Column Generation by : Guy Desaulniers
Column Generation is an insightful overview of the state of the art in integer programming column generation and its many applications. The volume begins with "A Primer in Column Generation" which outlines the theory and ideas necessary to solve large-scale practical problems, illustrated with a variety of examples. Other chapters follow this introduction on "Shortest Path Problems with Resource Constraints," "Vehicle Routing Problem with Time Window," "Branch-and-Price Heuristics," "Cutting Stock Problems," each dealing with methodological aspects of the field. Three chapters deal with transportation applications: "Large-scale Models in the Airline Industry," "Robust Inventory Ship Routing by Column Generation," and "Ship Scheduling with Recurring Visits and Visit Separation Requirements." Production is the focus of another three chapters: "Combining Column Generation and Lagrangian Relaxation," "Dantzig-Wolfe Decomposition for Job Shop Scheduling," and "Applying Column Generation to Machine Scheduling." The final chapter by François Vanderbeck, "Implementing Mixed Integer Column Generation," reviews how to set-up the Dantzig-Wolfe reformulation, adapt standard MIP techniques to the column generation context (branching, preprocessing, primal heuristics), and deal with specific column generation issues (initialization, stabilization, column management strategies).