Download or read book Survivable Network Design Problems with High Connectivity Requirement written by Ibrahima Diarrassouba and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network survivability is one of the key issue when designing a network. It has a crucial importance, especially for telecommunication networks, since a very large part of the economical activities uses telecommunication infrastructures. The aim of network engineers is hence to ensure both survivability, by satisfying some connectivity requirements, and quality of service (QoS). In this book, we propose a mathematical analysis of the problem of designing a minimum cost survivable and QoS-constrained network, where a high level of connectivity is required and QoS is guarantied by limiting the number of hop in each traffic path. We present Linear Programming models for the problem in different cases and investigate their polyhedral structure. All along this book, we address both theoretical and algorithmic aspects of the different cases we study, and develop efficient and exact algorithms to solve this network design problem. This book should be useful to practioners in telecommunications and network engineering, and to researchers and students who are interested in studying network design problems.

Download or read book Survivable Network Design Problems with Element and Vertex Connectivity Requirements written by Shweta Jayant Patwa and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Survivale Network Design Problems with High Connectivity Requirement written by Ibrahima Diarrassouba and published by . This book was released on 2009 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse s'inscrit dans le cadre d'une étude polyhédrale des problèmes de conception de réseaux fiables avec forte connexité. En particulier, nous considérons les problèmes dits du sous-graphe k-arête-connexe et de conception de réseau k-arête-connexe avec contrainte de borne lorsque k _>3. Dans un 1er temps, nous étudions le problème du sous-graphe k-arête-connexe. Etant donné un graphe non orienté et valué G = (V, E) et un entier positif k, le problème du sous-graphe k-arête-connexe consiste à déterminer un sous-graphe de G de poids minimum telle qu'il existe k chaînes arête-disjointes entre chaque paire de sommets de V. Nous discutons du polytope associé à ce problème lorsque k _>3. Nous introduisons une nouvelle famille d'inégalités valides pour le polytope et présentons plusieurs familles d'inégalités valides. Pour chaque famille d'inégalités, nous étudions les conditions sous lesquelles ces inégalités définissent des facettes. Nous discutons aussi du problème de séparation associé à chaque famille d'inégalités ainsi que d'opérations de réduction de graphes. En utilisant ces résultats, nous développons un algorithme de coupes et branchements pour le problème et donnons des résultats expérimentaux. Ensuite, nous étudions le problème de conception de réseaux k-arête-connexe avec contrainte de borne. Soient G = (V, E) un graphe valué non orienté, un ensemble de demandes D _C V x V et deux entiers positifs k et L. Le problème de conception de réseaux k-arête-connexe avec contrainte de borne consiste à déterminer un sous-graphe de G de poids minimum telle qu'entre chaque paire de sommets {s, t} E D, il existe k chaînes arête-disjointes de longueur au plus L. Nous étudions ce problème dans le cas où k _>2 et L E {2, 3}. Nous examinons la structure du polytope associé et montrons que, lorsque I D I = 1, ce polytope est complètement décrit par les inégalités dites de st-coupe et de L-chemin-coupe avec les inégalités triviales. Ce résultat généralise ceux de Huygens et al. [75] pour k = 2, L E {2, 3} et Dahl et al. [35] pour k _>2, L = 2. Enfin, nous nous intéressons au problème de conception de réseau k-arête-connexe avec contrainte de borne lorsque k _>2, L E {2, 3} et I D I _> 2. Le problème est NP-difficile dans ce cas. Nous introduisons quatre nouvelles formulations du problème sous la forme de programmes linéaires en nombres entiers. Celles-ci sont basées sur la transformation du graphe G en graphes orientés appropriés. Nous discutons du polytope associé à chaque formulation et introduisons plusieurs familles d'inégalités valides. Pour chacune d'elles, nous décrivons des conditions pour que ces inégalités définissent des facettes. En utilisant ces résultats, nous développons des algorithmes de coupes et branchements et de coupes, génération de colonnes et branchements pour le problème. Nous donnons des résultats expérimentaux et menons une étude comparative entre les différentes formulations.

Download or read book Design of Survivable Networks written by Mechthild Stoer and published by Springer. This book was released on 2006-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated.

Download or read book The Survivable Network Design Problems with High Node Connectivity Constraints written by Meriem Mahjoub and published by . This book was released on 2017 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a weighted undirected graph and an integer k, the k-node-connected subgraph problem is to find a minimum weight subgraph which contains k-node-disjoint paths between every pair of nodes. We introduce new classes of valid inequalities and discuss their facial aspect. We also devise separation routines, investigate the structural properties of the linear relaxation and discuss some reduction operations that can be used in a preprocessing phase for the separation. Using these results, we devise a Branch-and-Cut algorithm and present some computational results. Then we present a new extended formulation for the the k-node-connected subgraph problem, along with a Branch-and-Cut-and-Price algorithm for solving the problem.Next, we investigate the hop-constrained version of the problem. The k node-disjoint hop-constrained network design problem is to find a minimum weight subgraph such that between every origin and destination there exist at least k node-disjoint paths of length at most L. We propose an integer linear programming formulation for L=2,3 and investigate the associated polytope. We introduce valid inequalities and devise separation algorithms. Then, we propose a B\&C algorithm for solving the problem along with some computational results.

Download or read book Design of Survivable Networks with Bounded Rings written by B. Fortz and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days, the nature of services and the volume of demand in the telecommu nication industry is changing radically, with the replacement of analog transmis sion and traditional copper cables by digital technology and fiber optic transmis sion equipment. Moreover, we see an increasing competition among providers of telecommunication services, and the development of a broad range of new services for users, combining voice, data, graphics and video. Telecommunication network planning has thus become an important problem area for developing and applying optimization models. Telephone companies have initiated extensive modeling and planning efforts to expand and upgrade their transmission facilities, which are, for most national telecommunication networks, divided in three main levels (see Balakrishnan et al. [5]), namely, l. the long-distance or backbone network that typically connects city pairs through gateway nodes; 2. the inter-office or switching center network within each city, that interconnects switching centers in different subdivisions (clusters of customers) and provides access to the gateway(s) node(s); 1 2 DESIGN OF SURVNABLE NETWORKS WITH BOUNDED RINGS 3. the local access network that connects individual subscribers belonging to a cluster to the corresponding switching center. These three levels differ in several ways including their design criteria. Ideally, the design of a telecommunication network should simultaneously account for these three levels. However, to simplify the planning task, the overall planning problem is decomposed by considering each level separately.

Download or read book Optimization Algorithms for Survivable Network Design Problems written by Eli Victor Olinick and published by . This book was released on 1999 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximation and Online Algorithms written by Klaus Jansen and published by Springer. This book was released on 2011-01-24 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post workshop proceedings of the 8th International Workshop on Approximation and Online Algorithms, WAOA 2010, held in Liverpool, UK, in September 2010 as part of the ALGO 2010 conference event. The 23 revised full papers presented were carefully reviewed and selected from 58 submissions. The workshop covered areas such as algorithmic game theory, approximation classes, coloring and partitioning, competitive analysis, computational finance, cuts and connectivity, geometric problems, inapproximability results, echanism design, network design, packing and covering, paradigms for design and analysis of approximation and online algorithms, parameterized complexity, randomization techniques, real-world applications, and scheduling problems.

Download or read book Design of Modern Communication Networks written by Christofer Larsson and published by Academic Press. This book was released on 2014-03-05 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of Modern Communication Networks focuses on methods and algorithms related to the design of communication networks, using optimization, graph theory, probability theory and simulation techniques. The book discusses the nature and complexity of the network design process, then introduces theoretical concepts, problems and solutions. It demonstrates the design of network topology and traditional loss networks, followed by uncontrolled packet networks, flow-controlled networks, and multiservice networks. Access network design is reviewed, and the book concludes by considering the design of survivable (reliable) networks and various reliability concepts. A toolbox of algorithms: The book provides practical advice on implementing algorithms, including the programming aspects of combinatorial algorithms. Extensive solved problems and illustrations: Wherever possible, different solution methods are applied to the same examples to compare performance and verify precision and applicability. Technology-independent: Solutions are applicable to a wide range of network design problems without relying on particular technologies.

Download or read book Formulations and Algorithms for Network Design Problems with Connectivity Requirements written by S. Raghavan and published by . This book was released on 1995 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Combinatorial Optimization written by Bernhard Korte and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

Download or read book Reliability Survivability and Quality of Large Scale Telecommunication Systems written by Peter Stavroulakis and published by John Wiley & Sons. This book was released on 2003-09-11 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Competition within the telecommunications companies is growing fiercer by the day. Therefore, it is vital to ensure a high level of quality and reliability within all telecommunications systems in order to guard against faults and the failure of components and network services. Within large scale systems such quality and reliability problems are ever higher. The metrics of Quality and Reliability have to date only been available in journals and technical reports of companies which have designed or produced major parts of systems used in large applications. This book provides a self-contained treatment enabling the reader to be able to produce, define and utilise the metrics of Quality and Reliability required for the design and implementation of a large application such as a world class event as the Olympic Games. An additional outcome is that this book can be used as a guide for producing an ISO standard for large scale Systems such as the Olympic Games. * Provides presentations of techniques used for solving quality and reliability problems in telecommunications networks replete with illustrations of their applications to real-world services and world class events * Individual chapters written by respective international experts within their fields This will prove highly informative for Practising engineers, researchers and telecommunications professionals, academics and graduate students in telecommunications, standards bodies and organisations such as ISO.

Download or read book Network Design with Applications to Transportation and Logistics written by Teodor Gabriel Crainic and published by Springer Nature. This book was released on 2021-07-16 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the methodological and application developments of network design in transportation and logistics. It identifies trends, challenges and research perspectives in network design for these areas. Network design is a major class of problems in operations research where network flow, combinatorial and mixed integer optimization meet. The analysis and planning of transportation and logistics systems continues to be one of the most important application areas of operations research. Networks provide the natural way of depicting such systems, so the optimal design and operation of networks is the main methodological area of operations research that is used for the analysis and planning of these systems. This book defines the current state of the art in the general area of network design, and then turns to its applications to transportation and logistics. New research challenges are addressed. Network Design with Applications to Transportation and Logistics is divided into three parts. Part I examines basic design problems including fixed-cost network design and parallel algorithms. After addressing the basics, Part II focuses on more advanced models. Chapters cover topics such as multi-facility network design, flow-constrained network design, and robust network design. Finally Part III is dedicated entirely to the potential application areas for network design. These areas range from rail networks, to city logistics, to energy transport. All of the chapters are written by leading researchers in the field, which should appeal to analysts and planners.

Download or read book Structural Information and Communication Complexity written by Christian Scheideler and published by Springer. This book was released on 2015-10-19 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 22nd International Colloquium on Structural Information and Communication Complexity, SIROCCO 2015, held in Montserrat, Spain, in July 2015. The 30 full papers presented together with 2 invited papers were carefully reviewed and selected from 78 submissions. The papers focus on the study of the interplay between communication and knowledge in multi-processor systems from both the qualitative and quantitative viewpoints.

Download or read book Iterative Methods in Combinatorial Optimization written by Lap Chi Lau and published by Cambridge University Press. This book was released on 2011-04-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

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 Strong Formulations for Network Design Problems with Connectivity Requirements written by Thomas L. Magnanti and published by . This book was released on 1999 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: