Download or read book Network Flow Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2019-09-05 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.
Download or read book MULTICOMMODITY NETWORK FLOWS written by B. Rothschild and published by . This book was released on 1969 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this article is to survey the current literature on multicommodity network flows. The study of multicommodity flows is concerned with generalizing the results which are known for single commodity flows in networks. These results fall into three broad categories: optimization, computation and structure. The optimization category includes the question of maximizing flow or minimizing cost in a network. The computation question involves finding algorithms for efficiently computing flows. And the structural results relate the flows to structural properties of the network (e.g., the Max-flow Min-cut Theorem). Because of the added complexity of having many commodities, the results for multicommodity flows sometimes require methods different from those used for analogous single commodity results. As in the one-commodity case, the question of finding a maximal multicommodity flow can be stated as a linear programming problem. In general for n-commodity flow there is the question of feasibility. That is, not only do we wish to know how much flow can be achieved, but more specifically how much of each kind of commodity. (Author).
Download or read book Network Flows Pearson New International Edition written by Ravindra K. Ahuja and published by . This book was released on 2013-11-01 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the classic and the contemporary aspects of the field, this comprehensive introduction to network flows provides an integrative view of theory, algorithms, and applications. It offers in-depth and self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including a description of new and novel polynomial-time algorithms for these core models. For professionals working with network flows, optimization, and network programming.
Download or read book Integer Programming and Combinatorial Optimization written by William J. Cook and published by Springer. This book was released on 2003-08-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers selected for presentation at IPCO 2002, the NinthInternationalConferenceonIntegerProgrammingandCombinatorial- timization, Cambridge, MA (USA), May 27–29, 2002. The IPCO series of c- ferences highlights recent developments in theory, computation, and application of integer programming and combinatorial optimization. IPCO was established in 1988 when the ?rst IPCO program committee was formed. IPCO is held every year in which no International Symposium on Ma- ematical Programming (ISMP) takes places. The ISMP is triennial, so IPCO conferences are held twice in every three-year period. The eight previous IPCO conferences were held in Waterloo (Canada) 1990, Pittsburgh (USA) 1992, Erice (Italy) 1993, Copenhagen (Denmark) 1995, Vancouver (Canada) 1996, Houston (USA) 1998, Graz (Austria) 1999, and Utrecht (The Netherlands) 2001. In response to the call for papers for IPCO 2002, the program committee received 110 submissions, a record number for IPCO. The program committee met on January 7 and 8, 2002, in Aussois (France), and selected 33 papers for inclusion in the scienti?c program of IPCO 2002. The selection was based on originality and quality, and re?ects many of the current directions in integer programming and combinatorial optimization research.
Download or read book Network Optimization written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network optimization is important in the modeling of problems and processes from such fields as engineering, computer science, operations research, transportation, telecommunication, decision support systems, manufacturing, and airline scheduling. Recent advances in data structures, computer technology, and algorithm development have made it possible to solve classes of network optimization problems that until recently were intractable. The refereed papers in this volume reflect the interdisciplinary efforts of a large group of scientists from academia and industry to model and solve complicated large-scale network optimization problems.
Download or read book Linear Programming and Network Flows written by Mokhtar S. Bazaraa and published by . This book was released on 1990 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Download or read book Routing Flow and Capacity Design in Communication and Computer Networks written by Michal Pioro and published by Elsevier. This book was released on 2004-07-21 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: In network design, the gap between theory and practice is woefully broad. This book narrows it, comprehensively and critically examining current network design models and methods. You will learn where mathematical modeling and algorithmic optimization have been under-utilized. At the opposite extreme, you will learn where they tend to fail to contribute to the twin goals of network efficiency and cost-savings. Most of all, you will learn precisely how to tailor theoretical models to make them as useful as possible in practice.Throughout, the authors focus on the traffic demands encountered in the real world of network design. Their generic approach, however, allows problem formulations and solutions to be applied across the board to virtually any type of backbone communication or computer network. For beginners, this book is an excellent introduction. For seasoned professionals, it provides immediate solutions and a strong foundation for further advances in the use of mathematical modeling for network design. - Written by leading researchers with a combined 40 years of industrial and academic network design experience. - Considers the development of design models for different technologies, including TCP/IP, IDN, MPLS, ATM, SONET/SDH, and WDM. - Discusses recent topics such as shortest path routing and fair bandwidth assignment in IP/MPLS networks. - Addresses proper multi-layer modeling across network layers using different technologies—for example, IP over ATM over SONET, IP over WDM, and IDN over SONET. - Covers restoration-oriented design methods that allow recovery from failures of large-capacity transport links and transit nodes. - Presents, at the end of each chapter, exercises useful to both students and practitioners.
Download or read book Network Flows and Monotropic Optimization written by R. Tyrell Rockafellar and published by Athena Scientific. This book was released on 1999-06-01 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and comprehensive treatment of network flow theory and monotropic optimization by one of the world's most renowned applied mathematicians. This classic textbook covers extensively the duality theory and the algorithms of linear and nonlinear network optimization optimization, and their significant extensions to monotropic programming (separable convex constrained optimization problems, including linear programs). It complements our other book on the subject of network optimization Network Optimization: Continuous and Discrete Models (Athena Scientific, 1998). Monotropic programming problems are characterized by a rich interplay between combinatorial structure and convexity properties. Rockafellar develops, for the first time, algorithms and a remarkably complete duality theory for these problems. Among its special features the book: (a) Treats in-depth the duality theory for linear and nonlinear network optimization (b) Uses a rigorous step-by-step approach to develop the principal network optimization algorithms (c) Covers the main algorithms for specialized network problems, such as max-flow, feasibility, assignment, and shortest path (d) Develops in detail the theory of monotropic programming, based on the author's highly acclaimed research (e) Contains many examples, illustrations, and exercises (f) Contains much new material not found in any other textbook
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Download or read book Algorithmic Aspects of Cloud Computing written by Yann Disser and published by Springer. This book was released on 2019-04-27 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing, ALGOCLOUD 2018, held in Helsinki, Finland, in August 2018. The 11 revised full papers were carefully reviewed and selected from 29 submissions. The aim of the symposium is to present research activities and results on topics related to algorithmic, design, and development aspects of modern cloud-based systems.
Download or read book Multiattribute Multicommodity Flows in Transportation Networks written by Douglas Allen Popken and published by . This book was released on 1988 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Previously developed minimum cost multicommodity network flow models do not simultaneously consider the weights, volumes, and inventory holding costs of the commodities. ignoring one or more of these attributes may prevent detection of potential savings; however, simultaneously accounting for all three attributes leads to a problem considerably more difficult to solve. This thesis examines a multiattribute multicommodity flow formulation of a transportation network with transshipment terminals, which seeks to minimize total vehicle and inventory related costs. First, a decomposition strategy transforms the model formulation, P, into an equivalent formulation, P'. In P', the vehicle flow variables may be found as function of the commodity flow variables; furthermore, the vehicle capacity constraints need not be explicitly considered. The decomposition, however, creates a situation whereby a commodity's incremental cost function on a given arc may contain concave and/or convex portions. This feature implies the presence of numerous local optima, over which an exhaustive search for a global optimum is computationally infeasible. Computational results from a series of test problems measure solution quality and algorithm efficiency. (SDW).
Download or read book Modeling and Analysis of Multicommodity Network Flows Via Goal Programming written by Matthew A. Scott and published by . This book was released on 2002-03-01 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work goal programming is used to solve a minimum cost multicommodity network flow problem with multiple goals. A single telecommunication network with multiple commodities (e.g., voice, video, data, etc.) flowing over it is analyzed. This network consists of: linear objective function, linear cost arcs, fixed capacities, specific origin-destination pairs for each commodity. A multicommodity network flow problem with goals can be successfully modeled using linear goal programming techniques. When properly modeled, network flow techniques may be employed to exploit the pure network structure of a multicommodity network flow problem with goals. Lagrangian relaxation captures the essence of the pure network flow problem as a master problem and sub-problems (McGinnis and Rao, 1977). A subgradient algorithm may optimize the Lagrangian function, or the Lagrangian relaxation could be decomposed into subproblems per commodity; each subproblem being a single commodity network flow problem. Parallel to the decomposition of the Lagrangian relaxation, Dantzig-Wolfe decomposition may be implemented to the linear program. Post-optimality analyses provide a variety of options to analyze the robustness of the optimal solution. The options of post-optimality analysis consist of sensitivity analysis and parametric analysis. This mix of modeling options and analyses provide a powerful method to produce insight into the modeling of a multicommodity network flow problem with multiple objectives.
Download or read book Network Flows written by Ravindra K. Ahuja and published by Pearson. This book was released on 1993 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the classic and the contemporary aspects of the field, this comprehensive introduction to network flows provides an integrative view of theory, algorithms, and applications.It offers in-depth and self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including a description of new and novel polynomial-time algorithms for these core models.For professionals working with network flows, optimization, and network programming.
Download or read book Multicommodity Network Flows written by Arjang Assad and published by . This book was released on 1976 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multicommodity Supply and Transportation Networks with Resource Constraints written by Richard D. Wollmer and published by . This book was released on 1970 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper presents a method for treating multicommodity network flows in which limited resources are shared among several arcs instead of only one. The study extends the previous solution methds for networks with individual arc capacity constraints to cover joint constraints. This formulation can handle one or more joint capacity constraints in a multicommodity network; with some adjustment in the objective function, it can maximize a linear combination of commodity flows and find a feasible routing to meet flow requirements.
Download or read book Minimum cost multi commodity network flows written by and published by . This book was released on 1969 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Network Flow Programming written by Paul A. Jensen and published by John Wiley & Sons. This book was released on 1980-07-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow models. Modeling applications of network programming. Formalization of network models. Network manipulation algorithms. The shortest path problem. The maximum flow problem. Pure minimum cost flow problems. The out-of-kilter algorithm. Network manipulation algorithms for the generalized network. Generalized minimum cost flow problems. The convex minimum cost flow problem. Concave costs. References. Index.
