Multicommodity Network Flows
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Multicommodity Network Flows
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Author : B. Rothschild
language : en
Publisher:
Release Date : 1969
Multicommodity Network Flows written by B. Rothschild and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
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).
Modeling And Analysis Of Multicommodity Network Flows Via Goal Programming
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Author : Matthew A. Scott
language : en
Publisher:
Release Date : 2002-03-01
Modeling And Analysis Of Multicommodity Network Flows Via Goal Programming written by Matthew A. Scott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-01 with Commodity control categories.
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.
Multicommodity Network Flows
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Author : Jeff L. Kennington
language : en
Publisher:
Release Date : 1974
Multicommodity Network Flows written by Jeff L. Kennington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Multi Stage Multi Commodity Network Flows
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Author : William Torrillo Torres
language : en
Publisher:
Release Date : 1971
Multi Stage Multi Commodity Network Flows written by William Torrillo Torres and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Multicommodity Network Flows
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Author : Arjang Assad
language : en
Publisher:
Release Date : 1976
Multicommodity Network Flows written by Arjang Assad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Network Flows
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Author : Ravindra K. Ahuja
language : en
Publisher: Pearson
Release Date : 1993
Network Flows written by Ravindra K. Ahuja and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Business & Economics categories.
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.
Multicommodity Network Flows
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Author : Kimberly Lynn Ross
language : en
Publisher:
Release Date : 1993
Multicommodity Network Flows written by Kimberly Lynn Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Minimum Cost Multi Commodity Network Flows
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Author :
language : en
Publisher:
Release Date : 1969
Minimum Cost Multi Commodity Network Flows written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Multicommodity Supply And Transportation Networks With Resource Constraints
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Author : Richard D. Wollmer
language : en
Publisher:
Release Date : 1970
Multicommodity Supply And Transportation Networks With Resource Constraints written by Richard D. Wollmer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Freight and freightage categories.
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.
Network Flow Algorithms
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Author : David P. Williamson
language : en
Publisher: Cambridge University Press
Release Date : 2019-09-05
Network Flow Algorithms written by David P. Williamson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-05 with Computers categories.
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.