Multi Commodity Network Flows
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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 : 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).
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.
Multi Commodity Network Flows
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Author : T. C. Hu
language : en
Publisher:
Release Date : 1963
Multi Commodity Network Flows written by T. C. Hu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Multi Commodity Network Flows With Multiple Sources And Sinks
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Author : B. Rothschild
language : en
Publisher:
Release Date : 1967
Multi Commodity Network Flows With Multiple Sources And Sinks 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 1967 with Algorithms categories.
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.
A Suggested Computation For Maximal Multi Commodity Network Flows
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Author : L. R Ford (Jr)
language : en
Publisher:
Release Date : 1958
A Suggested Computation For Maximal Multi Commodity Network Flows written by L. R Ford (Jr) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
A simplex computation for an arc-chain formulation of the maximal multi-commodity network flow problem is proposed. Since the number of variables in this formulation is too large to be dealt with explicitly, the computation treats non-basic variables implicitly by replacing the usual method of determining a vector to enter the basis with several applications of a combinatorial algorithm for finding a shortest chain joining a pair of points in a network. (Author).
Min Cost Multicommodity Network Flows A Linear Case For The Convergence And Reoptimization Of Multiple Single Commodity Network Flows
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Author :
language : en
Publisher:
Release Date : 2004
Min Cost Multicommodity Network Flows A Linear Case For The Convergence And Reoptimization Of Multiple Single 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 2004 with categories.
Network Flow problems are prevalent in Operations Research, Computer Science, Industrial Engineering and Management Science. They constitute a class of problems that are frequently faced by real world applications, including transportation, telecommunications, production planning, etc. While many problems can be modeled as Network Flows, these problems can quickly become unwieldy in size and difficult to solve. One particularly large instance is the Min-Cost Multicommodity Network Flow problem. Due to the time-sensitive nature of the industry, faster algorithms are always desired: recent advances in decomposition methods may provide a remedy. One area of improvement is the cost reoptimization of the min-cost single commodity network flow subproblems that arise from the decomposition. Since similar single commodity network flow problems are solved, information from the previous solution provides a "warm-start" of the current solution. While certain single commodity network flow algorithms may be faster "from scratch," the goal is to reduce the overall time of computation. Reoptimization is the key to this endeavor. Three single commodity network flow algorithms, namely, cost scaling, network simplex and relaxation, will be examined. They are known to reoptimize well. The overall goal is to analyze the effectiveness of this approach within one particular class of network problems.
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 : 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.