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Author: Irtiz̤á Karīm Publisher: ISBN: Category : Economics, Mathematical Languages : en Pages : 14
Book Description
The paper considers the problem of feasibility of integer flows in a two commodity network with integral capacities. The main result of the paper is conditions under which, for two nonnegative integers a and b, there exists a two commodity flow, where the flow of the first commodity is of size a and the second flow of size b. If such numbers are realizable as flow values, then an algorithm is indicated for finding the actual paths in the network. (Author).
Author: Irtiz̤á Karīm Publisher: ISBN: Category : Economics, Mathematical Languages : en Pages : 14
Book Description
The paper considers the problem of feasibility of integer flows in a two commodity network with integral capacities. The main result of the paper is conditions under which, for two nonnegative integers a and b, there exists a two commodity flow, where the flow of the first commodity is of size a and the second flow of size b. If such numbers are realizable as flow values, then an algorithm is indicated for finding the actual paths in the network. (Author).
Author: Mokhtar S. Bazaraa Publisher: John Wiley & Sons ISBN: 0471703761 Category : Mathematics Languages : en Pages : 764
Book Description
Linear Programming and Network Flows, now in its third edition, addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequility constraints. This book: * Provides methods for modeling complex problems via effective algorithms on modern computers. * Presents the general theory and characteristics of optimization problems, along with effective solution algorithms. * Explores linear programming (LP) and network flows, employing polynomial-time algorithms and various specializations of the simplex method.
Author: Bozzano G Luisa Publisher: Elsevier ISBN: 0080933912 Category : Mathematics Languages : en Pages : 1011
Book Description
This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Author: B. Rothschild Publisher: ISBN: Category : Languages : en Pages : 15
Book Description
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).
Author: Ronald L. Graham Publisher: Elsevier ISBN: 9780444823465 Category : Business & Economics Languages : en Pages : 1124
Book Description
Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
Author: Bernhard Korte Publisher: Springer Science & Business Media ISBN: 3540292977 Category : Mathematics Languages : en Pages : 596
Book Description
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.
Author: Ronald L. Graham Publisher: MIT Press ISBN: 9780262571722 Category : Computers Languages : en Pages : 1130
Book Description
Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.
Author: Irtiz̤á Karīm
Author: Irtiz̤á Karīm
Author: Mokhtar S. Bazaraa
Author: Bozzano G Luisa
Author: B. Rothschild
Author: Ronald L. Graham
Author: Bernhard Korte
Author: 
Author: Ronald L. Graham
Author: R.v. Randow
Author: R.L. Graham