Network Flows

1993
Network Flows

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  • Author: Ravindra K. Ahuja
  • Publisher: Pearson
  • ISBN:
  • Category : Business & Economics
  • Languages : en
  • Pages : 870

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.

Network Flow Algorithms

2019-09-05
Network Flow Algorithms

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  • Author: David P. Williamson
  • Publisher: Cambridge University Press
  • ISBN: 1316946665
  • Category : Computers
  • Languages : en
  • Pages : 327

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.

Network Flow, Transportation, and Scheduling; Theory and Algorithms

2011-10-14
Network Flow, Transportation, and Scheduling; Theory and Algorithms

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  • Author: Masao
  • Publisher: Academic Press
  • ISBN: 0080955665
  • Category : Computers
  • Languages : en
  • Pages : 333

Network Flow, Transportation, and Scheduling; Theory and Algorithms

Network Flow Algorithms

1989
Network Flow Algorithms

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  • Author: A. V. Goldberg
  • Publisher:
  • ISBN:
  • Category : Algorithms
  • Languages : en
  • Pages : 80

Network Flow Algorithms

2019-09-05
Network Flow Algorithms

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  • Author: David P. Williamson
  • Publisher: Cambridge University Press
  • ISBN: 1107185890
  • Category : Computers
  • Languages : en
  • Pages : 327

Offers an up-to-date, unified treatment of combinatorial algorithms to solve network flow problems for graduate students and professionals.

Programming in Networks and Graphs

2013-11-11
Programming in Networks and Graphs

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  • Author: Ulrich Derigs
  • Publisher: Springer Science & Business Media
  • ISBN: 3642517137
  • Category : Business & Economics
  • Languages : en
  • Pages : 315

Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed. These algorithms are usually classified as primal, dual, primal-dual etc. The question the author addresses in this work is that of the existence of a common combinatorial principle which might be inherent in all those apparently different approaches. It is shown that all common network flow and matching algorithms implicitly follow the so-called shortest augmenting path. This can be interpreted as a greedy-like decision rule where the optimal solution is built up through a sequence of local optimal solutions. The efficiency of this approach is realized by combining this myopic decision rule with an anticipant organization. The approach of this work is organized as follows. For several standard flow and matching problems the common solution procedures are first reviewed. It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule. Recognizing this near-equivalence of all commonly used algorithms the question of the best method has to be modified - all methods are (only) different implementations of the same algorithm obtained by different views of the problem.

Network Flows and Monotropic Optimization

1999-06-01
Network Flows and Monotropic Optimization

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  • Author: R. Tyrell Rockafellar
  • Publisher: Athena Scientific
  • ISBN: 188652906X
  • Category : Mathematics
  • Languages : en
  • Pages : 632

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

Network flows and network design in theory and practice

2014
Network flows and network design in theory and practice

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  • Author: Jannik Matuschke
  • Publisher: Jannik Matuschke
  • ISBN:
  • Category :
  • Languages : en
  • Pages : 172

Network flow and network design problems arise in various application areas of combinatorial optimization, e.g., in transportation, production, or telecommunication. This thesis contributes new results to four different problem classes from this area, providing models and algorithms with immediate practical impact as well as theoretical insights into complexity and combinatorial structure of network optimization problems: (i) We introduce a new model for tactical transportation planning that employs a cyclic network expansion to integrate routing and inventory decisions into a unified capacitated network design formulation. We also devise several algorithmic approaches to solve the resulting optimization problem and demonstrate the applicability of our approach on a set of real-world logistic networks. (ii) We present approximation algorithms for combined location and network design problems, including the first constant factor approximation for capacitated location routing. (iii) We derive a max-flow/min-cut theorem for abstract flows over time, a generalization of the well-known work of Ford and Fulkerson that restricts to a minimal set of structural requirements. (iv) We devise algorithms for finding orientations of embedded graphs with degree constraints on vertices and faces, answering an open question by Frank.

Network Flows and Matching

Network Flows and Matching

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  • Author: David S. Johnson
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821870594
  • Category : Mathematics
  • Languages : en
  • Pages : 610

Interest has grown recently in the application of computational and statistical tools to problems in the analysis of algorithms. In many algorithmic domains, worst-case bounds are too pessimistic and tractable probabilistic models too unrealistic to provide meaningful predictions of practical algorithmic performance. Experimental approaches can provide knowledge where purely analytical methods fail and can provide insights to motivate and guide deeper analytical results. The DIMACS Implementation Challenge was organized to encourage experimental work in the area of network flows and matchings. Participants at sites in the U.S., Europe, and Japan undertook projects between November 1990 and August 1991 to test and evaluate algorithms for these problems. The Challenge culminated in a three-day workshop, held in October 1991 at DIMACS. This volume contains the revised and refereed versions of twenty-two of the papers presented at the workshop, along with supplemental material about the Challenge and the Workshop.

Linear Network Optimization

1991
Linear Network Optimization

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  • Author: Dimitri P. Bertsekas
  • Publisher: MIT Press
  • ISBN: 9780262023344
  • Category : Business & Economics
  • Languages : en
  • Pages : 384

Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems.