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Network Flows and Monotropic Optimization

Network Flows and Monotropic Optimization
Author: R. Tyrell Rockafellar
Publisher: Athena Scientific
Total Pages: 632
Release: 1999-06-01
Genre: Mathematics
ISBN: 188652906X

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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


Traffic Flow on Transportation Networks

Traffic Flow on Transportation Networks
Author: Gordon Frank Newell
Publisher: MIT Press (MA)
Total Pages: 340
Release: 1980
Genre: Architecture
ISBN:

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This book explains in detail the advantages and limitations of network analysis applied to transportation problems.


Optimization Methods and Applications

Optimization Methods and Applications
Author: Xiao-qi Yang
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2013-03-14
Genre: Computers
ISBN: 147573333X

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This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.


Encyclopedia of Optimization

Encyclopedia of Optimization
Author: Christodoulos A. Floudas
Publisher: Springer Science & Business Media
Total Pages: 4646
Release: 2008-09-04
Genre: Mathematics
ISBN: 0387747583

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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".


Vehicle Scheduling in Port Automation

Vehicle Scheduling in Port Automation
Author: Hassan Rashidi
Publisher: CRC Press
Total Pages: 256
Release: 2015-08-14
Genre: Business & Economics
ISBN: 1498732542

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Container terminals are constantly being challenged to adjust their throughput capacity to match fluctuating demand. Examining the optimization problems encountered in today's container terminals, Vehicle Scheduling in Port Automation: Advanced Algorithms for Minimum Cost Flow Problems, Second Edition provides advanced algorithms for handling the s


Combinatorial Optimization

Combinatorial Optimization
Author: Eugene Lawler
Publisher: Courier Corporation
Total Pages: 400
Release: 2012-10-16
Genre: Mathematics
ISBN: 048614366X

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Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.


Linear Programming and Network Flows

Linear Programming and Network Flows
Author: Mokhtar S. Bazaraa
Publisher: John Wiley & Sons
Total Pages: 764
Release: 2011-08-10
Genre: Mathematics
ISBN: 0471703761

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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.