The Traffic Assignment Problem: Models and Methods

Michael Patriksson

Jan 2015 · Courier Dover Publications

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This monograph provides both a unified account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas and a survey of the scope and limitations of present traffic models. The development is described and analyzed by the use of the powerful instruments of nonlinear optimization and mathematical programming within the field of operations research. The first part is devoted to mathematical models for the analysis of transportation network equilibria; the second deals with methods for traffic equilibrium problems.
This title will interest readers wishing to extend their knowledge of equilibrium modeling and analysis and of the foundations of efficient optimization methods adapted for the solution of large-scale models. In addition to its value to researchers, the treatment is suitable for advanced graduate courses in transportation, operations research, and quantitative economics.

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Michael Patriksson is Professor of Applied Mathematics at the Chalmers University of Technology in Gothenburg, Sweden. His other books include Nonlinear Programming and Variational Inequality Problems: A Unified Approach and An Introduction to Continuous Optimization with co-authors Niclas Andreasson and Anton Evgrafov.