# 吴方法在求解Beckmann交通平衡分配模型中的应用On Application of Wu’s Method in Solving the Beckmann Traffic Assignment Model

DOI: 10.12677/AAM.2016.53041, PDF, HTML, XML, 下载: 1,430  浏览: 4,107  国家自然科学基金支持

Abstract: The Beckmann optimization model of traffic equilibrium assignment has drawn more and more attention of researchers because of its wide application in transportation science and engineering. The model is usually solved by W-F algorithm. In the present paper, the Beckmann Traffic equili-brium assignment model is investigated by Wu’s Method. Using Mathematics-Mechanization ideal and symbolic computation, we equivalently transform the model to finding the zero set problem of the characteristic sets of a multivariable polynomials and realize the algorithm on computer by computer algebra system. As an application of Wu’s Method, we use it to solve the specific Beck-mann optimization model. As a result, we prove the efficiency of Wu’s method and provide a new research idea for such kind of the transportation problems.

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