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    <subfield code="a">Varameth Vichiensan</subfield>
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    <subfield code="a">A link-based user equilibrium traffic assignment for urban transportation networks</subfield>
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    <subfield code="a">Bangkok :</subfield>
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    <subfield code="c">1998</subfield>
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    <subfield code="a">A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering </subfield>
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    <subfield code="a">This study shows that the user equilibrium assignment can be represented as an  optimization problem with only link variables, i.e., link-based user equilibrium problem. Such a  formulation does not require to enumerate the possible paths, so it seems feasible to obtain the  exact solution compared with the solution from classical algorithms. This study concentrates on  the problem formulations with only link-based variables rather than developing algorithms or  testing the solution convergence speed. The equivalence of route-based and link-based user  equilibrium problem is theoretically derived; the optimality conditions of link-based program  must satisfy that of the route-based program and vice versa. And from this equivalency, the  same set of solution can be obtained by solving either models. The relation between link flow  and route flow is also investigated for the uniqueness conditions. The computation trade-offs  between two models are discussed. The size of two problems are compared as well as some  issues relating to the dynamic user equilibrium (DUE) problem are mentioned. Since the  solution is not unique in terms of path flow, the most likely path flow pattern is then  determined. Next, the concept of link-based user equilibrium is extended to analyze some of the  typical transportation planning problems in a way parallel to Sheffi (1985). Next, the link-based  user equilibrium concept is applied to Bell (1995)'s model which presented the equilibrium  assignment with queues. Finally, the stochastic user equilibrium is analyzed based on link  variables, and various models are discussed. In this study only small network problems are  numerically solved to validate the model formulated.</subfield>
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