Summary: | 碩士 === 國立中央大學 === 土木工程研究所 === 88 === The dynamic signal timings control (DSTC) model is an application of bilevel programming model, including the upper level, dynamic signal timings optimal model, and the lower level, dynamic user equilibrium route choice model. The DSTC model may be described as a Stackelberg game, among the upper level tries to minimum the total travel cost by allocating the green times and determining link capacities. The lower level, based on the fixed link capacities , searches the shortest travel time route for use, which can be mathematically represented by the dynamic user-optimal conditions.
In this research, we consider several heuristic algorithms for the DSTC model which is constructed by Chou (1999). In the iterative processes of algorithms, the minimum distance approach is used to obtain the sensitivity analysis information for the dynamic user equilibrium route choice model. Besides we verify the difference between the minimum distance and generalized inverse approach for the equilibrium network flow. Through the derivative information, we analyze four heuristics sensitivity analysis based algorithms, including : SDAP, SDAA, GEDO, and LAA. Numerical examples are implemented. According to the result, the SDAA is better than other methods.
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