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首页> 外文期刊>Journal of applied mathematics >The Optimal Taxi Fleet Size Structure under Various Market Regimes When Charging Taxis with Link-Based Toll
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The Optimal Taxi Fleet Size Structure under Various Market Regimes When Charging Taxis with Link-Based Toll

机译：在基于链接收费的出租车收费下，各种市场制度下的最优出租车车队规模结构

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This paper investigates the optimal taxi fleet size structure under monopoly and oligopoly market regimes when taxis are charged with the link-based toll. We proposed a bilevel programming model to take account of the interaction between taxi fleet size and different traffic modes in the network. The upper level is to determine the optimal taxi fleet structure so as to maximize the profit of each taxi firm. The lower-level is a combined network equilibrium model (CNEM) representing the travelers’ response to the equilibrium taxi fleet size structure when congestion toll is imposed on taxis. We show that the lower level problem can be formulated as an equivalent variational inequality formulation, which considers the hierarchical logit-based mode split, route choice, elastic demand, and vacant taxi distributions. The bilevel problem can be solved by an iterative heuristic solution algorithm, whereas the lower level model is solved by the block Gauss-Seidel decomposition approach together with method of successive averages. An application with numerical examples is presented to illustrate the effectiveness of the proposed model and algorithm, and some interesting findings are also provided.
机译：本文研究了在按链接收费的情况下为出租车收费的垄断和寡头市场体制下的最优出租车车队规模结构。我们提出了一种双层规划模型，以考虑出租车车队规模与网络中不同交通方式之间的相互作用。上层是确定最佳的出租车车队结构，以使每个出租车公司的利润最大化。下层是组合网络平衡模型（CNEM），表示旅行者对出租车施加拥堵费时对平衡的出租车队规模结构的反应。我们表明，较低级别的问题可以公式化为等效的变分不等式公式，该公式考虑了基于logit的分层模式划分，路线选择，弹性需求和空置出租车分布。双层问题可以通过迭代启发式求解算法来解决，而下层模型可以通过块高斯-塞德尔分解法以及连续平均法来解决。提出了带有数值示例的应用程序，以说明所提出的模型和算法的有效性，并提供了一些有趣的发现。

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