A multi-modal urban transportation network provides travelers with diversified and convenient travel options. The study of multi-modal traffic assignment encounters great challenges from the common-line problem, route correlation, and the variability of travel tools. This article starts with the construction of super-networks to solve the common-line problem of multi-modal system. From the dimensions of time, fee, comfort, and transfer penalty, a multi-modal generalized travel cost function is proposed to reflect the impact of travel mode and transfer on route choice. Based on C-logit model, considering multi-modal capacity constraint and route correlation, a nonlinear programming model equivalent to the multi-modal stochastic user equilibrium is set up. The corresponding solving algorithm is designed by combining the augmented Lagrangian multiplier method and the successive weight average algorithm. Finally, the effectiveness of the proposed model and algorithms is verified through a numerical example, and the traffic assignment approach is applied in some typical scenarios. The multi-modal transportation network equilibrium approach proposed in this article takes into account the capacity constraints of different travel modes and solves the path overlapping problem in combined modes. It provides a basis and tool to formulate the traffic management strategy for public transport and combined mode trips.
The layout of functional areas has a great impact on the implementing of a logistics park. Existing layout models with multiple planning objectives and influencing factors are too complex to be solved. This article puts forward a two-stage layout method for functional areas in logistics parks combining a layer-by-layer analysis process and a multi-objective programming model. Base on the rational setting of functional areas, the optimization of operational processes and the quantification of the interrelations between functional areas, some green logistic goals are achieved in two stages. In the first stage, the method aims at maximizing the comprehensive relationship among functional areas and obtaining the layout structure by the layer-by-layer analysis process. In the second stage, a multi-objective planning model is established to get the location and shape of each functional area, with the goals of minimizing the material handling costs and maximizing the spatial utilization rate. A genetic algorithm is designed to solve the model. Finally, an example is put forward to verify the feasibility of the two-stage layout method, and the comparison with the previous general model is presented. This article provides a new method for the layout planning of function areas in green logistics parks.
As one of the most effective traffic demand management measures, cordon-based congestion pricing can alleviate recurrent traffic congestion. Existing methods of determining the toll cordon require an excessive investigation and calculation, and the model assumptions are too idealistic. This article attempts to reduce the amount of required calculation by introducing feasible cordons. Through GPS data of floating cars, an accurate identification of the research scope and a feasible cordon for congestion pricing can be achieved. Further, considering multiuser choices and congestion transfer when pricing is imposed, this article establishes a joint bi-level model to determine the toll cordons and rate simultaneously. The upper level of the model aims at maximizing social welfare with the restriction of congestion transfer. The lower level of the model is a road network equilibrium model in which the value of time is considered. A combined algorithm is adopted to solve the bi-level model. Finally, the effectiveness of the method is verified by taking Changchun as an example. This article provides a methodological support for designing a feasible and an effective cordon-based congestion pricing scheme. INDEX TERMS Congestion pricing, bi-level programming model, feasible cordon, combined algorithm, GPS data.
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