为研究冰雪条件下城市路网容量可靠性,采用路段行程时间可靠性及容量为约束条件进行研究.定义了冰雪条件下的路网容量可靠性概念,以BPR(Bureau of Public Roads)函数为基础,通过引入自由行程时间及通行能力修正函数,建立了适用于冰雪条...为研究冰雪条件下城市路网容量可靠性,采用路段行程时间可靠性及容量为约束条件进行研究.定义了冰雪条件下的路网容量可靠性概念,以BPR(Bureau of Public Roads)函数为基础,通过引入自由行程时间及通行能力修正函数,建立了适用于冰雪条件的ISB-BPR(Ice and Snowfall Based-Bureau of Public Roads)函数,并以路段容量和遵循ISB-BPR函数的行程时间可靠性作为约束条件构建了上层规划,以符合冰雪条件出行特征的弹性需求分配模型作为下层规划,提出了适用于冰雪条件的双层规划模型.根据模型反映的路径选择行为特点,设计了灵敏度分析法求解交通量分配模型,以Monte Carlo仿真算法求解路网容量可靠性.并给出1简单算例,计算结果表明:冰雪强度及交通供需对冰雪条件下路网容量可靠性有很大影响.该模型能够用于评估冰雪条件下的路网性能,并为路网规划、设计、维护提供依据.展开更多
This paper puts forward a rigorous approach for a sensitivity analysis of stochastic user equilibrium with the elastic demand (SUEED) model. First, proof is given for the existence of derivatives of output variables...This paper puts forward a rigorous approach for a sensitivity analysis of stochastic user equilibrium with the elastic demand (SUEED) model. First, proof is given for the existence of derivatives of output variables with respect to the perturbation parameters for the SUEED model. Then by taking advantage of the gradient-based method for sensitivity analysis of a general nonlinear program, detailed formulae are developed for calculating the derivatives of designed variables with respect to perturbation parameters at the equilibrium state of the SUEED model. This method is not only applicable for a sensitivity analysis of the logit-type SUEED problem, but also for the probit-type SUEED problem. The application of the proposed method in a numerical example shows that the proposed method can be used to approximate the equilibrium link flow solutions for both logit-type SUEED and probit-type SUEED problems when small perturbations are introduced in the input parameters.展开更多
文摘为研究冰雪条件下城市路网容量可靠性,采用路段行程时间可靠性及容量为约束条件进行研究.定义了冰雪条件下的路网容量可靠性概念,以BPR(Bureau of Public Roads)函数为基础,通过引入自由行程时间及通行能力修正函数,建立了适用于冰雪条件的ISB-BPR(Ice and Snowfall Based-Bureau of Public Roads)函数,并以路段容量和遵循ISB-BPR函数的行程时间可靠性作为约束条件构建了上层规划,以符合冰雪条件出行特征的弹性需求分配模型作为下层规划,提出了适用于冰雪条件的双层规划模型.根据模型反映的路径选择行为特点,设计了灵敏度分析法求解交通量分配模型,以Monte Carlo仿真算法求解路网容量可靠性.并给出1简单算例,计算结果表明:冰雪强度及交通供需对冰雪条件下路网容量可靠性有很大影响.该模型能够用于评估冰雪条件下的路网性能,并为路网规划、设计、维护提供依据.
基金The Scientific Innovation Research of College Graduates in Jiangsu Province(No.CXLX13_110)the Young Scientists Fund of National Natural Science Foundation of China(No.51408253)the Young Scientists Fund of Huaiyin Institute of Technology(No.491713328)
文摘This paper puts forward a rigorous approach for a sensitivity analysis of stochastic user equilibrium with the elastic demand (SUEED) model. First, proof is given for the existence of derivatives of output variables with respect to the perturbation parameters for the SUEED model. Then by taking advantage of the gradient-based method for sensitivity analysis of a general nonlinear program, detailed formulae are developed for calculating the derivatives of designed variables with respect to perturbation parameters at the equilibrium state of the SUEED model. This method is not only applicable for a sensitivity analysis of the logit-type SUEED problem, but also for the probit-type SUEED problem. The application of the proposed method in a numerical example shows that the proposed method can be used to approximate the equilibrium link flow solutions for both logit-type SUEED and probit-type SUEED problems when small perturbations are introduced in the input parameters.