Development potential of the Northeast Passage based on a multinomial-logit-based stochastic user equilibrium model

We developed a multinomial-logit-based stochastic user equilibrium(MNL SUE)model incorporating time value of cargo to investigate future proportions of cargo flow through the Northeast Passage(NEP)and the Suez Canal Route between representative ports.We studied navigation during the ice-free and ice-covered seasons using sea ice projections for 2070 based on 1991–2021 NEP ice data.Sailing distance and time between selected ports are lower via the NEP than the Suez Canal Route.Under the scenario of year-round operation of the NEP,the proportion of cargo flow through the NEP is estimated to be 68.5%,which represents considerable commercial potential.Proportions are higher for the ice-free season and for ports at high latitudes.We also assessed flow under different scenarios.Under the scenario of fuel price increase,proportion of flow through the NEP in the ice-covered season is expected to increase.If time value is ignored,flow through the NEP is expected to increase all year round.If shippers become more cost-conscious,flow through the NEP is also expected to increase.

Robust user equilibrium model based on cumulative prospect theory under distribution-free travel time

The assumption widely used in the user equilibrium model for stochastic network was that the probability distributions of the travel time were known explicitly by travelers. However, this distribution may be unavailable in reality. By relaxing the restrictive assumption, a robust user equilibrium model based on cumulative prospect theory under distribution-free travel time was presented. In the absence of the cumulative distribution function of the travel time, the exact cumulative prospect value(CPV) for each route cannot be obtained. However, the upper and lower bounds on the CPV can be calculated by probability inequalities.Travelers were assumed to choose the routes with the best worst-case CPVs. The proposed model was formulated as a variational inequality problem and solved via a heuristic solution algorithm. A numerical example was also provided to illustrate the application of the proposed model and the efficiency of the solution algorithm.

Cumulative prospect theory-based user equilibrium model with stochastic perception errors

The cumulative prospect theory(CPT) is applied to study travelers' route choice behavior in a degradable transport network. A cumulative prospect theory-based user equilibrium(CPT-UE) model considering stochastic perception error(SPE) within travelers' route choice decision process is developed. The SPE is conditionally dependent on the actual travel time distribution, which is different from the deterministic perception error used in the traditional logit-based stochastic user equilibrium. The CPT-UE model is formulated as a variational inequality problem and solved by a heuristic solution algorithm. Numerical examples are provided to illustrate the application of the proposed model and efficiency of the solution algorithm. The effects of SPE on the reference point determination, cumulative prospect value estimation, route choice decision and network performance evaluation are investigated.

Integrating Origin-Destination Survey and Stochastic User Equilibrium: A Case Study for Route Relocation

The paper analyses integrating origin-destination (O-D) survey results with stochastic user equilibrium (SUE) in traffic assignment. The two methods are widely used in transportation planning but their applications have not yet fully integrated. While O-D gives a generalized trip patterns, purpose and characteristics, SUE provides optimal trip distributions using the characteristics found in O-D survey. The paper utilized O-D and SUE in route relocation study for the town of Coamo in Puerto Rico. The O-D survey was used initially in studying possible trip distribution and assignment for the new route. Initial distribution and assignment of traffic to the existing roadway networks and the proposed route were allocated utilizing the O-D survey findings. The SUE was then used to optimize the assignments considering roadway characteristics such as number of lanes, capacity limits, free flow speed, signal spacing density, travel time and gasoline cost. The travel time was optimized through the Bureau of Public Roads (BPR) equation found in 2000 HCM. The optimal trips found from the SUE were then used to propose the final alignment of the new route. Traffic assignment from the SUE was slightly different from those initially assigned using O-D, indicating there was optimization. The assignment on new route was increased by 13.8% from the one assigned using O-D while assignment on the existing link was reduced by 22%.

Bounding the Inefficiency of the C-Logit Stochastic User Equilibrium Assignment

Compared with standard logit-based stochastic user equilibrium assignment model,the C-logit model describes route choice behavior in a more realistic way by considering the overlapping effect between routes.This paper investigates the inefficiency upper bounds of this model against the deterministic system optimum and the C-logit stochastic system optimum in terms of the total network travel time.It is found that the commonality factor of overlapping routes significantly affects the inefficiency bound,besides link congestion degree,total demand and the number of feasible routes.If the commonality factor is not considered,the efficiency loss resulting from selfishly stochastic travel behavior will be to large extent underestimated.

Modified stochastic user-equilibrium assignment algorithm for urban rail transit under network operation

Based on the framework of method of successive averages(MSA), a modified stochastic user-equilibrium assignment algorithm was proposed, which can be used to calculate the passenger flow distribution of urban rail transit(URT) under network operation. In order to describe the congestion's impact to passengers' route choices, a generalized cost function with in-vehicle congestion was set up. Building on the k-th shortest path algorithm, a method for generating choice set with time constraint was embedded, considering the characteristics of network operation. A simple but efficient route choice model, which was derived from travel surveys for URT passengers in China, was introduced to perform the stochastic network loading at each iteration in the algorithm. Initial tests on the URT network in Shanghai City show that the methodology, with rational calculation time, promises to compute more precisely the passenger flow distribution of URT under network operation, compared with those practical algorithms used in today's China.

Combinatorial Model Involving Mixed Deterministic Freight Volume Distribution and User's Equilibrium Assignment

Considering characteristics of Chinese urban mixed traffic,the author develops a combinatorial model involving the mixed deterministic traffic volume distribution and user's equilibrium (UE) assignment on the basis of symmetrical link travel time function (or deterrence).Its uniqueness and equivalance to the Wardropian principle of UE are also proved.Finally,we give the algorithm of model.

ATIS与收费策略下多用户随机均衡的效率损失

考虑ATIS作用的交通网络,用户具有交通信息接受程度的异质性;进一步,考虑实施道路收费策略情形下,用户具有时间价值的异质性;基于这两类异质性,研究了ATIS下异质性交通网络的效率损失问题。用户对ATIS系统的响应程度,亦即ATIS信息遵从率,是影响ATIS系统运行效率的关键因素。因此,通过ATIS信息遵从率参数的引入,将用户分为不同类型。假设用户均按照随机方式进行择路,建立了基于时间准则与基于费用准则的多用户Logit-随机均衡变分不等式。当系统总出行成本包含收费时,建立了多用户双准则系统最优模型,界定了多用户Logit-随机均衡相对于多用户系统最优的效率损失,推导出效率损失上界;进一步分析了当路段阻抗函数为多项式情形时,引入了自由流出行时间参数,给出了双准则下效率损失上界的解析式,分析了效率损失上界与各参数之间的关系。研究结论表明,双准则下效率损失上界为ATIS信息遵从率的减函数;此外,效率损失上界与路段阻抗函数、用户时间价值及其对路网的熟悉程度、路网本身复杂程度等因素有关。最后,通过算例验证了结论的有效性。

快慢车模式下早高峰时空乘车路径选择研究

研究早高峰通勤乘客的时空出行规律有助于更好地组织快慢车运营模式。本文从一种常见的快慢车运营模式出发,首先,根据乘客的起点车次和直达/换乘方案联合选择构建乘车路径;其次,以出行时间、早到/迟到延误和车内拥挤度作为早高峰通勤乘客出行选择的影响因素,对不同乘车路径下的出行成本进行构建;再次,以用户均衡理论建立乘车路径分配模型,并证明了该模型用户均衡路段解的存在性及唯一性;最后通过案例,对均衡模型进行验证。研究结果发现:短途乘客更愿意接受高拥挤但终点到达时刻接近工作开始时刻的车次,而长途乘客的车次选择分布较为均匀;除出行时间因素以外,延误惩罚和乘车拥挤同样影响早高峰通勤乘客的换乘行为,虽然换乘快车有可能降低出行时间,但高延误惩罚和拥挤成本会导致部分站点的乘客不选择换乘路径。

考虑随机用户均衡的区县级电动汽车快充站规划

电动汽车渗透率的提高和城市化进程的发展使得区县级充电设施的建设具有重要意义。综合考虑用户充电需求时空分布和用户充电决策中的有限理性,提出一种面向区县的电动汽车快充站优化规划模型。首先,针对区县用户的出行特征,构建包含外部连接的交通网络拓扑扩展形式,采用出行链仿真捕捉用户快充需求;其次,结合影响用户充电选择的多种因素,建立用户充电决策模型并给出随机用户均衡条件;然后,建立以投资运行成本、用户绕行距离最小为目标的多场景快充站选址定容优化模型,通过多种线性化手段处理指数等式均衡约束,将优化问题转换为混合整数线性规划以高效求解;最后,以33节点交通系统为例对快充站规划结果进行分析,验证所提模型和线性近似方法的合理性。

考虑用户出行成本预算的电力-交通耦合网络充电站定价策略

随着电动汽车的规模化发展,研究如何有效考虑用户的出行行为机理并制定合理的充电站充电价格,对电力-交通网络的协同优化调度具有重大意义。针对此问题,提出了考虑用户出行成本预算的电力-交通耦合网络充电站定价策略。首先,建立考虑出行成本预算的交通用户均衡模型,将均衡状态通过变分不等式进行等效描述,从而对电动汽车出行需求和充电行为进行刻画。其次,构建考虑功率削减的配电网二阶锥优化模型,将充电站定价问题转化为含有变分不等式约束的优化问题,并根据问题设计交替迭代算法和外梯度算法进行求解。最后,通过算例对所提模型和方法的有效性进行验证,结果表明了考虑出行成本预算对耦合网络充电定价的必要性。

随机用户均衡准动态交通分配模型

动态交通分配问题是交通科学研究的热点和难点,将动态交通分配方法应用于大规模网络往往产生过高的计算成本。通过研究准动态交通分配问题,降低动态交通分配中时间的连续性和动态交通分配模型的复杂性。采用路段行程时间计算公式定义一种新的剩余交通需求计算方法;然后考虑剩余交通需求在时段之间的传播过程和出行者对路网的熟悉程度差异,建立基于Logit的随机用户均衡准动态交通分配模型,基于逐次平均法设计模型的求解算法。最后通过Braess网络和九节点网络说明模型的应用情况,并分析模型参数的敏感度,验证模型的合理性与算法的有效性。本研究丰富了交通科学基础理论,为交通政策的制定提供参考依据。

电-路耦合网络下电动汽车充电站选址定容低碳规划

针对现有电动汽车充电站规划研究鲜有考虑碳排放的问题,提出了一种电-路耦合网络下电动汽车充电站选址定容低碳规划的方法。首先,建立电-路耦合网络,考虑不同车辆的相互影响并计及电动汽车用户里程焦虑,利用蒙特卡洛法模拟车流;其次,对耦合网络碳排放进行溯源和追踪;然后,考虑经济成本和碳排放量,建立多目标充电站规划模型,并利用帕累托前沿求取最优解;最后,以IEEE 33节点配电网和12节点交通网组成的耦合网络作为算例,验证所提方法的有效性。

基于Python 的等离子体平衡重建程序设计及实现

基于Python环境,设计和编写了等离子体平衡重建算法(Py-EFIT)。利用NumPy和SciPy库求解平衡重建算法中矩阵的运算问题,运用Matplotlib库实现重建算法计算结果的可视化,基于交互式可视化设计包QT Designer,使用PyQt库设计并实现该程序的用户界面。Py-EFIT的测试结果显示等离子体平衡重建过程操作更加简单、直观,为托卡马克实验数据分析提供了一种有效的工具。

Alpha-reliable combined mean traffic equilibrium model with stochastic travel times

Based on the reliability budget and percentile travel time(PTT) concept, a new travel time index named combined mean travel time(CMTT) under stochastic traffic network was proposed. CMTT here was defined as the convex combination of the conditional expectations of PTT-below and PTT-excess travel times. The former was designed as a risk-optimistic travel time index, and the latter was a risk-pessimistic one. Hence, CMTT was able to describe various routing risk-attitudes. The central idea of CMTT was comprehensively illustrated and the difference among the existing travel time indices was analyzed. The Wardropian combined mean traffic equilibrium(CMTE) model was formulated as a variational inequality and solved via an alternating direction algorithm nesting extra-gradient projection process. Some mathematical properties of CMTT and CMTE model were rigorously proved. Finally, a numerical example was performed to characterize the CMTE network. It is founded that that risk-pessimism is of more benefit to a modest(or low) congestion and risk network, however, it changes to be risk-optimism for a high congestion and risk network.

Modified origin-based algorithm for traffic equilibrium assignment problems

Key tactics of origin-based user equilibrium (OUE) algorithm was studied,which involved the algorithm procedure and several implementation issues.To speed up the convergence,update policies of flows,costs and bushes were proposed.The methods of step-size searching and bush construction are proved to be practical.The modified OUE algorithm procedure was also optimized to take the advantage of multi-thread process.Convergence performances were compared with those of other algorithms by different sizes of urban transportation networks.The result shows this modified OUE algorithm is more efficient and consumes less time to achieve the reasonable relative gap in practical applications.

Stochastic network equilibrium model with reliable travel time confidence level

In order to ensure on-time arrival when travelersmake their trips, the stochastic network assignment modelunder uncertainty of travel time is investigated. First, basedon travelers＇ route choice behavior, the reliable travel timeconfidence level （RTTCL）, which is the probability that a triparrives within the shortest average travel time plus theacceptable travel time difference, is defined. Then, areliability-based user equilibrium （RUE） model, whichhypothesizes that for each OD pair no traveler can improvehis/her RTTCL by unilaterally changing routes, is built.Since the traditional traffic assignment algorithms are notfeasible to solve the RUE model, a quasi method of successiveaverage （QMSA） is developed. Using Nguyen-Dupuis andSioux Falls networks, the model and the algorithm are tested.The results show that the QMSA algorithm can rapidlyconverge to a high accuracy for solving the proposed RUEmodel, and the RUE model can provide a good response totravelers＇ behavior in the stochastic network.

An Engineering Application Tool for Visual Assessment of the Equilibrium Beach

An engineering application tool for prediction of the static equilibrium bay （ Beach Mod） is established to describe two bay shape formulas by use of the programming software ＂MATLAB＂ with a graphic user interface （ GUI）. The tool is user-friendly for engineering students for the design of beach shapes. This tool was tested through application on three types of beaches in Taiwan and Australia. By implementing the concept of Headland Control, the Beach Mod program allows users to draw a structure and create an ＇artificial headland. The results indicate that Beach Mod can efficiently forecast beach changes as well as MEPBAY, a competing software package, while boasting a better user interface.

基于弹性需求的列车停站方案优化方法

为了更好地协调铁路运输能力分配和提升旅客出行服务质量、客观体现铁路企业和旅客间的博弈关系,提出一种弹性需求下的列车停站方案优化方法。首先,在考虑弹性需求和严格列车能力约束的基础上,分析列车停站方案、旅客出行成本和弹性需求三者间的相互影响关系,建立列车停站方案优化模型;其次,采用松弛和外近似技术等线性化方法,将模型重构为便于求解的线性规划模型;最后,通过小型算例和郑州—西安高速铁路实例,验证提出方法的有效性。结果表明:优化后的停站方案能够实现运输能力的合理分配;与真实的停站方案相比,优化方案在票价收益提高了0.30%的情况下,减少了22次停站,并使旅客总停站附加时间下降了76.14%,实现了对铁路运输效率和旅客服务质量的兼顾。

考虑列车随机延误的铁路网络客流均衡分配方法

铁路客流均衡分配是旅客出行选择的集中体现,对旅客列车开行方案和列车运行图等的评价和优化十分重要。实际运营中列车的随机延误会导致铁路旅客的出行时间发生变化,影响旅客的出行,尤其是换乘选择。考虑旅客在路径选择决策过程中的出行时间可靠性和不可靠性2个方面因素,提出一种考虑列车随机延误的铁路网络客流均衡分配方法。首先,构建旅客换乘网络,基于提出的期望−超额出行成本(METC)概念,考虑换乘过程中列车的延误概率,计算旅客的换乘成功概率和换乘周期选择;然后,进一步计算旅客出行路径的期望−超额成本,基于用户均衡条件,构建考虑列车随机延误的期望−超额客流均衡分配模型;最后,考虑到期望−超额出行成本的不可加性,结合相继平均法和k-最短路算法设计基于路径的客流分配算法,并对均衡模型进行求解。通过对一个简单算例和广珠铁路实例进行分析,结果表明:同时考虑出行时间的可靠性和不可靠性时,旅客的出行路径选择和换乘选择与仅考虑出行时间可靠性有较大差异,基于期望−超额的铁路网络客流分配模型可以更加准确地描述考虑列车随机延误的旅客的出行选择行为,证实了均衡分配方法的有效性。因此提出的客流分配方法可以为铁路网络旅客列车开行方案等的制定和优化提供理论依据。