Aggregate expenditure elasticity for transport and communication in Australia

For the purpose of estimating Engel elasticity, one needs to find the best functional form among various alternatives. In this paper, a new function, which is called the double semi-log Engel function turns out to be the best functional form for the transport and communication items in Australia on the basis of the distance function (D²) criterion, and the non-nested hypothesis testing procedure. This function is then used to estimate total expenditure elasticity, and the percentage change in consumer demand due to changes in total expenditure and total expenditure inequalities; using the 1975–76 Household Expenditure Survey data. The results of the analyses demonstrate that transport and communication is a necessary item in Australia on the basis of two criteria, viz., its elasticity is not significantly greater than unity, and the percentage change in demand increases with a decrease of the total expenditure inequality [emphasised by Iyengar (I960)]. Policy implication of the analyses has also been discussed.     

信号控制下交叉口延误计算方法研究

为了对交通信号控制参数进行优化,需要对交叉口延误进行定量的分析与计算。根据信号控制交叉口理论,在以往定时信号延误研究的基础上,基于交叉口一个进口方向的车辆延误分析,针对交叉口各进口方向同时处于非饱和与同时处于过饱和交通状况,分析并推导了交叉口延误公式.并用具体的算例说明了公式的用法。公式表明了交叉口延误与信号控制参数、车辆到达率等参数之间的动态关系,为进一步研究交通信号自适应控制方法和建立交通信号控制参数优化的性能指标函数提供了信息。     

Liner shipping network design with emission control areas: A genetic algorithm-based approach

To curb emissions, containerized shipping lines face the traditional trade-off between cost and emissions (CO₂ and SO_x) reduction. This paper considers this element in the context of liner service design and proposes a mixed integer linear programming (MILP) model based on a multi-commodity pickup and delivery arc-flow formulation. The objective is to maximize the profit by selecting the ports to be visited, the sequence of port visit, the cargo flows between ports, as well as the number/operating speeds of vessels on each arc of the selected route. The problem also considers that Emission Control Areas (ECAs) exist in the liner network and accounts for the vessel carrying capacity. In addition to using the MILP solver of CPLEX, we develop in the paper a specific genetic algorithm (GA) based heuristic and show that it gives the possibility to reach an optimal solution when solving large size instances.     

仿紧集上新型抽象广义双拟变分不等式

笔者在本文应用文献[1]中得到的极大极小不等式研究了仿紧集上新型抽象广义双拟变分不等式解的存在性问题.     

锐角三角形的一个不等式链

应用重要的R-r-s方法,证明了有关锐角三角形的中线、高线与旁切圆半径的不等式链:设锐角ΔABC的三条中线,三条高线与旁切圆半径分别为ma,mb,mc;ha,hb,hc和ra,rb,rc,则成立不等式:maha mbhb mchc≥wbwc wcwa wawb≥hara hbrb hcrc.提出并应用计算机验证了三个有关的猜想.     

平面桁架的几何非线性有限元分析

平面杆系结构的几何非线性分析方法有多种.以平面桁架为例,从杆的平衡方程出发,直接利用变分方法导出杆单元在大转动、小应变条件下的考虑几何非线性的单元切线刚度矩阵,依照此原理编制了相应的有限元程序.算例表明,推导结果是正确的,该程序可用于平面桁架的几何非线性分析.     

On a link-based day-to-day traffic assignment model

In this paper, we perform a rigorous analysis on a link-based day-to-day traffic assignment model recently proposed in He et al. (2010). Several properties, including the invariance set and the constrained stability, of this dynamical process are established. An extension of the model to the asymmetric case is investigated and the stability result is also established under slightly more restrictive assumptions. Numerical experiments are conducted to demonstrate the findings.     

Improving maritime inventory routing: application to a Brazilian petroleum case

The crude oil offloading and supply problem (COSP) is a type of operation maritime inventory routing (MIR) problem encountered by petroleum companies. In COSP, the company not only is responsible for the ship scheduling to carry the crude oil from production sites to discharge ports but also must maintain inventory levels at both ports (production and consumption) between safety operational bounds to avoid disruptions in its crude oil production and/or refining processes. We show how to improve significantly the decision-making process in a Brazilian petroleum company using a mixed-integer linear programming (MILP) model to represent COSP. Comparison tests with a current ship-scheduling method adopted in the company indicated that the use of the MILP model increased the transportation efficiency and reduced costs by 20% on average. In addition to the quantitative gains, the use of a MILP model to solve COSP has succeeded when encountering real-life events, such as variation in production or consumption rates, berth unavailability, and changes in the storage capacities at ports.     

带转向延误的非对称多模式用户平衡模型及算法

为了在网络建模中更精确地反映交通网络和出行行为的复杂特征,从多模式用户平衡原理出发,综合考虑多模式和转向延误因素以及不同模式、路段和转向之间的非对称作用,利用变分不等式理论建立了带转向延误的非对称多模式用户平衡模型,并在精简对角化算法的框架内设计了求解算法。该模型集成了交通网络的诸多特征,且能直接刻画转向延误与转向流量之间的互动关系,避免了传统扩展网络法的缺陷。算例表明:该模型及其算法对问题的描述与求解是有效的。     

三阶非线性边值问题的奇摄动

利用微分不等式技巧和Volterra型积分算子，研究了一类三阶非线性奇摄动边值问题解的存在和渐近估计。