随机裂隙不同特征对隧道围岩损伤影响分析

基于损伤力学、岩体力学及有限元分析方法,编制损伤附加位移有限元计算程序,选取一组倾向为NW45°的随机裂隙,讨论不同倾角、密度（损伤因子）及充填情况（拉剪、压剪应力传递系数）等对节理岩体隧道损伤影响。分析表明：隧道拱顶（底板）损伤附加位移绝对值随损伤因子的增大而增加,并成非线性关系;当倾角为0°和90°时,隧道的损伤影响与拉剪应力传递系数无关;相同倾角的随机裂隙对底板和拱顶关键点的损伤影响基本是相反的;倾角越小对拱顶下沉和底板隆起的损伤影响越大。拉剪应力传递系数对隧道损伤影响比压剪应力传递系数大;拉剪应力传递系数的变化对隧道损伤影响比压剪应力传递系数变化的影响小。     

基于随机需求的城市公交车辆调度问题的研究

在公交车辆调度问题上,考虑到公交调度中客流需求的不确定因素,引入随机需求调度模型及其相关概念,然后对优化模型进行实例求解,结果证明该模型是可行的。     

随机条件下固定公交线路服务频率优化模型

在考虑客流需求波动及车辆运行时间随机变动的情况下,建立了以乘客候车期望和公交车辆利用率总体最优为目标的公交线路服务频率优化模型.利用蒙特卡罗方法随机模拟一条高频线路的公交服务,计算得到了给定线路参数下的最优服务频率.算例表明该模型可用来确定高频服务公交线路的发车时间间隔.     

随机利率下的外汇欧式期权定价

在随机利率情况下,利用鞅方法研究了外汇欧式期权的定价问题,得到了欧式期权(看涨和看跌)价格的解析表达式,及其评价关系.文中考虑了期权的对冲问题及本国和外国利率波动的非零相关性,本国和外国利率波动对汇率波动的影响.     

Quantifying travel time variability at a single bottleneck based on stochastic capacity and demand distributions

Travel time reliability, an essential factor in traveler route and departure time decisions, serves as an important quality of service measure for dynamic transportation systems. This article investigates a fundamental problem of quantifying travel time variability from its root sources: stochastic capacity and demand variations that follow commonly used log-normal distributions. A volume-to-capacity ratio-based travel time function and a point queue model are used to demonstrate how day-to-day travel time variability can be explained from the underlying demand and capacity variations. One important finding is that closed-form solutions can be derived to formulate travel time variations as a function of random demand/capacity distributions, but there are certain cases in which a closed-form expression does not exist and numerical approximation methods are required. This article also uses probabilistic capacity reduction information to estimate time-dependent travel time variability distributions under conditions of non-recurring traffic congestion. The proposed models provide theoretically rigorous and practically useful tools for understanding the causes of travel time unreliability and evaluating the system-wide benefit of reducing demand and capacity variability.     

The performance of route modification and demand stabilization strategies in stochastic vehicle routing

A key concern in managing vehicle routing operations under stochastic demands is whether, on the basis of travel distance, route modification yields materially greater logistical efficiency than fixed routes. This research uses statistical calibration as the primary technique to develop a robust and tractable model for estimating this difference in logistical efficiency. Based on features such as the models predictive accuracy and generalizability, it constitutes a substantive improvement over existing models. The present study also expands the range of predictive models relevant to vehicle routing under stochastic demands with models to estimate the transportation and inventory effects of persuading customers to stabilize their ordering patterns.     

最大信干噪比准则下智能天线随机布阵效果研究

用最大信噪比准则，研究了在随机布阵条件下，智能天线应用于电子对抗环境中的可行性，得出了有用结论，对指导实际有重要意义。     

Reliability analysis of repairable systems using stochastic point processes

In order to analyze the failure data from repairable systems, the homogeneous Poisson process(HPP) is usually used. In general, HPP cannot be applied to analyze the entire life cycle of a complex, re-pairable system because the rate of occurrence of failures (ROCOF) of the system changes over time rather thanremains stable. However, from a practical point of view, it is always preferred to apply the simplest methodto address problems and to obtain useful practical results. Therefore, we attempted to use the HPP model toanalyze the failure data from real repairable systems. A graphic method and the Laplace test were also usedin the analysis. Results of numerical applications show that the HPP model may be a useful tool for the entirelife cycle of repairable systems.     

A stochastic analysis of highway capacity: Empirical evidence and implications

This paper presents a stochastic characterization of highway capacity and explores its implications on ramp metering control at the corridor level. The stochastic variation of highway capacity is captured through a Space–Time Autoregressive Integrated Moving Average (STARIMA) model. It is identified following a Seasonal STARIMA model (0, 0, 2₃) × (0, 1, 0)₂, which indicates that the capacities of adjacent locations are spatially–temporally correlated. Hourly capacity patterns further verify the stochastic nature of highway capacity. The goal of this paper is to study (1) how to take advantage of the extra information, such as capacity variation, and (2) what benefits can be gained from stochastic capacity modeling. The implication of stochastic capacity is investigated through a ramp metering case study. A mean–standard deviation formulation of capacity is proposed to achieve the trade-off between traffic operation efficiency and robustness. Following that, a modified stochastic capacity-constraint ZONE ramp metering scheme embedded cell transmission model algorithm is introduced. The numerical experiment suggests that considering capacity variation information would alleviate the spillback effect and improve throughput. Monte Carlo simulation further supports this argument. This study helps verify and characterize the stochastic nature of capacity, validates the benefits of using capacity variation information, and thus enhances the necessity of implementing stochastic capacity in traffic operation.     

Signal coordination model for local arterial with heavy bus flows

Conventional Transit Signal Priority (TSP) controls often reach the limitation for arterials accommodating heavy bus flows since the priority function can significantly increase delay at minor streets. Under such conditions, a proper signal progression plan that accounts for the benefits of buses may offer the potential to improve the reliability of bus operations and increase the bus ridership. This study proposes a bus-based progression model to reduce the delay of buses on local arterials. Given the cycle length and green splits at each intersection, the bus-based progression model, grounded on the same notion as conventional signal progression methods, considers the operational characteristics of transit vehicles, such as the impact of bus dwell time and the capacity constraints at bus stops. Also, to deal with the stochastic nature of dwell time, this study introduces additional constraints to maximize the percentage of buses which can stay within the green band after leaving bus stops. Taking an arterial with five intersections and three two-way bus stops as an example, this study applies VISSIM as an unbiased tool for model evaluation. The simulation results demonstrate that the proposed model can significantly reduce bus passenger delays and the average person delays for the entire arterial, compared with the conventional progression models.