Optimizing departure times in vehicle routes

Most solution methods for the vehicle routing problem with time windows (VRPTW) develop routes from the earliest feasible departure time. In practice, however, temporary traffic congestion make such solutions non-optimal with respect to minimizing the total duty time. Furthermore, the VRPTW does not account for driving hours regulations, which restrict the available travel time for truck drivers. To deal with these problems, we consider the vehicle departure time optimization (VDO) problem as a post-processing of a VRPTW. We propose an ILP formulation that minimizes the total duty time. The results of a case study indicate that duty time reductions of 15% can be achieved. Furthermore, computational experiments on VRPTW benchmarks indicate that ignoring traffic congestion or driving hours regulations leads to practically infeasible solutions. Therefore, new vehicle routing methods should be developed that account for these common restrictions. We propose an integrated approach based on classical insertion heuristics.     

多重休假Mx/G/1排队系统的输出过程

本文首次研究服务员具有多重休假规则的成批到达Mx/G/1排队系统的输出过程.应用更新过程理论、拉普拉斯-司梯阶变换和本文提出的直接概率分解分析法,讨论了从任意初始状态出发,系统在(0,t]时间内输出顾客的平均数,以及其渐近展开,得到一些重要结果.     

强化归属感引导学生回归课堂效果研究

当代大学生背离课堂原因复杂多样,如何改变现状引导学生回归课堂,是国内外大学共同面对的难题。本文从教育心理学角度出发,结合多年的工作实践,提出了强化个体归属感,引导学生回归课堂的应对策略;系统探讨了强化学生归属感的多种途径,并通过实际案例对如何强化归属感以及取得的有益效果进行了详细说明。该文提出的教学理论对一线授课教师和教育工作管理者具有参考、借鉴意义。     

Some New Results for Departure Process in the M X /G/1 Queueing System with a Single Vacation and Exhaustive Service

A batch arrival queueing system with a single vacation between two successive busy periods and with exhaustive service is considered.

The departure process h(t) is studied first on a single vacation cycle. The approach based on renewal theory is applied to obtain results in the general case. In particular, the explicit representation for the generating function of Laplace transform of the probability function of h(t) is derived. All formulae are written in terms of input parameters of the system and factors of a certain canonical factorization of Wiener–Hopf type. A numerical approach to results is discussed as well.     

组合预测方法在大气环境评价中的应用

李振亮．组合预测方法在大气环境评价中的应用．数理统计与管理，１９９７，１６（４），１２～１５．本文利用组合预测理论和方法，建立了一种大气环境质量评价的组合模型。实例分析表明，该组合评价模型具有利用各单一评价模型提供的信息和集中各单一模型的优点，是一种稳健和优化的环境质量评价模型。     

G／G／1排队系统的渐近泊松离去过程

本文给出了Ｇ／Ｇ／１排队系统的离去过程的有限维分布弱收敛到泊松过程的有限维分布的条件,特别给出了生灭排队系统及Ｇ／Ｍ／１排队系统的离去过程的有限维分布弱收敛到泊松过程的有限维分布的简单条件．     

基于整体性思想的数据分析

通过对风险函数的分解,首先得到了传统上在独立同分布模型或线性模型假定下被忽视的度量复杂系统非线性程度的重要指标-扭曲度,然后对如何降低风险进行了讨论.逐步引出了干扰度、偏离度和信息分解比,它们与风险函数和扭曲度一起组成五个指标;最后权衡这五个指标,达到对稳定中心度量指标的控制.这也是用整体性思想进行数据分析的一种尝试.     

多重休假M^x/G/l排队系统的输出过程

本文首次研究服务员具有多重休假规则的成批到达M^x/G/l排队系统的输出过程．应用更新过程理论、拉普拉斯-司梯阶变换和本文提出的直接概率分解分析法，讨论了从任意初始状态出发，系统在（O，t）时间内输出顾客的平均数，以及其渐近展开，得到一些重要结果．     

Departures from queues with changeover times

We consider the M/M ^ij /1 queue as a model of queues with changeover times, i.e., the service is exponential with parameter _ij depending on the previous job type (i) and the current job type (j). It is shown that the departure process is renewal and Poisson iff _ij = (constant). In this case, types of departures are dependent renewal processes. Crosscovariance and crosscorrelations are given.     

偏心环状干涉条纹对成像的影响

 讨论了由激光束生成的环状干涉条纹用于目标成像的原理和使用匹配滤波器的处理方法，推导得出相应的点扩展函数(PSF)。模拟计算了主旁瓣峰值比和偏心量与相位量的关系，分析了偏心量对成像质量的影响。结果表明，适当的偏心量有利于提高环状干涉条纹成像的分辨率，又不致于产生对点扩展函数有影响的旁瓣。