原始变量守恒形式控制方程的时间准确性分析

基于压力、速度和温度的原始变量为自变量的守恒形式的控制方程可应用于定常流动问题,但是在求解非定常问题,例如某一典型激波管问题时,激波后温度出现过冲现象,即使通过细化网格、提高空间格式精度或者换用其他通量格式仍不能消除,这表明误差可能来自该方法本身。采用一维Euler方程对该方法进行数值分析。分析结果表明,数值误差来自时间项。通过构造相应的双时间步方程,虚拟时间项采用原始变量,而物理时间项采用守恒变量,并在两个相邻物理时间步内作为定常问题求解,可以收敛到相应的守恒形式,消除上述误差,得到准确的非定常数值解。     

一阶非线性脉冲边值问题解的存在性

研究一阶非线性脉冲周期边值问题,应用微分不等式和Schaefer不动点定理,得到了脉冲边值问题解存在的充分性判据,并给出了相应的Green函数。     

New inequalities for finite and infinite group problems from approximate lifting

In this paper, we derive new families of facet‐defining inequalities for the finite group problem and extreme inequalities for the infinite group problem using approximate lifting. The new valid inequalities for the finite group problem include two‐ and three‐slope facet‐defining inequalities as well as the first family of four‐slope facet‐defining inequalities. The new valid inequalities for the infinite group problem include families of two‐ and three‐slope extreme inequalities. These new inequalities not only illustrate the diversity of strong inequalities for the finite and infinite group problems, but also provide a large variety of new cutting planes for solving integer and mixed‐integer programming problems. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

A generic model of motor‐carrier fuel optimization

Fuel optimizers are decision models (software products) that are increasingly recognized as effective fuel management tools by U.S. truckload carriers. Using the latest price data of every truck stop, these models calculate the optimal fueling schedule for each route that indicates: (i) which truck stop(s) to use, and (ii) how much fuel to buy at the chosen truck stop(s) to minimize the refueling cost. In the current form, however, these models minimize only the fuel cost, and ignore or underestimate other costs that are affected by the models' decision variables. On the basis of the interviews with carrier managers, truck drivers, and fuel‐optimizer vendors, this article proposes a comprehensive model of motor‐carrier fuel optimization that considers all of the costs that are affected by the model's decision variables. Simulation results imply that the proposed model not only attains lower vehicle operating costs than the commercial fuel optimizers, but also gives solutions that are more desirable from the drivers' viewpoint. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Analysis of a machine repair problem with an unreliable server and phase type repairs and services

In this paper we study a machine repair problem in which a single unreliable server maintains N identical machines. The breakdown times of the machines are assumed to follow an exponential distribution. The server is subject to failure and the failure times are exponentially distributed. The repair times of the machine and the service times of the repairman are assumed to be of phase type. Using matrix‐analytic methods, we perform steady state analysis of this model. The time spent by a failed machine in service and the total time in the repair facility are shown to be of phase type. Several performance measures are evaluated. An optimization problem to determine the number of machines to be assigned to the server that will maximize the expected total profit per unit time is discussed. An illustrative numerical example is presented. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 462–480, 2003     

模同态广义逆的一些结果

设(U)为结合环(含单位元1),M为左(U)-模.本文考察模同态的广义逆,并用模同态的正则逆对模进行了分类,我们分别给出了直内射模,不可分解模及强不可分解模的充分必要条件.     

基于差分法的二阶微分方程的模糊边值问题

本文讨论二阶微分方程的两点边值具有模糊不确定性时 ,运用模糊仿真原理和差分方法 ,求其边值问题的数值解法。     

最大避障圆问题的提出与初探

提出了一个在有界区域内求对已知各障碍物的最大避障圆问题。首先给出此问题的数学描述,然后分析了当有界区域为圆域,并将各障碍物看成一个有限点集时,避障圆的基本性质,从而得到一种求最大避障圆的有效算法。     

快速解命中的一种有效方法

基于对命中函数的考察,提出了一种新的命中解解算方法,实际应用及仿真计算结果表明,该方法能明显提高解算精度和缩短迭代时间。     

两种选址问题的算法及有关结论

本文提出两种选址问题,对其局部最优性建立了充要条件,并在此基础上提出了该类问题的有效算法。