基于创新人才培养的高等代数教学改革探析

高等代数作为高师院校数学与应用专业学生的一门专业基础课,它对于训练学生的数学思维、培养学生的数学素养具有重要作用。文章结合当前高等代数教学中存在的一些问题,基于创新人才的培养,具体从培养学生学习兴趣、培养学生问题意识、培养学生的数学基础能力以及创新能力、加强高等代数与解析几何、近世代数课程的联系、倡导学生学习评价的多元化等多个方面进行了高等代数课程教学改革的探索。     

卫星在役考核相关问题研究

各类卫星在现代战争中发挥着重要和关键作用。我国传统的卫星试验和鉴定具有很强的科研试验性质,承制单位和用户重点关注的是性能检验,较少考虑作战效能和部队适用性等指标。为推动卫星装备建设和应用,装备试验鉴定部门初步组织开展了相应的在役考核工作。文章对比了美军装备作战试验与鉴定、我国作战试验与在役考核的概念;提出卫星在役考核的六大特点;分析卫星在役考核的组织方式、组织机构和组织保障的不足,提出相应发展建议;研究卫星在役考核指标体系设计、分析评估方法、问题反馈与整改等方面的不足,并提出相应措施建议。     

A balancing problem for mixed model assembly lines with a paced moving conveyor

We state a balancing problem for mixed model assembly lines with a paced moving conveyor as: Given the daily assembling sequence of the models, the tasks of each model, the precedence relations among the tasks, and the operations parameters of the assembly line, assign the tasks of the models to the workstations so as to minimize the total overload time. Several characteristics of the problem are investigated. A line‐balancing heuristic is proposed based on a lower bound of the total overload time. A practical procedure is provided for estimating the deviation of any given line‐balance solution from the theoretical optimum. Numerical examples are given to illustrate the methodology. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

利用几何结构求解欧氏平面TSP的改进遗传算法

TSP是经典的组合优化问题。根据欧氏平面TSP最优环路的性质提出了子路径及相关的概念,利用点集凸壳设计了环路构造算法,并以点集Delaunay三角剖分图为启发信息设计了改进的遗传算法,通过中国144城市TSP等验证了算法的有效性。     

一类具变号非线性项和p-Laplacian算子的仇点·边值问题的多个正解

研究一类具Laplacian算子的m点边值问题（Ф（u＇））＇＋q（t）f（t,u）=0,0〈t〈1,u（0）=^m-2∑i=1aiu（ζi）,u＇（1）=βu＇（0）.利用锥上的不动点指数定理,对上述具有变号的非线性项的边值问题进行研究,得到多个正解存在的充分条件．     

基于安全库存的战时应急弹药储备库选址建模研究

为了更好适应战时弹药需求的不确定性,必须做好对战时应急保障系统的管理工作,应急弹药储备库的选址问题就是应急保障系统的关键环节．首先依据战时弹药需求特点,从库存策略的角度出发,引入安全库存概念;其次,建立了以建设成本和运输总距离为目标函数的战时应急弹药储备库选址模型;最后,运用Matlab对模型进行了仿真,验证了该模型的有效性．     

基于分段连续推力的中途修正方法(英文)

基于小偏差理论,对无摄三体动力学方程沿标称轨道线性化,推导了三体动力模型的误差线性模型。在此基础上,进一步利用该最优控制方法推导了转移轨道周期内的连续小推力控制方案,验证了控制加速度及状态量的收敛。同时针对整周期控制方式在超调后状态量收敛速度慢的问题,通过分段连续推力控制模式(Segm en ta l Con tinuous T hrust Con tro l,SCTC)来近似瞬时脉冲推力控制模式,并给出了最短分段控制时间的计算方法。实验表明,SCTC模式加快了轨道状态的收敛速度。对于km级入轨偏差,通过1次控制即可使实际轨道收敛至标称轨道。     

蚁群算法在车辆巡回保障中的应用研究

应用蚁群算法（ACA）解决车辆巡回保障问题，建立了车辆巡回保障优化数学模型，对轨迹更新规则进行了重新设定，给出了算法的实现步骤。通过算例分析，将计算结果与遗传算法（GA）和粒子群算法（PSO）作了比较，对模型和算法的正确性、高效性和适用性进行了验证。实验结果表明，该算法可以快速、有效求得车辆巡回保障的优化解，得到车辆巡回保障过程中的较优方案。     

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     

Optimal outbound dispatch policies: Modeling inventory and cargo capacity

In this paper, we present an optimization model for coordinating inventory and transportation decisions at an outbound distribution warehouse that serves a group of customers located in a given market area. For the practical problems which motivated this paper, the warehouse is operated by a third party logistics provider. However, the models developed here may be applicable in a more general context where outbound distribution is managed by another supply chain member, e.g., a manufacturer. We consider the case where the aggregate demand of the market area is constant and known per period (e.g., per day). Under an immediate delivery policy, an outbound shipment is released each time a demand is realized (e.g., on a daily basis). On the other hand, if these shipments are consolidated over time, then larger (hence more economical) outbound freight quantities can be dispatched. In this case, the physical inventory requirements at the third party warehouse (TPW) are determined by the consolidated freight quantities. Thus, stock replenishment and outbound shipment release policies should be coordinated. By optimizing inventory and freight consolidation decisions simultaneously, we compute the parameters of an integrated inventory/outbound transportation policy. These parameters determine: (i) how often to dispatch a truck so that transportation scale economies are realized and timely delivery requirements are met, and (ii) how often, and in what quantities, the stock should be replenished at the TPW. We prove that the optimal shipment release timing policy is nonstationary, and we present algorithms for computing the policy parameters for both the uncapacitated and finite cargo capacity problems. The model presented in this study is considerably different from the existing inventory/transportation models in the literature. The classical inventory literature assumes that demands should be satisfied as they arrive so that outbound shipment costs are sunk costs, or else these costs are covered by the customer. Hence, the classical literature does not model outbound transportation costs. However, if a freight consolidation policy is in place then the outbound transportation costs can no longer be ignored in optimization. Relying on this observation, this paper models outbound transportation costs, freight consolidation decisions, and cargo capacity constraints explicitly. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 531–556, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10030