Capacity expansion and cost efficiency improvement in the warehouse problem

The warehouse problem with deterministic production cost, selling prices, and demand was introduced in the 1950s and there is a renewed interest recently due to its applications in energy storage and arbitrage. In this paper, we consider two extensions of the warehouse problem and develop efficient computational algorithms for finding their optimal solutions. First, we consider a model where the firm can invest in capacity expansion projects for the warehouse while simultaneously making production and sales decisions in each period. We show that this problem can be solved with a computational complexity that is linear in the product of the length of the planning horizon and the number of capacity expansion projects. We then consider a problem in which the firm can invest to improve production cost efficiency while simultaneously making production and sales decisions in each period. The resulting optimization problem is non‐convex with integer decision variables. We show that, under some mild conditions on the cost data, the problem can be solved in linear computational time. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 367–373, 2016     

Stochastic regret minimization for revenue management problems with nonstationary demands

We study an admission control model in revenue management with nonstationary and correlated demands over a finite discrete time horizon. The arrival probabilities are updated by current available information, that is, past customer arrivals and some other exogenous information. We develop a regret‐based framework, which measures the difference in revenue between a clairvoyant optimal policy that has access to all realizations of randomness a priori and a given feasible policy which does not have access to this future information. This regret minimization framework better spells out the trade‐offs of each accept/reject decision. We proceed using the lens of approximation algorithms to devise a conceptually simple regret‐parity policy. We show the proposed policy achieves 2‐approximation of the optimal policy in terms of total regret for a two‐class problem, and then extend our results to a multiclass problem with a fairness constraint. Our goal in this article is to make progress toward understanding the marriage between stochastic regret minimization and approximation algorithms in the realm of revenue management and dynamic resource allocation. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 433–448, 2016     

例析新疆民俗数学与课程资源开发

新疆民俗数学是新疆各少数民族在长期的发展过程中,通过其独特的生产和生活方式创造、积累和传承下来的,具有鲜明民族特色和宗教内涵的数学文化以及独特的数学思想和思维方式.对于民俗数学的研究,一方面是通过对这些集数学知识与传统文化于一体的“文化载体”的搜集、整理和分析,以实现保护和传承之目的;另一方面则关注民俗数学研究成果的教育学转化,在充分考虑新疆少数民族儿童数学认知思维特征以及数学双语教学原则、方法等的基础上,通过实现民俗数学的“课程化”,以弥补当前新疆少数民地区以“主流文化”为主导的数学课程对少数民族传统文化的“缺失”,进而推进本地区基础教育课程改革和数学教育质量的提升.文章以新疆清真寺砖饰中的几何纹饰为例,就上述两方面的问题进行了论证.     

基于改进 Gerstner 波的岛礁近岸波浪实时仿真?

为了实现岛礁附近波浪实时仿真,结合 Gerstner 波和水波动力学知识,提出了一种能够模拟波浪卷曲和折射绕射现象的波浪建模与绘制方法。首先,建立 Gerstner 波参数随水深变化关系,构建模拟波浪卷曲过程的几何模型;然后,定义岛礁地形对波浪传播的阻障和遮挡系数,并据此修正波浪传播的波向和波高,实现折射和绕射现象的仿真;最后,应用着色器缓存技术完成计算的硬件加速,并构建了基于视点的波浪传播多分辨率绘制策略。实验结果表明,该方法对波浪的卷曲和折射绕射现象取得了较好的仿真效果,绘制效率能够满足实时性要求。     

考虑后大架铰接间隙的火炮动力学特性仿真

针对某型火炮大修时,普遍存在后大架连接孔明显增大的现实问题,基于ADAMS软件和接触变形模型,研究了参数化含间隙机械式销-孔连接铰的建模方法,建立了考虑后大架铰接间隙的参数化火炮虚拟样机并进行了VVA验证。基于该模型仿真分析了发射时后大架铰接间隙对炮口扰动和铰接接触力的影响,研究了左右大架不同间隙水平对炮口扰动的交互影响。研究结果表明:后大架间隙的增大恶化了铰链间的受力,增大了火炮的横向散布,但对纵向散布影响较小。     

舰艇感应磁场补偿多目标优化设计方法研究

针对现有单一目标优化存在的多目标无法兼顾导致非优化目标劣化的问题,提出了基于差异进化算法的多目标优化设计方法。首先,建立了以上方峰值最小、下方峰值最小、下方磁场梯度最小为目标的消磁绕组来调整多目标函数;然后,分别完成了以上、下方峰值同时最小,上、下方峰值及下方磁场均方根值同时最小为控制目标的设计验证。结果表明:该方法能快速得到满足不同战术指标的消磁绕组电流配置,供决策者按照自己的意图从中选择适合实际需要的满意方案。     

130 nm加固SOI工艺的抗辐射控制芯片设计

针对航天电子系统控制模块对集成电路的抗辐射需求,在130 nm部分耗尽绝缘体上硅(Silicon-On-Insulator,SOI)工艺平台上设计了一款基于比例、积分、微分控制算法的控制芯片,并分别从晶圆材料、制备工艺、版图设计的角度对芯片进行了总剂量辐射加固。流片测试结果表明,芯片的调节精度达到了5×10~(-12),与进口抗辐射现场可编程门阵列水平相当;在长时间频率稳定度方面,芯片优于国外抗辐射现场可编程门阵列。对芯片进行的模拟辐照试验表明,芯片在300 krad(Si)的总剂量辐照条件下依然可以正常工作。     

考虑弹体动态特性的非奇异有限时间制导律

为满足导弹拦截机动目标时交会角约束和有限时间收敛的需求,建立了考虑弹体一阶动态特性的制导模型。把目标加速度视为有界外界干扰,同时结合非线性反步设计法中的动态面法,设计一种考虑弹体动态延迟的非奇异滑模制导律,并且证明了基于Lyapunov稳定性理论制导系统状态可渐进收敛到零。在所设计的制导律下,对单侧机动的低空高速目标进行仿真。仿真结果表明所设计的非奇异制导律可以有效降低弹体动态延迟带来的影响,而且具有较低的脱靶量与交会角误差;与考虑弹体动态特性和交会角约束的最优导引律相比,其具有更高的制导精度。     

以多元智能理论为指导的大学英语教学模式探析

由美国发展心理学家、哈佛大学研究生院心理学教授霍华德·加德纳于1983年提出的多元智能理论,对外语教学的革新提供了新的视角。该理论与外语学科关系密切,其内涵比任何一种教学法都更加丰富。发展学生的多元智能,已经成为21世纪外语教学的一种趋势。多元智能理论指导下的大学英语教学模式,对发展现代大学英语教学具有现实意义。     

甚低频动态调谐天线性能

将最小移频键控(MSK)信号分解成包含"空号"和"传号"两个频率两电平正交调幅(2QAM)信号,推导了MSK信号的"空号"频率和"传号"频率分别通过甚低频发射天线固定调谐系统和动态调谐系统的功率谱表达式,计算了不同码元速率情况下甚低频发射天线固定调谐系统和动态调谐系统的匹配系数和天线有效带宽。计算结果表明:动态调谐方法可改善天线的匹配性能,增加天线系统的有效带宽,从而可提高甚低频发射天线容许的通信速率。