脉冲微分方程边值问题的全局分支与多解性

研究非线性脉冲微分方程边值问题,应用分歧技巧,得到非线性脉冲微分方程边值问题多个解的存在性结果.     

一种基于低扩散通量分裂方法的WENO格式研究

将低扩散通量分裂格式(LDFSS)和加权基本无振荡格式(WENO)相结合,构造出一种混合格式,其中WENO格式用于物理量重构,而LDFSS用于通量分裂。采用这种格式对Riemann问题、钝头体高超声速无粘绕流流场进行了计算,并对超声速平板湍流边界层进行了混合LES/RANS模拟,计算结果表明:相对于采用Lax-Fridrichs分裂的WENO格式来说,这种混合格式对于激波和接触间断的分辨率更高,并且在标量保正性方面更优,收敛性更好;而相对于采用带有Minmod限制器的MUSCL方法进行物理量高阶重构的LDFSS格式来说,这种混合格式在混合模拟的计算中能够更好地反映湍流流场的脉动特性,计算得到的湍流速度脉动量的统计值更加准确。     

Resource allocation with lumpy demand: To speed or not to speed?

In the classical EPQ model with continuous and constant demand, holding and setup costs are minimized when the production rate is no larger than the demand rate. However, the situation may change when demand is lumpy. We consider a firm that produces multiple products, each having a unique lumpy demand pattern. The decision involves determining both the lot size for each product and the allocation of resources for production rate improvements among the products. We find that each product's optimal production policy will take on only one of two forms: either continuous production or lot‐for‐lot production. The problem is then formulated as a nonlinear nonsmooth knapsack problem among products determined to be candidates for resource allocation. A heuristic procedure is developed to determine allocation amounts. The procedure decomposes the problem into a mixed integer program and a nonlinear convex resource allocation problem. Numerical tests suggest that the heuristic performs very well on average compared to the optimal solution. Both the model and the heuristic procedure can be extended to allow the company to simultaneously alter both the production rates and the incoming demand lot sizes through quantity discounts. Extensions can also be made to address the case where a single investment increases the production rate of multiple products. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

消防电气施工图审查中几个值得探讨的问题

由于对规范的不同认识和理解,设计中对同一问题常常出现不同的设计方案和方法。针对在日常消防电气施工图审查中发现的关于消防电源、消防应急照明的专用供电回路、手动直接控制、高层住宅底部商业网点火灾自动报警系统设置等方面存在的问题,提出自己的看法。     

Allocating capacity in parallel queues to improve their resilience to deliberate attack

We develop models that lend insight into how to design systems that enjoy economies of scale in their operating costs, when those systems will subsequently face disruptions from accidents, acts of nature, or an intentional attack from a well‐informed attacker. The systems are modeled as parallel M/M/1 queues, and the key question is how to allocate service capacity among the queues to make the system resilient to worst‐case disruptions. We formulate this problem as a three‐level sequential game of perfect information between a defender and a hypothetical attacker. The optimal allocation of service capacity to queues depends on the type of attack one is facing. We distinguish between deterministic incremental attacks, where some, but not all, of the capacity of each attacked queue is knocked out, and zero‐one random‐outcome (ZORO) attacks, where the outcome is random and either all capacity at an attacked queue is knocked out or none is. There are differences in the way one should design systems in the face of incremental or ZORO attacks. For incremental attacks it is best to concentrate capacity. For ZORO attacks the optimal allocation is more complex, typically, but not always, involving spreading the service capacity out somewhat among the servers. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

锥形量热仪在阻燃材料研究中的应用

锥形量热仪在阻燃材料研究中可以研究阻燃机理、阻燃剂在材料中的阻燃效果,评价阻燃材料的燃烧性和阻燃性以及烟和毒气的释放。     

关于湖南衡阳“11·3”特大火灾坍塌事故几个重要问题的研究

针对社会上对衡阳"11·3"事故提出的一些疑问或传言,根据参加此次事故搜救、调查工作所得的一些结论,论述了关于"11·3"特大事故灭火救援的几个问题,对"衡州大厦"的合法性及质量问题提出质疑,并从中得到几点启示.     

数学物理反演问题

介绍数学物理反演问题的概念、由来、历史、分类和特点。     

关于大型线性规划问题鞍点算法的讨论

关于大型线性规划问题鞍点算法的讨论尚毅,张国光,成孟金（沈阳化工学院１１００２１）ＡＤｉｓｃｕｓｓｉｏｎｏｆｔｈｅＳａｄｄｌｅＰｏｉｎｔＡｌｇｏｒｉｔｈｍｆｏｒＬａｒｇｅＳｃａｌｅＬＰＰｒｏｂｌｅｍｓ￥ＳｈａｎｇＹｉ;ＺｈａｎｇＧｕｏｇｕａｎｇ;Ｃｈ...     

巨型机求解大型稀疏问题的Krylov子空间法

求解大型稀疏问题最流行的方法是建立在子空间投影技术之上的。这类方法的主要吸引力是仅需要使用矩阵向量乘法。我们给出PCG、GMRES、Lanczos和Davidson算法及在YH-I上的实现,然后比较每一方法的优缺点,并尽可能讨论其并行执行。