The one‐warehouse multiretailer problem with an order‐up‐to level inventory policy

We consider a two‐level system in which a warehouse manages the inventories of multiple retailers. Each retailer employs an order‐up‐to level inventory policy over T periods and faces an external demand which is dynamic and known. A retailer's inventory should be raised to its maximum limit when replenished. The problem is to jointly decide on replenishment times and quantities of warehouse and retailers so as to minimize the total costs in the system. Unlike the case in the single level lot‐sizing problem, we cannot assume that the initial inventory will be zero without loss of generality. We propose a strong mixed integer program formulation for the problem with zero and nonzero initial inventories at the warehouse. The strong formulation for the zero initial inventory case has only T binary variables and represents the convex hull of the feasible region of the problem when there is only one retailer. Computational results with a state‐of‐the art solver reveal that our formulations are very effective in solving large‐size instances to optimality. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

法学教学中案例教学法的反思与探索

法学是一门理论性与实践性都很强的学科,法学教育的目的在于为社会培养应用型、实践型的法律人才。传统上重理论轻实践的教学模式已无法满足这一要求,而科学合理地引入案例教学是弥补传统模式不足的有效手段。     

地铁火灾应急预案的制定

介绍地铁火灾发生时的几个主要的特点以及其巨大的危害性,引出了地铁火灾应急预案制定模式的重要性。通过对已有的资料进行研究、分析,同时结合实际,对地铁火灾应急预案制定时所包含的主要内容进行了科学的完善,得出了一个完整的预案制定模式。     

基于饱和信息维的信息资源聚焦的数学模型

运用饱和信息维的增减技术对信息获取子空间进行结构上的剖分,将饱和信息维的"值"的获取分解为"白"与"灰"两部分,用饱和信息维列作为因子列来构造灰色关联空间,用关联序来描述信息之间的相关联程度,得到信息资源聚焦的一种新的数学模型。     

中哈两国高等教育比较与反思

哈萨克斯坦在中亚五国中是经济实力最强的国家,对于我国,尤其是我国西部来说,具有不可忽视的影响。本文试图从教育规模、招生制度、教育投资及国际合作等方面对中哈两国高等教育发展状况进行比较分析,并对我国目前的教育现状作出反思,以期为中国高等教育的持续健康发展提供经验借鉴。     

一类二阶微分方程Poincaré分岔极限环的不存在性

讨论一类二阶微分方程x¨+εf(x,x.)x.+g(x)=0的Poincar分岔极限环的不存在性,利用一阶Mel’nikov函数直接从整体上进行分析讨论,得出了若干充分条件和判别准则。     

军事欺骗战法分析的数学方法-应用

针对军事欺骗战法定量分析困难的问题,采用基于贝叶斯统计推断和博弈均衡分析的数学方法,在理论上为解决此难题提供了一种可行的方法。该方法首先定义基本概率矩阵,然后根据贝叶斯原理为交战双方构造用于统计推断的主观概率矩阵,并在由两个主观概率矩阵元素构成的偏序链与实施军事欺骗机会之间建立对应关系,再将此关系推广到基本概率矩阵,即是否存在实施军事欺骗的机会将由基本概率矩阵元素构成的偏序链决定。对理论成果的初步应用表明：通过分析由战场情报信息构成的基本概率矩阵的偏序链,可以科学地运用军事欺骗和反军事欺骗战法。     

Dynamic signatures and their use in comparing the reliability of new and used systems

The signature of a system with independent and identically distributed (i.i.d.) component lifetimes is a vector whose ith element is the probability that the ith component failure is fatal to the system. System signatures have been found to be quite useful tools in the study and comparison of engineered systems. In this article, the theory of system signatures is extended to versions of signatures applicable in dynamic reliability settings. It is shown that, when a working used system is inspected at time t and it is noted that precisely k failures have occurred, the vector s [0,1]^n‐k whose jth element is the probability that the (k + j)th component failure is fatal to the system, for j = 1,2,2026;,n ‐ k, is a distribution‐free measure of the design of the residual system. Next, known representation and preservation theorems for system signatures are generalized to dynamic versions. Two additional applications of dynamic signatures are studied in detail. The well‐known “new better than used” (NBU) property of aging systems is extended to a uniform (UNBU) version, which compares systems when new and when used, conditional on the known number of failures. Sufficient conditions are given for a system to have the UNBU property. The application of dynamic signatures to the engineering practice of “burn‐in” is also treated. Specifically, we consider the comparison of new systems with working used systems burned‐in to a given ordered component failure time. In a reliability economics framework, we illustrate how one might compare a new system to one successfully burned‐in to the kth component failure, and we identify circumstances in which burn‐in is inferior (or is superior) to the fielding of a new system. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

Consecutive k‐within‐m‐out‐of‐n:F system with exchangeable components

As a generalization of k‐out‐of‐n:F and consecutive k‐out‐of‐n:F systems, the consecutive k‐within‐m‐out‐of‐n:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k‐within‐m‐out‐of‐n:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009     

RTW在某型直升机飞控系统半物理仿真中的应用

开发高性能可靠的飞控计算机是直升机研制的重要一步.在试飞之前,需要对飞控系统进行全面的仿真测试.基于Simulink的RTW工具箱和嵌入式VxWorks操作系统,提出一种进行飞控系统半物理仿真的方案.详细说明了仿真平台的组成、RTW的配置方法和生成实时仿真代码的过程.仿真时应用了RTW的外部模式,说明了其原理和具体配置方法.深入分析了RTW生成的目标文件中直升机模型信号量和参数的存取方式,并提出了一种可行的办法.最后给出仿真结果并验证了该方案的可行性,此方案已经应用于进一步的试飞工作中.