A partial characterization of the optimal ordering/rationing policy for a periodic review system with two demand classes and backordering

We consider a finite horizon periodic review, single product inventory system with a fixed setup cost and two stochastic demand classes that differ in their backordering costs. In each period, one must decide whether and how much to order, and how much demand of the lower class should be satisfied. We show that the optimal ordering policy can be characterized as a state dependent (s,S) policy, and the rationing structure is partially obtained based on the subconvexity of the cost function. We then propose a simple heuristic rationing policy, which is easy to implement and close to optimal for intensive numerical examples. We further study the case when the first demand class is deterministic and must be satisfied immediately. We show the optimality of the state dependent (s,S) ordering policy, and obtain additional rationing structural properties. Based on these properties, the optimal ordering and rationing policy for any state can be generated by finding the optimal policy of only a finite set of states, and for each state in this set, the optimal policy is obtained simply by choosing a policy from at most two alternatives. An efficient algorithm is then proposed. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

一种改进的空袭目标威胁等级评估模型

量化判定空袭目标威胁等级是数字化战场信息融合的重要内容,也是未来联合防空作战中指挥决策系统合理分配作战资源的基本依据。但是,空袭目标威胁等级的评判标准至今尚未统一,本文首先使用AHP法建立空袭目标威胁等级层次分析模型,针对AHP法构建成对比较矩阵过于繁琐及各指标权重难以把握的弊端,只针对层次分析模型最下层的相关指标进行分析并提出量化方法,随后根据量化数值直接构建判断矩阵,并结合DELPHI法给出诸项评估指标的权重。最后,通过实例验证了该模型的有效性和准确性。     

Performance analysis of queue length monitoring of M/G/1 systems

This study investigates the statistical process control application for monitoring queue length data in M/G/1 systems. Specifically, we studied the average run length (ARL) characteristics of two different control charts for detecting changes in system utilization. First, the nL chart monitors the sums of successive queue length samples by subgrouping individual observations with sample size n. Next is the individual chart with a warning zone whose control scheme is specified by two pairs of parameters, (upper control limit, d_u) and (lower control limit, d_l), as proposed by Bhat and Rao (Oper Res 20 (1972) 955–966). We will present approaches to calculate ARL for the two types of control charts using the Markov chain formulation and also investigate the effects of parameters of the control charts to provide useful design guidelines for better performance. Extensive numerical results are included for illustration. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Dynamic inventory and pricing models for competing retailers

We address infinite‐horizon models for oligopolies with competing retailers under demand uncertainty. We characterize the equilibrium behavior which arises under simple wholesale pricing schemes. More specifically, we consider a periodic review, infinite‐horizon model for a two‐echelon system with a single supplier servicing a network of competing retailers. In every period, each retailer faces a random demand volume, the distribution of which depends on his own retail price as well as those charged by possibly all competing retailers. We also derive various comparative statics results regarding the impact several exogenous system parameters (e.g., cost or distributional parameters) have on the equilibrium decisions of the retailers as well as their expected profits. We show that certain monotonicity properties, engrained in folklore as well as in known inventory models for centralized systems, may break down in decentralized chains under retailer competition. Our results can be used to optimize the aggregate profits in the supply chain (i.e., those of the supplier and all retailers) by implementing a specific wholesale pricing scheme. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

解析法区域覆盖卫星星座设计

对典型卫星星座进行了分析。使用解析方法,以卫星载荷的工作高度范围为约束条件,以有效利用卫星覆盖区域为原则,给出设计区域覆盖卫星星座的详细步骤,得出卫星轨道根数和星座轨道参数。利用卫星工具包(STK)生成卫星星座图。     

基于模糊层次分析法的非致命弹药安全管理系统评价

针对非致命弹药安全管理评估方面的空白,采用模糊层次分析法（FAHP）,从宏观上对非致命弹药安全管理系统进行评价。通过分析影响非致命弹药安全管理水平的因素,建立系统综合评价指标。分别建立不同指标间的模糊一致判断矩阵,确定隶属函数、权重值,最后得出定量评判结果,确定非致命弹药安全管理系统等级,对非致命弹药安全管理提供理论依据。     

AHP法在舰空导弹作战通道分析中的应用

层次分析法(AHP)是一种简便、灵活而又实用的多准则决策的系统分析方法。运用该分析方法对舰空导弹武器各作战通道的性能进行综合分析,其中在对决策矩阵进行计算时,使用了三种不同的效用函数对方案层的各项指标进行了量化,最后得出了各作战通道的综合价值,此值可为指挥员决策提供参考。计算结果表明该方法用于作战通道评价是切实可行的。     

基于属性的舰载机航材备件品种确定方法

航材备件品种确定是舰载机供应保障工作的重要内容。基于属性对舰载机航材备件品种确定进行研究。基于粗糙集理论对属性集进行属性约简,确定航材备件品种确定的主要影响属性,然后基于属性约简进行航材备件品种确定。给出了单属性、顺次属性和多属性的品种决策方法。最后结合实例进行了应用分析。     

要地防空指挥控制系统作战效能灰色聚类评估

建立要地防空指挥控制系统作战效能评估指标体系,运用层次分析法确定各层次指标权重,提出了一种基于灰色定聚类和中心点三角白化权函数的要地防空指挥控制系统作战效能灰色聚类评估方法,并通过算例对该方法的有效性进行了检验。结果表明该方法是切实可行的。     

目标毁伤效果评估技术研究进展

目标毁伤效果评估作为目标保障的一项重要内容,对精确打击作战情报保障起到了核心作用,是现代精确打击体系的一个重要环节和关键步骤。文章从评估方法、评估模型和评估系统三个方面入手,梳理了国内外目标毁伤效果评估技术的最新研究进展,并对目前各类评估方法、模型及系统的优缺点分别进行了评述。最后,指出了该领域今后的研究方向。