Nash bargaining over allocations in inventory pooling contracts

When facing uncertain demand, several firms may consider pooling their inventories leading to the emergence of two key contractual issues. How much should each produce or purchase for inventory purposes? How should inventory be allocated when shortages occur to some of the firms? Previously, if the allocations issue was considered, it was undertaken through evaluation of the consequences of an arbitrary priority scheme. We consider both these issues within a Nash bargaining solution (NBS) cooperative framework. The firms may not be risk neutral, hence a nontransferable utility bargaining game is defined. Thus the physical pooling mechanism itself must benefit the firms, even without any monetary transfers. The firms may be asymmetric in the sense of having different unit production costs and unit revenues. Our assumption with respect to shortage allocation is that a firm not suffering from a shortfall, will not be affected by any of the other firms' shortages. For two risk neutral firms, the NBS is shown to award priority on all inventory produced to the firm with higher ratio of unit revenue to unit production cost. Nevertheless, the arrangement is also beneficial for the other firm contributing to the total production. We provide examples of Uniform and Bernoulli demand distributions, for which the problem can be solved analytically. For firms with constant absolute risk aversion, the agreement may not award priority to any firm. Analytically solvable examples allow additional insights, e.g. that higher risk aversion can, for some problem parameters, cause an increase in the sum of quantities produced, which is not the case in a single newsvendor setting. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Technical note: Reexamination of all‐or‐none inspection policies in a supply chain with endogenous product quality

This note studies the optimal inspection policies in a supply chain in which a manufacturer purchases components from a supplier but has no direct control of component quality. The manufacturer uses an inspection policy and a damage cost sharing contract to encourage the supplier to improve the component quality. We find that all‐or‐none inspection policies are optimal for the manufacturer if the supplier's share of the damage cost is larger than a threshold; otherwise, the manufacturer should inspect a fraction of a batch. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

被动传感器融合检测系统的优化分布密度

被动传感器由于采用无源探测,而且制造成本低,体积小,在战场环境中将采用并配置大量的被动传感器来检测目标.不论是主动还是被动式传感器,在实际应用中均存在资源优化配置问题.针对被动传感器的具体应用模型,采取了若干合理近似,得到了在"OR"融合检测条件下,基于最大检测概率的被动传感器优化配置密度计算公式.     

基于改进协方差控制的传感器管理算法

针对传统的基于协方差控制的传感器管理算法使用全遍历方法所造成的计算量大,以及传感器切换频繁的问题,提出了一种基于改进协方差控制的传感器管理算法。该算法在每一时刻首先判断前一时刻所用传感器组是否能够满足目标跟踪需求,以滤波协方差与期望协方差的偏差作为参考,结合量纲变换和特征值求取,为协方差偏差矩阵经过量纲变换后得到的量纲一致阵的所有特征值设定一个精度阈值,然后判断滤波协方差是否满足期望,从而决定是否维持当前选择的传感器组。在目标作匀速、匀加速、协同转弯等多种场景下进行了算法性能测试分析,仿真结果表明,该算法不仅在大部分场景下满足目标跟踪精度,而且能够提高传感器管理算法的实时性,同时降低传感器的切换频率。     

新疆民俗数学文化探析

新疆民俗数学是具有鲜明民族特色、独特价值和丰富文化内涵的数学思想与思维方式的综合。新疆民俗数学较多地体现在用于造型和装饰的清真寺、民居、民族手工艺品等方面的几何纹饰上。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,分析其蕴含的数学知识和数学思想;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。     

兵棋推演：复杂系统管理的创新与实践

复杂系统性质决定了复杂系统管理的特殊性,而兵棋推演可以为复杂系统管理提供更加符合其特性的决策辅助支持。讨论了复杂系统的性质及其影响,研究了兵棋推演用于复杂系统管理的原因和方法,并结合战争兵棋推演,介绍了兵棋工程建设中系统研发、推演组织和工程管理方面的创新与实践问题。最后,给出了未来发展的趋势。     

机务保障要求到保障方案转换

首先以装备可靠性为依据,以任务要求中任务时间、出动飞机数量、任务可靠度等参数为约束,建立了保障资源的配置模型;在确定保障资源配置基础上再以保障任务时间为优化目标,建立保障任务调度模型和调度算法,按照保障专业调度优化,为保障方案制定奠定了重要基础,对实行精确化保障有重要现实意义,对基层级的保障工作有很强的指导作用。     

基于规则的动态频谱接入研究

动态频谱接入面临的关键技术之一是对接入时机和方式进行有效地管控,防止由于频谱的接入使用过于灵活造成用频的干扰和混乱。将频谱接入的时间和方式给予规则上的约束和指导,基于规则构建动态频谱管理框架可以有效实现频谱的实时管控。对动态频谱接入的规则及表述方式进行了讨论,分析了基于规则的动态频谱接入过程,最后结合美军XG项目的试验结果分析了基于规则的动态频谱接入的应用前景。     

基于增强现实的装备诱导维修系统设计与实现

针对目前装备维修过程中存在的复杂度高、上手慢和安全性低等问题,构建了一个诱导维修原型系统,并围绕增强现实关键技术阐述了诱导维修系统的设计与实现;采用了模块化设计方法,通过分析诱导维修系统设计需求,对系统所需要的各个功能模块进行了设计,并且使得系统的维修任务能够根据维修对象的改变在框架不变的前提下得到修改或升级;利用该原型系统对发动机活塞环和离合器片更换两项维修任务进行了诱导,验证了系统的功能。     

A note on “resource flexibility with responsive pricing”

We revisit the capacity investment decision problem studied in the article “Resource Flexibility with Responsive Pricing” by Chod and Rudi [Operations Research 53, (2005) 532–548]. A monopolist firm producing two dependent (substitutable or complementary) products needs to determine the capacity of one flexible resource under demand risk so as to maximize its expected profit. Product demands are linear functions of the prices of both products, and the market potentials are random and correlated. We perform a comparative statics analysis on how demand variability and correlation impact the optimal capacity and the resulting expected profit. In particular, C&R study this problem under the following assumptions/approximations: (i) demand intercepts follow a bivariate Normal distribution; (ii) demand uncertainty is of an additive form; (iii) and under approximate expressions for the optimal capacity and optimal expected profit. We revisit Propositions 2, 3, 4, 5, and 10 of C&R without these assumptions and approximations, and show that these results continue to hold (i) for the exact expressions for the optimal expected profit and optimal capacity, and (ii) under any arbitrary continuous distribution of demand intercepts. However, we also show that the additive demand uncertainty is a critical assumption for the C&R results to hold. In particular, we provide a case of multiplicative uncertainty under which the C&R results (Propositions 2 and 3) fail. © 2010 Wiley Periodicals, Inc. Naval Research Logistics 2010