Oligopolistic contracting: Channel coordination under competition

We study contracts between a single retailer and multiple suppliers of two substitutable products, where suppliers have fixed capacities and present the retailer cost contracts for their supplies. After observing the contracts, the retailer decides how much capacity to purchase from each supplier, to maximize profits from the purchased capacity from the suppliers plus his possessed inventory (endowment). This is modeled as a noncooperative, nonzero‐sum game, where suppliers, or principals, move simultaneously as leaders and the retailer, the common agent, is the sole follower. We are interested in the form of the contracts in equilibrium, their effect on the total supply chain profit, and how the profit is split between the suppliers and the retailer. Under mild assumptions, we characterize the set of all equilibrium contracts and discuss all‐unit and marginal‐unit quantity discounts as special cases. We also show that the supply chain is coordinated in equilibrium with a unique profit split between the retailer and the suppliers. Each supplier's profit is equal to the marginal contribution of her capacity to supply chain profits in equilibrium. The retailer's profit is equal to the total revenue collected from the market minus the payments to the suppliers and the associated sales costs.     

机械状态振动烈度监测方法研究

介绍了振动标准和振动测量的基本现状,分析了振动烈度的时域和频域计算方法,后者对信号类型的适用性强,对计算频率范围的选择灵活,避免了利用微积分进行信号类型转换和滤波等复杂处理,通过实例给出了应用振动烈度监测机械设备状态的注意事项。     

Constant risk aversion in stochastic contests with exponential completion times

This article analyzes a class of stochastic contests among multiple players under risk‐averse exponential utility. In these contests, players compete over the completion of a task by simultaneously deciding on their investment, which determines how fast they complete the task. The completion time of the task for each player is assumed to be an exponentially distributed random variable with rate linear in the player's investment and the completion times of different players are assumed to be stochastically independent. The player that completes the task first earns a prize whereas the remaining players earn nothing. The article establishes a one‐to‐one correspondence between the Nash equilibrium of this contest with respect to risk‐averse exponential utilities and the nonnegative solution of a nonlinear equation. Using the properties of the latter, it proves the existence and the uniqueness of the Nash equilibrium, and provides an efficient method to compute it. It exploits the resulting representation of the equilibrium investments to determine the effects of risk aversion and the differences between the outcome of the Nash equilibrium and that of a centralized version.© 2016 Wiley Periodicals, Inc. Naval Research Logistics 66:4–14, 2019     

基于CLOUD-TFN-AHP-α的健康状态评估方法

针对复杂装备维修管理中仅以部件的技术状态确定系统状态的不足,构建基于CLOUD-TFN-AHP-α的系统级健康状态评估框架。在此基础上,首先研究基于系统健康度概念的健康状态等级量化描述方法;然后运用云模型评估子系统健康状态,借助TFN-AHP评估系统健康状态,最后采用惩罚函数修正评估结果。以期为获得合理、准确的复杂装备健康状态提供定量依据。     

一类非线性动力系统的定性分析

研究2种生物种群在一段时间内是否可以相互生存,有着重要的现实意义。为了获得这方 面的有关结果,本文运用微分方程的稳定性理论,详尽地讨论了一类非线性动力系统模型平衡点的类型, 并进一步给出了该系统极限环的不存在性,从而得到系统的共存性。     

一类流行病动力学模型的稳定性研究

本文建立了一类流行病动力学的S-I-D-S模型，讨论了该模型的无病平衡点的全局稳定性及有病平衡点的局部稳定性。     

不同边界条件下水下爆炸气泡的数值模拟

采用有限元程序MSC.Dytran对不同边界条件下水下爆炸气泡的脉动过程进行了数值模拟。对数值模拟中的一些重要问题,如炸药药包的建模、网格密度、状态方程和静压力场的设定等问题进行了探讨。对无限水域中的水下爆炸气泡以及自由面边界、水平刚性面边界和垂直刚性面边界三种边界条件下的水下爆炸气泡进行了数值模拟,分析了水下爆炸气泡的半径、外形变化、气泡脉动压力、流场中的速度分布,结果发现边界的存在对气泡外形的影响较大,刚性边界面会使气泡脉动压力增大较多,而自由面边界对气泡脉动压力的影响较小。将数值模拟的结果与理论模型、经验公式和试验结果进行了比较分析,结果吻合较好。     

指标融合和隐马尔可夫模型的舰船装备技术状态评估

科学合理的技术状态评估技术是保障舰船安全性和任务完好性的有效途径之一,针对目前舰船装备技术状态评估缺乏动态性以及评估指标过多的问题,构建舰船装备技术状态多指标融合模型,结合技术状态评估指标融合模型和隐马尔可夫模型所具有双随机性和严谨数学推理能力的特点,建立基于指标融合模型和隐马尔可夫模型的舰船装备技术状态动态评估模型。最后通过案例分析验证了所提出的方法能够有效体现技术状态评估中的动态性,为舰船装备技术状态评估提供新的途径。     

李雅普诺夫运动稳定性与平衡状态稳定性的关系

稳定性是系统分析的重要内容 ,针对在系统稳定性分析中 ,运动稳定性和平衡状态稳定性之间常易于混淆的问题 ,详细分析了两种稳定性之间内在本质联系 ,给出了从一种稳定性过渡到另一种稳定性的方法     

通用装备机械液压系统综合检测试验平台的设计与研制

针对目前通用装备保障建设过程中存在的保障设备通用性差、综合功能弱、机动性能差及信息化程度低等问题,提出了"划类分组、综合集成、一体通用"的设计思想,研制了可完成军械、装甲、工程、防化、车辆、陆军船艇等装备机械液压系统技术状况检测与评估、故障诊断、部(元)件修后试验与质量评估、信息管理等功能的综合机动平台。重点阐述了平台各系统的设计思想、硬件组成及软件框架。实际应用表明,该平台具有"广谱"、"广域"和"全时"的能力,其推广使用将为通用装备保障由"基于型号"向"基于能力"的建设转型提供成功示范。