一类具有饱和发生率的离散型SIS传染病模型

研究一类具有饱和发生率的离散型SIS传染病模型,得到了模型的基本再生数.通过线性化的方法,运用LaSalle-Lyapunov定理,证明当基本再生数R01时,无病平衡点是全局渐近稳定的;通过迭代的方法,证明当基本再生数R01时,地方病平衡点是全局渐近稳定的.     

潜艇自航式诱饵组合使用方法

潜艇自航式诱饵组合使用方法的优劣主要评判依据是使用的方法最终使得潜艇对抗鱼雷成功的概率,对抗时间和诱骗距离是影响对抗成功概率的两个重要因素,它们又主要围绕发射时机、初始航向以及潜艇机动等几个问题展开。通过分析各个诱饵的作战使命,在一定态势下,根据诱饵的性能、鱼雷报警距离及舷角等各方面因素,建立大小口径声诱饵协同作战的弹道模型,并由此得到了诱饵发射时机、初始航向等参数。     

潜艇自航式诱饵组合使用研究

潜艇自航式诱饵组合使用方法的优劣主要评判依据是使用的方法最终使得潜艇对抗鱼雷成功的概率,对抗时间和诱骗距离是影响对抗成功概率的两个重要因素,它们又主要围绕发射时机、初始航向以及潜艇机动等几个问题展开。该文通过分析各个诱饵的作战使命,在一定态势下,根据诱饵的性能、鱼雷报警距离及舷角等各方面因素,建立大小口径声诱饵协同作战的弹道模型,并由此得到了诱饵发射时机、初始航向等参数。     

基于可靠性和兰彻斯特方程的装备损坏率预计方法

战时装备损坏率预计是确定保障力量需求和组织保障活动的前提。在分析装备损坏影响因素的基础上,依据可靠性理论及兰彻斯特方程,提出了一种新的战时装备损坏率预计方法。该方法将经验计算和模拟计算相结合,能够快速、客观地预测装备损坏情况,满足未来作战精确保障的要求。     

A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

We give necessary and sufficient conditions based on signatures to obtain distribution‐free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

关闭部分导航信号阻止区域授时对全球定位授时性能的影响分析

在导航战中,在区域范围内阻止对手使用授时服务可通过关闭战区目标点的所有可见卫星信号来实现.以关闭部分导航信号阻止区域授时服务为例,描述了阻止区域授时服务的导航信号关闭仿真流程,提出了定位授时性能评估方法,并就关f闭部分导航信号阻止区域授时服务对全球定位服务和授时服务产生的影响进行了分析讨论.仿真结果表明,关闭部分导航信...     

Traffic channeling under uncertain conversion rates on e-commerce platforms

Traffic is the lifeblood of every e-commerce platform. The question of how to channel traffic to merchants operating on a platform lies at the heart of platform management. We consider a platform on which two independent merchants sell their products. Merchants compete on inventory in the sense that some of the unmet demand at one merchant will spill over to the other. The platform channels traffic based on products' conversion rates to maximize the total sale on the platform. We show that traffic channeling plays three roles. First, it allows more efficient allocation of traffic; that is, the merchant with a high conversion rate is given a higher priority in receiving traffic. Second, it allows the platform to control demand spillover between the merchants to maximize total sales. The platform either facilitates or prevents demand spillover, depending on product substitutability. Third, traffic channeling intensifies competition between the merchants and hence increases the total inventory. More efficient allocation of traffic and the increase in inventory increase sales inequality between the merchants. In contrast, demand spillover decreases sales inequality. While the platform always benefits from traffic channeling, the merchants do not benefit when their products are moderately substitutable. Interestingly, when the two products are owned and sold by the same merchant, the opposite happens–traffic channeling always benefits the merchant but may hurt the platform. Our study provides a basis for informed discussions on how platforms should channel traffic in response to conversion rates, and how traffic channeling affects the welfare of merchants and platforms.