关于收缩算子的异步迭代收敛性

论证了Ｆ为收缩算子时,求解Ｘ＝Ｆ（Ｘ）的异步迭代方法初值选取范围,提出了异步迭代的大范围收敛方法。     

具有集值H-半-伪单调映射的广义向量变分不等式解的存在性

首先推广向量集值半一单调映射到向量集值H-半-伪单调映射,然后利用Kakutani—Fan—Glicksberg不动点定理,研究了具有集值H-半-伪单调映射的广义向量t变分不等式问题,在自反Banach空间中得到了两个存在性结果。     

Determination of suppliers' optimal quantity discount schedules with heterogeneous buyers

Although the quantity discount problem has been extensively studied in the realm of a single supplier and a single buyer, it is not well understood when a supplier has many different buyers. This paper presents an analysis of a supplier's quantity discount decision when there are many buyers with different demand and cost structures. A common discrete all‐unit quantity discount schedule with many break points is used. After formulating the model, we first analyze buyers' responses to a general discrete quantity discount schedule. This analysis establishes a framework for a supplier to formulate his quantity discount decision. Under this framework, the supplier's optimal quantity discount schedule can be formulated and solved by a simple non‐linear programming model. The applicability of the model is discussed with an application for a large U.S. distribution network. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 46–59, 2002; DOI 10.1002/nav.1052     

红外系统探测巡航导弹的方法研究

从国外红外探测系统在巡航导弹探测以及应用方面的现状出发,分析了巡航导弹的红外特性和远距离条件下的成像特征,估算了红外探测系统对点目标作用距离。提出用并行差分滤波器去除背景,用逻辑与剔除噪声,用递归方法累积目标轨迹的算法。实验结果与分析表明基于差分基础上的逻辑与方法对速率>0.2像素/帧的目标具有较好的检测效果。     

指令制导防空炮弹启控点参数的确定方法

简要阐述了指令制导防空炮弹有控弹道控制模式,建立了鸭舵控制力和控制力矩作用下的有控弹道模型,研究了弹丸理想启控姿态和启控位置的确定方法,得到了确定理想启控位置的启控函数.数值仿真结果表明,该启控函数简单、快速,具有较高精度,易于计算机程序实现,弹丸有控弹道也可保持飞行稳定.研究结果对今后深入展开指令制导防空炮弹的研究和工程设计具有一定的参考意义.     

一类比率型捕食系统的定性分析

研究一类比率型捕食者-食饵模型dxdt=x(a-bx)-x2c+x2myy2dydt=y(-r+x2d+xm2y2),应用微分方程定性理论,得出该系统极限环的存在性与正平衡点的全局渐近稳定性的充分条件。     

Sensor placement in active multistatic sonar networks

The idea of deploying noncollocated sources and receivers in multistatic sonar networks (MSNs) has emerged as a promising area of opportunity in sonar systems. This article is one of the first to address point coverage problems in MSNs, where a number of points of interest have to be monitored in order to protect them from hostile underwater assets. We consider discrete “definite range” sensors as well as various diffuse sensor models. We make several new contributions. By showing that the convex hull spanned by the targets is guaranteed to contain optimal sensor positions, we are able to limit the solution space. Under a definite range sensor model, we are able to exclude even more suboptimal solutions. We then formulate a nonlinear program and an integer nonlinear program to express the sensor placement problem. To address the nonconvex single‐source placement problem, we develop the Divide Best Sector (DiBS) algorithm, which quickly provides an optimal source position assuming fixed receivers. Starting with a basic implementation of DiBS, we show how incorporating advanced sector splitting methods and termination conditions further improve the algorithm. We also discuss two ways to use DiBS to find multiple source positions by placing sensors iteratively or simultaneously. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 287–304, 2017     

基于理想点的指挥自动化系统不确定多属性效能评估

针对防空旅(团)指挥自动化系统效能评估中,其属性权重完全未知或只知大致范围的特点,给出2种基于理想点的不确定多属性效能评估模型,通过对模型的求解,可获得属性权重,进而对这种不确定性系统效能进行评估.该模型符合防空指挥自动化系统效能复杂性和人们思维的模糊性,为解决此类问题提供了新的途径和方法.实例证明,该模型简单有效.     

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     

静水奇观

本文应用相对平衡理论,讨论了开敞消防水车沿斜面无摩擦下滑时所特有的水面现象。