Stability in a general oligopoly model

We analyze a general but parsimonious price competition model for an oligopoly in which each firm offers any number of products. The demand volumes are general piecewise affine functions of the full price vector, generated as the “regular” extension of a base set of affine functions. The model specifies a product assortment, along with their prices and demand volumes, in contrast to most commonly used demand models. We identify a fully best response operator which is monotonically increasing so that the market converges to a Nash equilibrium, when firms dynamically adjust their prices, as best responses to their competitors' prices, at least when starting in one of two price regions. Moreover, geometrically fast convergence to a common equilibrium can be guaranteed for an arbitrary starting point, under an additional condition for the price sensitivity matrix.     

Log‐concave and concave distributions in reliability

Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log‐concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log‐normal, Pareto, and Gompertz distributions) are log‐concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log‐concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999     

激光推进发动机与激光发射弹道主要参数分析

激光推进是一种应用前景广阔的先进推进技术。讨论了激光推进发动机性能参数,飞行器在无大气阻力并忽略地球曲率和自转条件下发射与入轨所要求的最佳比冲,激光平均功率与电网能量消耗等问题。指出用激光发射微小卫星可以得到高质量比,激光推进发动机最优的比冲为12 240m/s。     

Resource allocation in an asymmetric technology race with temporary advantages

We consider two opponents that compete in developing asymmetric technologies where each party's technology is aimed at damaging (or neutralizing) the other's technology. The situation we consider is different than the classical problem of commercial R&D races in two ways: First, while in commercial R&D races the competitors compete over the control of market share, in our case the competition is about the effectiveness of technologies with respect to certain capabilities. Second, in contrast with the “winner‐takes‐all” assumption that characterizes much of the literature on this field in the commercial world, we assume that the party that wins the race gains a temporary advantage that expires when the other party develops a superior technology. We formulate a variety of models that apply to a one‐sided situation, where one of the two parties has to determine how much to invest in developing a technology to counter another technology employed by the other party. The decision problems are expressed as (convex) nonlinear optimization problems. We present an application that provides some operational insights regarding optimal resource allocation. We also consider a two‐sided situation and develop a Nash equilibrium solution that sets investment values, so that both parties have no incentive to change their investments. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 128–145, 2012     

多元气体化学爆炸的超压安全泄放设计

压力容器在气液二相共存的情况下 ,采用UNIFAC法预测液相活度系数进行气液平衡计算 ,得到多元系统的气液平衡浓度 ,结合燃爆模拟实验数据 ,对容器危险工况下的超压进行安全泄放设计。     

一类军事竞争系统的非线性分析

应用非线性系统的定性理论方法,对一类军事竞争系统进行了定性分析,研究了系统平衡点的性态,证明了系统在全平面不存在闭轨线。     

高功率密度柴油机智能化冷却系统控制策略

简要分析了未来坦克装甲车辆柴油机智能化控制冷却系统的必要性和可行性,提出了智能化冷却系统设计方案,阐述了其组成及工作原理,重点对智能化冷却系统控制策略进行了研究。针对某型柴油机,通过对其散热需求分析,提出了基于发动机工况的开环控制策略,同时,结合以发动机出口冷却水温度为控制目标提出了基于PID算法的闭环反馈控制策略。应用该策略可保证发动机在不同的环境和工况下冷却强度适宜,降低冷却系统的功耗。     

装备采办中一级密封招标的博弈均衡分析

针对装备采办中的一级密封招标问题,分析了招标过程中的博弈特点,给出了一维贝叶斯均衡的求解方法和解析表达式,论证了在军工企业的最优战略是选择博弈的贝叶斯均衡,军方的选择是增加竞标者的人数。然后,重点分析了招标过程中的多维博弈问题,给出了多维贝叶斯均衡的一般求解方法,并针对特定的事例进行了多维均衡分析。最后,在多维博弈的框架下对一维博弈和多维博弈的均衡结果进行比较分析,结果表明：在一级密封招标过程中,多维博弈均衡是军工企业的最优战略。     

基于动量流量法对喷水推进系统推力的CFD计算

采用结构化网格与非结构化网格相结合的方式划分了喷水推进系统的流场区域,采用稳态多参考系方法进行了数值计算。在此基础上,定义并求解一用户自定义标量函数标记整个流场,并根据标记结果将被喷水推进器吸入的流体与其它流体区分开。在后处理过程采用标量函数的等值面来确定喷水推进系统控制体上的流管分界面和进流面。利用数值计算所得的速度场对喷水推进系统喷口和进流面上的动量流量变化率进行计算,间接地得到喷水推进系统的推力。计算结果表明,采用CFD手段计算和分析喷水推进系统包括推力在内的各项性能指标是可行的。     

Inducing coordination in supply chains through linear reward schemes

Decentralized decision‐making in supply chain management is quite common, and often inevitable, due to the magnitude of the chain, its geographical dispersion, and the number of agents that play a role in it. But, decentralized decision‐making is known to result in inefficient Nash equilibrium outcomes, and optimal outcomes that maximize the sum of the utilities of all agents need not be Nash equilibria. In this paper we demonstrate through several examples of supply chain models how linear reward/penalty schemes can be implemented so that a given optimal solution becomes a Nash equilibrium. The examples represent both vertical and horizontal coordination issues. The techniques we employ build on a general framework for the use of linear reward/penalty schemes to induce stability in given optimal solutions and should be useful to other multi‐agent operations management settings. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006