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     

军事攻防中的多属性资源分配对策模型

针对资源受限情形下的两阶段攻防资源分配问题,提出一种基于多属性决策的资源分配对策模型。防守者首先将有限的防护资源分配到不同的目标上,继而进攻者选择一种威胁组合方式对目标实施打击。基于博弈论相关知识,模型的求解结果可以使防守者最小化自身损失,使进攻者最大化进攻收益。同时,针对模型的特点,给出了一些推论和证明。通过一个示例验证了模型的合理性以及相关推论的准确性,能够为攻、防双方规划决策提供辅助支持。     

磁致伸缩扭转导波小管径弯管检测

针对扭转导波对小管径弯管的检测问题,分别采用数值模拟和实验方法进行研究。使用ANSYS软件模拟扭转导波在弯管中的传播;设计一种针对小管径管道的磁致伸缩扭转导波检测传感器,并对弯管进行检测,建立该传感器的导波激发和接收模型,利用理论模型对实验信号进行解读。研究结果表明:T(0,1)模态导波在小管径管道弯头处发生模态转换,部分T(0,1)模态转换成F(1,1)模态,F(1,1)模态具有方向性,垂直于弯头拱背-拱腹方向;模态转换会造成检测信号的双端面反射现象,第二个端面回波与第一个端面回波幅值比随频率的增大呈减小趋势;传感器激发出的纵向磁致伸缩力会导致实验信号中出现少量纵向模态导波。研究结论为磁致伸缩扭转导波对小管径弯管的检测提供理论指导。     

The Dark Side of Extended Deterrence: Thinking through the State Sponsorship of Terrorism

States employ extended deterrence to shield third parties from aggression. The concept is traditionally applied to interstate relations, collective security arrangements, and strategic considerations. The protective relationship that exists between a state sponsor of terrorism and its non-state militant proxy is rarely considered. This article will introduce and explore the sponsor–proxy relationship in the context of extended deterrence, and relate it to Iran’s support and sponsorship of political violence, militancy, and terrorism in Europe. The article reviews the rationale states have for sponsoring terrorism, and illustrates the promises and pitfalls associated with extending deterrence to non-state militants.     

The stability of the nuclear nonproliferation norm: a critique of norm-contestation theory

This article argues that the nuclear nonproliferation norm (NNPN) is a social fact with a relatively independent life of its own and that it has a powerful impact on the behavior of both nuclear-weapon states (NWS) and non-nuclear-weapon states (NNWS). It challenges the application of critical constructivist research on norms to the NNPN and the idea that its legitimacy and structural power depend on contestation “all the way down.” State and non-state actors play an important role in explaining the dynamics of the NNPN, but agential constructivism runs the danger of “throwing the baby out with the bath water,” neglecting the structural impact of the NNPN on state behavior. The article examines the limitations of norm-contestation theory, arguing that some norms are more resistant to contestation than others. The NNPN is more difficult to contest than new norms (such as the Responsibility to Protect) because it is rooted in fifty years of nonproliferation nuclear diplomacy. The US-India nuclear deal is not a case of “norm change” but a violation of the NNPN. The “core” of the NNPN has not changed since the US-India nuclear deal. The conflict confronting NWS and NNWS is about the implementation of “type 2” norms (organizing principles) and “type 3” norms (standardized procedures), and not about the “hard core” of the NNPN.     

电磁轨道发射中内弹道动力响应特性分析

将轨道简化为移动载荷作用下固定在弹性支撑上的Bernoulli-Euler梁,通过静态电磁-结构耦合有限元模型求得外围封装的等效刚度,计算得到发射器的临界速度。另外,利用混合有限元/边界元法建立电磁-结构-运动多物理场耦合的动力学模型,求得枢轨动态接触压力和轨道的应力应变分布特性。通过在轨道背面布置光纤光栅应变传感器,利用测量数据验证了动力响应特性,并分析了弹丸在内弹道的稳定性。针对典型30 mm × 30 mm矩形口径发射器,分析及试验结果表明：C型电枢对轨道的电磁挤压力在平顶沿起始时刻达到最大值,之后随着时间推移逐渐减小;电枢通过引起的应力波在高速段容易与轨道中反射应力波发生共振,并且轨道在电枢运动的中间高速段区域受力最为集中,应力集中水平约是起始低速段区域的2.44倍;电枢运动高速段会出现晃动现象,进而引起上下轨道受力的不对称性。分析及试验结果对研究电磁轨道发射器内弹道动力响应特性和发射器结构设计具有重要指导意义。     

二部图的(g,f)匹配

本文证明了二部图存在(g,f)匹配和f 因子的充要条件以及有关的几个结果,并且给出了求二部图的最大(g,f)匹配、最小(g,f)匹配和最小权最大f 匹配、最小权(g,f)匹配、最大权(g,f)匹配的算法。     

用户偏好提取MDP建模研究

将马尔可夫判决过程和智能强化学习算法相结合,给出了异构无线网络环境下用户业务偏好评估模型的技术框架。为动态环境下用户需求的感知、量化和适配特征的研究提供了基本的数学描述,对解决用户体验的评价问题和业务与业务环境的适配问题提供了新的研究思路。仿真结果表明所构建的MDP模型能够在多状态条件下学习用户偏好,根据用户需求智能选择业务。     

Numerical simulation of the blast wave of a multilayer composite charge

The numerical simulation of a blast wave of a multilayer composite charge is investigated. A calculation model of the near-field explosion and far-field propagation of the shock wave of a composite charge is established using the AUTODYN finite element program. Results of the near-field and far-field calculations of the shock wave respectively converge at cell sizes of 0.25–0.5 cm and 1–3 cm. The Euler––flux-corrected transport solver is found to be suitable for the far-field calculation after mapping. A numerical simulation is conducted to study the formation, propagation, and interaction of the shock wave of the composite charge for different initiation modes. It is found that the initiation mode obviously affects the shock-wave waveform and pressure distribution of the composite charge. Additionally, it is found that the area of the overpressure distribution is greatest for internal and external simultaneous initiation, and the peak pressure of the shock wave exponentially decays, fitting the calculation formula of the peak overpressure attenuation under different initiation modes, which is obtained and verified by experiment. The difference between numerical and experimental results is less than 10%, and the peak overpressure of both internal and external initiation is 56.12% higher than that of central single-point initiation.     

Experimental research on the instability propagation characteristics of liquid kerosene rotating detonation wave

In order to study the instability propagation characteristics of the liquid kerosene rotating detonation wave (RDW), a series of experimental tests were carried out on the rotating detonation combustor (RDC) with air-heater. The fuel and oxidizer are room-temperature liquid kerosene and preheated oxygen-enriched air, respectively. The experimental tests keep the equivalence ratio of 0.81 and the oxygen mass fraction of 35% unchanged, and the total mass flow rate is maintained at about 1000 g/s, changing the total temperature of the oxygen-enriched air from 620 K to 860 K. Three different types of instability were observed in the experiments: temporal and spatial instability, mode transition and re-initiation. The interaction between RDW and supply plenum may be the main reason for the fluctuations of detonation wave velocity and pressure peaks with time. Moreover, the inconsistent mixing of fuel and oxidizer at different circumferential positions is related to RDW oscillate spatially. The phenomenon of single-double-single wave transition is analyzed. During the transition, the initial RDW weakens until disappears, and the compression wave strengthens until it becomes a new RDW and propagates steadily. The increased deflagration between the detonation products and the fresh gas layer caused by excessively high temperature is one of the reasons for the RDC quenching and re-initiation.