A Nonlinear Model of Military Expenditure Convergence: Evidence From Estar Nonlinear Unit Root Test

The paper builds a model to empirically test military expenditure convergence in a nonlinear set up. We assert that country A chooses a military strategy of catching up with the military expenditure of its rivals, subject to public spending constraints on public investments, including health and education, leading to decrease in long-term economic welfare. This implies nonlinear convergence path: only when the military expenditure gap between countries reaches the threshold level, will it provide incentives to catch up with rival’s military expenditures. We test this nonlinear catching up hypothesis for 37 countries spanning from 1988 to 2012. Results from individual nonlinear cross-sectionally augmented Dickey–Fuller (NCADF) regression indicate that 53% of countries converge to world’s average military expenditure: where 39% of countries converge to Germany; 33% of countries converge to China; 22% of countries converge to the USA, and 11% of countries converge to Russia. Interestingly, USA does not exhibit nonlinear military expenditure convergence toward world’s average level. For panel NCADF regression, the result suggests that on average, there is evidence for countries converging to USA’s military expenditure at 10% significance level. For the convergence to the world’s average, the statistical significance is at the 1% significance level.     

Nonlinear pricing with consumer satiation

In various scenarios, consumers may become satiated with products, and the degree of satiation is directly associated with their prior experiences. Confronted with consumer satiation, the seller is unable to either identify consumers who have a higher likelihood of being satiated ex ante or distinguish satiated from non‐satiated consumers ex post. Therefore, the seller should address dynamic selling, valuation uncertainty, and quantity decisions, all of which are important operational issues. We consider a two‐period problem in which consumer types are influenced by their prior consumption experiences. Faced with these consumers, the seller intends to optimize quantities and adjust the prices of the products in each period to maximize revenue. We find that the seller may reduce ex ante production quantity as some consumers become satiated. Moreover, the ex ante quantity is first decreasing and then increasing with regard to the satiation rate. Furthermore, two‐period information asymmetries may provide a rationale for upward distortion in quantity when consumer preferences are highly sensitive to first‐period consumption. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 386–400, 2016     

A stochastic assignment problem

There are n boxes with box i having a quota value Balls arrive sequentially, with each ball having a binary vector attached to it, with the interpretation being that if X_i = 1 then that ball is eligible to be put in box i. A ball's vector is revealed when it arrives and the ball can be put in any alive box for which it is eligible, where a box is said to be alive if it has not yet met its quota. Assuming that the components of a vector are independent, we are interested in the policy that minimizes, either stochastically or in expectation, the number of balls that need arrive until all boxes have met their quotas. © 2014 Wiley Periodicals, Inc. 62:23–31, 2015     

Generation and storage dispatch in electricity networks with generator disruptions

We present methods for optimizing generation and storage decisions in an electricity network with multiple unreliable generators, each colocated with one energy storage unit (e.g., battery), and multiple loads under power flow constraints. Our model chooses the amount of energy produced by each generator and the amount of energy stored in each battery in every time period in order to minimize power generation and storage costs when each generator faces stochastic Markovian supply disruptions. This problem cannot be optimized easily using stochastic programming and/or dynamic programming approaches. Therefore, in this study, we present several heuristic methods to find an approximate optimal solution for this system. Each heuristic involves decomposing the network into several single‐generator, single‐battery, multiload systems and solving them optimally using dynamic programming, then obtaining a solution for the original problem by recombining. We discuss the computational performance of the proposed heuristics as well as insights gained from the models. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 493–511, 2015     

随机振动激励下自行火炮的合理车速

自行火炮的悬挂装置,在路面和履带激励下工作。剧烈的振动将影响自行火炮的机动性,根据路面谱的资料,建立了激励频率与车速的关系;利用模态分析的方法,对悬挂装置进行有限元动力分析,得到了悬挂装置的动态特性。从避免共振发生的原理,提出了自行火炮的合理车速。     

按Weibull分布计算滚动轴承的寿命和强度的可靠性

运用weibull分布推导出任意可靠性指标下滚动轴承的寿命和强度计算公式,给出了多列轴承和轴承系统的可靠性计算方法和公式,并按照工程的方法加以简化处理。     

Military expenditure and economic growth in Middle Eastern countries and Turkey: a non-linear panel data approach

The economic growth effects of military expenditure have been the subject of a large literature in defence economics. Theories on the economic impacts of military expenditure greatly differ and include arguments that they either enhance economic growth or crowd out productive investments. Empirical literature on defence expenditure and economic growth nexus generally employs linear specifications to investigate the impact of defence expenditures on economic growth. Although it is now well established that many economic variables may have a non-linear data-generating mechanism, it seems that this reality has long been neglected in empirical work on defence–growth nexus. This paper attempts to fill this gap by employing non-linear panel data models to examine the effects of military expenditures on economic growth for Middle Eastern countries and Turkey, for the time period 1988–2012. Results show that the effect of military expenditure on economic growth is nonlinear such that the state of the economy actually determines the effect of the former on the latter. This is important not only in showing asymmetric relationship between these variables but also in revealing the reasons of mixed results of earlier literature.     

Two‐agent scheduling on a single sequential and compatible batching machine

We study two‐agent scheduling on a single sequential and compatible batching machine in which jobs in each batch are processed sequentially and compatibility means that jobs of distinct agents can be processed in a common batch. A fixed setup time is required before each batch is started. Each agent seeks to optimize some scheduling criterion that depends on the completion times of its own jobs only. We consider several scheduling problems arising from different combinations of some regular scheduling criteria, including the maximum cost (embracing lateness and makespan as its special cases), the total completion time, and the (weighted) number of tardy jobs. Our goal is to find an optimal schedule that minimizes the objective value of one agent, subject to an upper bound on the objective value of the other agent. For each problem under consideration, we provide either a polynomial‐time or a pseudo‐polynomial‐time algorithm to solve it. We also devise a fully polynomial‐time approximation scheme when both agents’ scheduling criteria are the weighted number of tardy jobs.     

DPCA和GRNN在燃气轮机故障诊断的方法

选取其关键部件—喷口加力调节器作为故障诊断研究对象,提出了一种基于动态主元分析(DPCA)和广义回归神经网络(GRNN)相结合的喷口加力调节器故障诊断方法。在燃气轮机专用试验平台对其进行试验,采集喷口加力调节器的高压转子转速、低压转子转速、燃油油量、燃油耗量等参数原始数据,对其进行预处理,并采用DPCA方法对其进行动态主元分析,提取其不同健康状态的主元,构建特征向量,采用特征向量构建GRNN神经网络故障诊断模型,并通过测试数据对该方法的有效性进行试验验证。为表明该方法的有效性,采用了基于GRNN和基于DPCA-RBF的方法对喷口加力调节器不同健康状态进行了诊断技术研究,并对不同方法所得到的诊断结果进行了对比分析。结果表明,采用DPCA和GRNN相结合的故障诊断方法能有效识别出喷口加力调节器不同的健康状态,具有很好的实际应用价值。     

给定人员情况下最小化开发时间和成本的软件项目调度

给出了一种软件项目的随机调度模型.它明确地把调度策略作为输入,一旦调度策略确定,模型就可以输出关于项目的完成时间或成本的一个概率分布.利用随机最优化技术,能够计算出软件项目的一个调度策略,它使得项目在人员给定的情况下开发时间和成本最小.