用于评估地空导弹系统效能的模糊综合模型

建立了地空导弹武器系统效能综合评价的指标体系,利用模糊数学方法,确立了该系统的综合评价模型,从而为地空导弹武器系统效能的综合评价提供了一种方法,具有一定的参考价值。     

编队对地攻击联合火力分配问题的Swt-opt算法

根据未来战争中编队对地攻击的特点,运用一致算法(consensus algorithm)的思想对Swt-opt算法进行改进,解决关于传感器-武器-目标的联合火力分配问题。改进算法继承了Swt-opt算法解决资源分配问题在通信、计算以及对战场态势的容错能力方面的优势,克服了Swt-opt算法受限于网络拓扑结构的缺点。最后,证明了改进算法的可行性,并运用Matlab对改进算法进行了仿真实现。     

基于逼近理想解排序法的导弹保障性评价研究

保障性评价是实现导弹综合保障目标的重要手段。根据保障性评价指标模型建立了决策判断矩阵,采用层次分析法确定各指标权重,利用逼近理想解排序法对导弹保障性评价进行了定量分析。通过实例分析,这种方法计算简便,可操作性强,有实际应用价值。     

舰船航渡过程中的松弛时间与航渡策略问题

针对舰船特点和任务要求,提出了舰船航渡中的松弛时间问题。在对问题分析的基础上,给出了松弛时间的定义并对其进行了建模,讨论了航渡失败的判断准则,给出了松弛时间的上下限以及航渡中实际的松弛时间的计算方法,并采用仿真的方法进行了典型航渡过程的松弛时间和成功概率的计算。在大量计算的基础上,初步探讨了航渡成功概率与各类航渡参数之间的关系,并对舰船最优航渡策略问题进行了初步分析,最后对于优化目标、计算初值、结果的表达方式等提出了一个可行的解决方案。     

战斗机远距空战建模与仿真分析

针对中远距一对一的空战问题,从效能分析的角度建立了一对一中远距空战及作战效能分析的模型,包括飞机运动模型、飞机机动动作控制模型、推力模型、火控系统模型、导弹运动模型、导弹制导与控制模型、信息系统模型和效能评估模型等。依据该模型进行了空战仿真并给出效能分析结果,仿真结果与实际吻合,证明模型的有效性,为进一步研究多对多空战仿真打下基础。     

Irreducibility of joint inventory positions in an assemble‐to‐order system under (r,nQ) policies

In a typical assemble‐to‐order system, a customer order may request multiple items, and the order may not be filled if any of the requested items are out of stock. A key customer service measure when unfilled orders are backordered is the order‐based backorder level. To evaluate this crucial performance measure, a fundamental question is whether the stationary joint inventory positions follow an independent and uniform distribution. In this context, this is equivalent to the irreducibility of the Markov chain formed by the joint inventory positions. This article presents a necessary and sufficient condition for the irreducibility of such a Markov chain through a set of simultaneous Diophantine equations. This result also leads to sufficient conditions that are more general than those in the published reports. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Averaging frameworks for simulation optimization with applications to simulated annealing

We present two frameworks for designing random search methods for discrete simulation optimization. One of our frameworks is very broad (in that it includes many random search methods), whereas the other one considers a special class of random search methods called point‐based methods, that move iteratively between points within the feasible region. Our frameworks involve averaging, in that all decisions that require estimates of the objective function values at various feasible solutions are based on the averages of all observations collected at these solutions so far. Also, the methods are adaptive in that they can use information gathered in previous iterations to decide how simulation effort is expended in the current iteration. We show that the methods within our frameworks are almost surely globally convergent under mild conditions. Thus, the generality of our frameworks and associated convergence guarantees makes the frameworks useful to algorithm developers wishing to design efficient and rigorous procedures for simulation optimization. We also present two variants of the simulated annealing (SA) algorithm and provide their convergence analysis as example application of our point‐based framework. Finally, we provide numerical results that demonstrate the empirical effectiveness of averaging and adaptivity in the context of SA. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

WSEIAC模型的中远程空空导弹武器系统效能分析

依据中远程空空导弹武器平台系统的战术指标,建立了中远程空空导弹武器平台系统的效能评价体系.对ADC扩展模型中的人为因素K进行了修正,在能力矩阵C中增加对载机生存能力和信息支持能力的体现.在此基础上给出了修正扩展模型下的系统效能,计算了在原始ADC模型下的系统效能,并对两种模型下的效能差异进行了比较.     

飞越北极航行时间模型的研究

对飞越北极,缩短航线,节省航行时间问题进行了研究。采用了多种算法,对其有效性、适用性和复杂性进行分析讨论。假设"在旋转椭球体中,以通过球心和该椭球体上任意两点所构成的平面截此椭球体所得轨迹弧长作为曲面上两点间最短距离的近似值",在此基础上,通过运用数学软件计算得出结论:从北京出发,飞越北极抵达底特律的飞行时间可节省4.079 6h,从而使问题得到了进一步的验证。     

基于锁相环的GNSS授时接收机钟差校准算法

GNSS(全球卫星导航系统)授时接收机利用卫星导航信号获取钟差并校准本地时钟,从而与GNSS系统时间同步。提出了全新的基于锁相环的GNSS授时接收机钟差校准算法,将钟差校准过程等效为传统的锁相环模型,鉴相器的功能由PVT(位置、速度与时间)解算实现,压控振荡器的功能由本地时间调整接口实现,环路将本地秒相位与GNSS系统的秒相位锁定。分析了环路总误差的组成,以及环路参数与各误差项的关系,给出了误差最小的环路优化设计准则。在北斗二号卫星导航接收机平台上进行了对比实验,验证了算法的有效性。