具有时滞的比率型Chemostat模型的全局稳定性

研究一类具有时滞的比率型功能性反应的Chemostat模型。研究了模型的边界平衡点和正平衡点的局部稳定性以及Hopf分支的存在性;利用比较定理证明了边界平衡点的全局稳定性;通过构造Liapunov泛函给出了保证系统正平衡点全局稳定的充分条件;并通过数值模拟验证了理论结果。     

联合补充博弈的费用分摊

就一个仓库、多个零售商,对联合订货费用函数的模型进行分析,给出了一个求解最佳订货周期的多项式时间的算法,且算法的时间复杂性为O（nlogn）。利用文献[8]中的技巧,给出了该库存博弈的核。     

Scheduling parallel machines with inclusive processing set restrictions

We consider the problem of assigning a set of jobs to different parallel machines of the same processing speed, where each job is compatible to only a subset of those machines. The machines can be linearly ordered such that a higher‐indexed machine can process all those jobs that a lower‐indexed machine can process. The objective is to minimize the makespan of the schedule. This problem is motivated by industrial applications such as cargo handling by cranes with nonidentical weight capacities, computer processor scheduling with memory constraints, and grades of service provision by parallel servers. We develop an efficient algorithm for this problem with a worst‐case performance ratio of + ε, where ε is a positive constant which may be set arbitrarily close to zero. We also present a polynomial time approximation scheme for this problem, which answers an open question in the literature. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

GNSS阵列接收机信号解扩前的欺骗干扰检测算法

为了降低天线阵接收机欺骗干扰检测方法的计算量,提出一种信号解扩前的欺骗干扰检测方法。该方法利用不同天线上信号和噪声相关性的差异,在信号解扩前估计其功率,从而进行欺骗干扰检测。仿真结果表明,该方法在降低运算量的同时,具有良好的检测性能。     

Schedule design for liner services under vessel speed reduction incentive programs

Gas and particulate emissions from ship transportation have been increasing in recent years. In order to mitigate ship emissions near coastal areas, voluntary vessel speed reduction incentive programs (VSRIPs) were put in place by a number of ports. This paper studies a schedule design problem faced by liner shipping companies under VSRIPs. It proposes a mixed-integer nonlinear mathematical model for the minimization of the total cost, consisting of fuel cost, as well as operating cost, minus dockage refunds. The model balances three determinants, that is, the compliance of VSRIPs, the speed limit (the maximum physical speed of ships and the upper speed limit imposed by VSRIPs), and the limited number of ships. An enumerative algorithm and a piecewise-linear approximation algorithm are developed, based on some properties of the nonlinear model. The efficiency of the proposed algorithms is validated through extensive computational experiments.     

二进制偏移载波调制信号畸变误差评估指标

针对三种常见的信号畸变,给出完善的畸变误差评估指标,从而能够全面评估畸变误差。同时采用提出的评估指标对北斗全球系统B1频段上的基线信号BOC(14,2)及MBOC(6,1,1/11)信号进行评估。所提出的畸变误差评估指标能够用于评估现代卫星导航信号的畸变误差,对现代导航信号体制设计及完好性监测均具有指导意义。     

非自治Lotka-Volterra竞争系统的持久性与正概周期解

利用微分不等式和Liapunov第二方法 ,研究了二维非自治Lotka -Volterra竞争系统的持久性与正概周期解的存在性、唯一性及全局渐近稳定性。     

复杂线型小水线面双体船兴波阻力数值计算方法研究

将分段幂多项式拟合方法与线性兴波阻力理论相结合,提出一种针对复杂线型小水线面双体船的兴波阻力数值计算方法,该方法应用于常规小水线面双体船的兴波阻力计算,表明该方法能在常规的幂多项式拟合方法的基础上进一步提高计算精度,同时也验证了该方法的正确性,将该方法的计算结果与复杂线型小水线面双体船剩余阻力的试验结果相比,两者吻合较好,证明了该方法用于复杂线型小水线面双体船的兴波阻力计算是可行的。     

Concave envelopes of monomial functions over rectangles

The construction of convex and concave envelopes of real‐valued functions has been of interest in mathematical programming for over 3 decades. Much of this interest stems from the fact that convex and concave envelopes can play important roles in algorithms for solving various discrete and continuous global optimization problems. In this article, we use a simplicial subdivision tool to present and validate the formula for the concave envelope of a monomial function over a rectangle. Potential algorithmic applications of this formula are briefly indicated. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

INS/GPS组合制导修正主动段自旋误差研究

弹道导弹主动段自旋可以对抗激光武器拦截,实现主动段突防.但是主动段自旋又会引起较大的速度位置偏差,进而造成较大的落点偏差.提出了一种通过自由段组合制导修正落点偏差的方案.首先建立了主动段自旋弹道模型,分析了主动段自旋引起的速度位置误差及最终的落点偏差,然后在自由段采用INS/GPS组合制导,应用卡尔曼滤波对数据进行处理.仿真表明,该方法可以明显提高导弹的命中精度.