一类二次微分系统在三次多项式扰动下的极限环估计

计算了一类二次Hamilton微分系统的一阶Mel’nikov函数,通过此方法对该系统在三次多项式扰动下分岔的极限环个数进行了估计。     

Optimal scheduling of reader—systems

We consider a reader—writer system consisting of a single server and a fixed number of jobs (or customers) belonging to two classes. Class one jobs are called readers and any number of them can be processed simultaneously. Class two jobs are called writers and they have to be processed one at a time. When a writer is being processed no other writer or readers can be processed. A fixed number of readers and writers are ready for processing at time 0. Their processing times are independent random variables. Each reader and writer has a fixed waiting cost rate. We find optimal scheduling rules that minimize the expected total waiting cost (expected total weighted flowtime). We consider both nonpreemptive and preemptive scheduling. The optimal nonpreemptive schedule is derived by a variation of the usual interchange argument, while the optimal schedule in the preemptive case is given by a Gittins index policy. These index policies continue to be optimal for systems in which new writers enter the system in a Poisson fashion. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 483–495, 1998     

Bernard Fall and Vietnamese Revolutionary Warfare in Indochina

This article assesses Bernard Fall’s concept of Vietnamese Revolutionary Warfare in Indochina between 1953 and 1958. It also investigates differences in the conceptualization of Revolutionary Warfare between Fall and proponents of French military doctrine known as la guerre révolutionnaire. The last component of the article considers limits of Fall’s influence on counterinsurgency doctrine.     

Nuclear weapons and alliance institutions in the era of President Trump

The swearing in of Donald Trump as the 45th President of the United States presages, at the very least, a period of flux in American strategy with respect to the relationship between nuclear weapons and alliances. In this response to three thoughtful rejoinders to our article, “Nuclear weapons, the United States and alliances in Europe and Asia: Toward an institutional perspective,” we clarify key aspects of our argument and discuss why alliance institutions are likely to be relatively robust in the face of change, how they can influence national decision-making, and argue that they may exert a moderating influence over the new administration.     

Reformulating zero-sum games with multiple goals

This paper investigates the two-person zero-sum multiple payoff game in which the objective is to minimize a player's total underachievement from a fixed set of goals. It is demonstrated that a previous formulation of this problem can be substantially simplified.     

Equivalence relations in the theory of repetitive consumption

Preference for food in the function of the time since last consumption and total preference in the function of eating frequency are equivalent mathematical representations of attitudes governing food consumption. The observed and postulated properties of these functions imply a formal correspondence between preference maximizing and variety seeking behavior.     

A linear-programming-based method for determining whether or not n demand points are on a hemisphere

Whenever n demand points are located on a hemisphere, spherical location problems can be solved easily using geometrical methods or mathematical programming. A method based on a linear programming formulation with four constraints is presented to determine whether n demand points are on a hemisphere. The formulation is derived from a modified minimax spherical location problem whose Karush-Kuhn-Tucker conditions are the constraints of the linear program. © 1993 John Wiley & Sons, Inc.     

RBF网络用于战车火控系统弹道解算的方法

弹道解算问题对战车火控系统的性能有着直接的影响.传统的弹道解算方法在精度和实时性方面都存在一定的局限性.为了提高解算精度、战车首发命中率和解算的实时性,基于RBF网络的函数逼近及预测能力,将RBF网络用于弹道解算,对传统算法进行优化,得到了新的弹道解算方法.最后对所提方法进行了仿真,发现新方法在解算精度没有降低的条件下,大大提高了弹道解算的实时性.