Allocating the U.S. Department of Defense Budget: Revisiting the ‘Incremental/Fair Share Model’

Abstract

This article examines the ‘incremental/fair share model’ that was proposed by Alex Mintz in 1988 concerning the budget allocation of the U.S. Department of Defense. Although Mintz was unable to confirm the correctness of his model, this study demonstrated it to be statistically significant. In the statistical analyses, I used the two-stage least squares method and Durbin’s h-test to better scrutinize the model’s adequacy. Few previous studies have addressed the allocation of the U.S. defence budget; consequently, the incremental/fair-share model should constitute a starting point for further research on the U.S. defence budget allocation.     

机械系统可靠性设计若干问题探讨

机械系统的可靠性设计是当前可靠性工程界面临的热点和难点问题之一,从分析机械系统可靠性设计的特点和难点入手,探讨了机械系统可靠性建模、分配、预计等机械系统可靠性设计中急需解决的关键问题。     

突防过程的组网雷达干扰资源优化分配

以组网雷达融合中心检测概率为目标函数,建立针对组网雷达系统的干扰资源优化分配模型.并进一步指出该模型运用于飞行器突防时,其不足之处在于"以点带面",以飞行器突防过程中某一点的融合中心检测概率代替整个突防过程时,该评估方法损失过程中的大量信息.在此基础上充分利用突防过程的信息,提出以"融合中心检测概率加权积分"为目标函数,建立基于突防过程的干扰资源优化分配模型.仿真结果表明具有一定的指导意义.     

Capacity allocation with traditional and Internet channels

In this paper we study a capacity allocation problem for two firms, each of which has a local store and an online store. Customers may shift among the stores upon encountering a stockout. One question facing each firm is how to allocate its finite capacity (i.e., inventory) between its local and online stores. One firm's allocation affects the decision of the rival, thereby creating a strategic interaction. We consider two scenarios of a single‐product single‐period model and derive corresponding existence and stability conditions for a Nash equilibrium. We then conduct sensitivity analysis of the equilibrium solution with respect to price and cost parameters. We also prove the existence of a Nash equilibrium for a generalized model in which each firm has multiple local stores and a single online store. Finally, we extend the results to a multi‐period model in which each firm decides its total capacity and allocates this capacity between its local and online stores. A myopic solution is derived and shown to be a Nash equilibrium solution of a corresponding “sequential game.” © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Minimizing the makespan in open‐shop scheduling problems with a convex resource consumption function

We consider open‐shop scheduling problems where operation‐processing times are a convex decreasing function of a common limited nonrenewable resource. The scheduler's objective is to determine the optimal job sequence on each machine and the optimal resource allocation for each operation in order to minimize the makespan. We prove that this problem is NP‐hard, but for the special case of the two‐machine problem we provide an efficient optimization algorithm. We also provide a fully polynomial approximation scheme for solving the preemptive case. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

A dynamic allocation heuristic for centralized safety stock

An inventory system that consists of a depot (central warehouse) and retailers (regional warehouses) is considered. The system is replenished regularly on a fixed cycle by an outside supplier. Most of the stock is direct shipped to the retailer locations but some stock is sent to the central warehouse. At the beginning of any one of the periods during the cycle, the central stock can then be completely allocated out to the retailers. In this paper we propose a heuristic method to dynamically (as retailer inventory levels change with time) determine the appropriate period in which to do the allocation. As the optimal method is not tractable, the heuristic's performance is compared against two other approaches. One presets the allocation period, while the other provides a lower bound on the expected shortages of the optimal solution, obtained by assuming that we know ahead of time all of the demands, period by period, in the cycle. The results from extensive simulation experiments show that the dynamic heuristic significantly outperforms the “preset” approach and its performance is reasonably close to the lower bound. Moreover, the logic of the heuristic is appealing and the calculations, associated with using it, are easy to carry out. Sensitivities to various system parameters (such as the safety factor, coefficient of variation of demand, number of regional warehouses, external lead time, and the cycle length) are presented. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks

A simultaneous non‐zero‐sum game is modeled to extend the classical network interdiction problem. In this model, an interdictor (e.g., an enforcement agent) decides how much of an inspection resource to spend along each arc in the network to capture a smuggler. The smuggler (randomly) selects a commodity to smuggle—a source and destination pair of nodes, and also a corresponding path for traveling between the given pair of nodes. This model is motivated by a terrorist organization that can mobilize its human, financial, or weapon resources to carry out an attack at one of several potential target destinations. The probability of evading each of the network arcs nonlinearly decreases in the amount of resource that the interdictor spends on its inspection. We show that under reasonable assumptions with respect to the evasion probability functions, (approximate) Nash equilibria of this game can be determined in polynomial time; depending on whether the evasion functions are exponential or general logarithmically‐convex functions, exact Nash equilibria or approximate Nash equilibria, respectively, are computed. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 139–153, 2017     

伺服机构故障下基于线性规划的运载火箭姿控系统重构控制

发动机伺服机构故障给新一代运载火箭姿控系统的可靠性和安全性带来挑战,亟须开展重构控制策略研究。针对这一问题,提出一种基于线性规划的摆角重构控制分配方法。将伺服机构故障下的摆角分配问题转化为1范数单目标有约束优化问题,进而转化为标准的线性规划模型,采用单纯形法进行求解。仿真结果表明,所提出的线性规划法能够实现伺服机构故障下姿控系统的完全重构,各摆角均未达到饱和值,表明了方法的有效性。     

多特征融合文本聚类的新闻话题发现模型

融合新闻命名实体、新闻标题、新闻重要段落、文本语义等多特征影响,提出基于多特征融合文本聚类的新闻话题发现模型。模型根据新闻的多特征影响,提出一种多特征融合文本聚类方法。该方法针对新闻标题、新闻重要段落等特征因素构建向量空间模型及相似度算法,基于潜在狄利克雷分配模型构建主题空间模型及相似度算法,针对命名实体构建命名实体模型及相似度算法,并将三种相似度算法形成最优融合。基于多特征融合文本聚类方法,模型改进了用于新闻话题发现的Single-Pass算法。实验是在真实新闻数据集上开展的,实验结果表明:该模型有效地提高了新闻话题发现的准确率、召回率和综合评价指标,并具有一定的自适应能力。     

并行面向对象数据库中的数据放置

针对并行面向对象数据库的特点,结合异步并行查询执行策略,提出了一种基于对象类的混合式数据放置策略,它包括两个部分:混合式数据划分策略和基于对象类的数据分配策略