Are non‐lethal weapons a viable military option to strengthen the hearts and minds approach in Afghanistan?

Commanders of the International Security Assistance Force (ISAF) have repeatedly stressed the hearts and minds approach in Afghanistan, in saying that the human terrain is decisive for a successful outcome of the mission. Avoidance of civilian casualties is considered of strategic importance, and by nature highly dependent on the management of tactical level Escalation of Force (EoF) situations. Non‐lethal weapons (NLWs) are expected to enable tactical commanders to avoid innocent civilian casualties in such situations. This article considers a selected NLW on its potential to accomplish this requirement. It uses a defence technology assessment approach to analyse EoF situations experienced by Dutch ISAF forces in which the NLW is inserted. The analysis demonstrates that a range of contextual factors in the Afghanistan high‐risk environment tend to narrow down the window of opportunity for the NLW to help defuse the risk of unintended civil casualties.     

弹道导弹自由段拦截窗口建模与仿真

为有效应对战术弹道导弹的威胁,必须提高拦截系统对目标的预警和探测能力。合适的拦截窗口对拦截效果将起到关键作用。根据拦截窗口的定义,给出了最早拦截点与最晚拦截点的确定方法;提出了通过弹道导弹的飞行弹道求解自由段拦截窗口的计算方法。并以弹道导弹为拦截目标进行了仿真分析。算例仿真说明,拦截弹的拦截低界以及弹道导弹的关机点速度是影响拦截窗口的主要因素。     

Approximation results for min‐max path cover problems in vehicle routing

This article studies a min‐max path cover problem, which is to determine a set of paths for k capacitated vehicles to service all the customers in a given weighted graph so that the largest path cost is minimized. The problem has wide applications in vehicle routing, especially when the minimization of the latest service completion time is a critical performance measure. We have analyzed four typical variants of this problem, where the vehicles have either unlimited or limited capacities, and they start from either a given depot or any depot of a given depot set. We have developed approximation algorithms for these four variants, which achieve approximation ratios of max{3 ‐ 2/k,2}, 5, max{5 ‐ 2/k,4}, and 7, respectively. We have also analyzed the approximation hardness of these variants by showing that, unless P = NP , it is impossible for them to achieve approximation ratios less than 4/3, 3/2, 3/2, and 2, respectively. We have further extended the techniques and results developed for this problem to other min‐max vehicle routing problems.© 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

Dynamic capacity reservation and due date quoting in a make‐to‐order system

We consider a make‐to‐order manufacturer facing random demand from two classes of customers. We develop an integrated model for reserving capacity in anticipation of future order arrivals from high priority customers and setting due dates for incoming orders. Our research exhibits two distinct features: (1) we explicitly model the manufacturer's uncertainty about the customers' due date preferences for future orders; and (2) we utilize a service level measure for reserving capacity rather than estimating short and long term implications of due date quoting with a penalty cost function. We identify an interesting effect (“t‐pooling”) that arises when the (partial) knowledge of customer due date preferences is utilized in making capacity reservation and order allocation decisions. We characterize the relationship between the customer due date preferences and the required reservation quantities and show that not considering the t‐pooling effect (as done in traditional capacity and inventory rationing literature) leads to excessive capacity reservations. Numerical analyses are conducted to investigate the behavior and performance of our capacity reservation and due date quoting approach in a dynamic setting with multiple planning horizons and roll‐overs. One interesting and seemingly counterintuitive finding of our analyses is that under certain conditions reserving capacity for high priority customers not only improves high priority fulfillment, but also increases the overall system fill rate. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

A multi‐stage stochastic programming approach for network capacity expansion with multiple sources of capacity

In networks, there are often more than one sources of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity, and contract capacity. We use a scenario tree to model the uncertainty, and build a multi‐stage stochastic integer program that can incorporate multiple sources and multiple types of capacities in a general network. We propose two solution methodologies for the problem. Firstly, we design an asymptotically convergent approximation algorithm. Secondly, we design a cutting plane algorithm based on Benders decomposition to find tight bounds for the problem. The numerical experiments show superb performance of the proposed algorithms compared with commercial software. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 600–614, 2017     

Analytic solution for the nucleolus of a three‐player cooperative game

The nucleolus solution for cooperative games in characteristic function form is usually computed numerically by solving a sequence of linear programing (LP) problems, or by solving a single, but very large‐scale, LP problem. This article proposes an algebraic method to compute the nucleolus solution analytically (i.e., in closed‐form) for a three‐player cooperative game in characteristic function form. We first consider cooperative games with empty core and derive a formula to compute the nucleolus solution. Next, we examine cooperative games with nonempty core and calculate the nucleolus solution analytically for five possible cases arising from the relationship among the value functions of different coalitions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

Robustness of efficient server assignment policies to service time distributions in finite‐buffered lines

We study the assignment of flexible servers to stations in tandem lines with service times that are not necessarily exponentially distributed. Our goal is to achieve optimal or near‐optimal throughput. For systems with infinite buffers, it is already known that the effective assignment of flexible servers is robust to the service time distributions. We provide analytical results for small systems and numerical results for larger systems that support the same conclusion for tandem lines with finite buffers. In the process, we propose server assignment heuristics that perform well for systems with different service time distributions. Our research suggests that policies known to be optimal or near‐optimal for Markovian systems are also likely to be effective when used to assign servers to tasks in non‐Markovian systems. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

Optimal switchover times between two activities utilizing the same resource

The “gold‐mining” decision problem is concerned with the efficient utilization of a delicate mining equipment working in a number of different mines. Richard Bellman was the first to consider this type of a problem. The solution found by Bellman for the finite‐horizon, continuous‐time version of the problem with two mines is not overly realistic since he assumed that fractional parts of the same mining equipment could be used in different mines and this fraction could change instantaneously. In this paper, we provide some extensions to this model in order to produce more operational and realistic solutions. Our first model is concerned with developing an operational policy where the equipment may be switched from one mine to the other at most once during a finite horizon. In the next extension we incorporate a cost component in the objective function and assume that the horizon length is not fixed but it is the second decision variable. Structural properties of the optimal solutions are obtained using nonlinear programming. Each model and its solution is illustrated with a numerical example. The models developed here may have potential applications in other areas including production of items requiring the same machine or choosing a sequence of activities requiring the same resource. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 186–203, 2002; DOI 10.1002/nav.10008     

车辆悬挂系统的主动优化控制器设计及仿真

基于特征结构配置参数化结果,提出了车辆悬挂系统的主动优化控制器设计方法。该方法直接基于车辆悬挂系统的参数矩阵,便于工程应用。车辆悬挂系统的仿真实例表明所提主动优化控制器设计方法简单且有效。     

大椭圆停泊轨道月球探测器发射窗口运动学约束特性分析及转移轨道快速设计方法

通过分析大椭圆停泊轨道月球探测器发射窗口的运动学约束特性,给出了转移轨道运动学约束对发射窗口的影响规律,进一步明确了在该种情况下月球探测器的发射机会和增加窗口的可能性.并结合发射窗口运动学约束特性,提出了一种基于大椭圆停泊轨道的地月转移轨道快速设计方法.仿真结果验证了大椭圆停泊轨道下探测器发射窗口运动学约束特性分析的正确性,以及转移轨道设计方法的有效性.