Performance and properties of Q‐Statistic monitoring schemes

In this article, we study the Shewhart chart of Q statistics proposed for the detection of process mean shifts in start‐up processes and short runs. Exact expressions for the run‐length distribution of this chart are derived and evaluated using an efficient computational procedure. The procedure can be considerably faster than using direct simulation. We extend our work to analyze the practice of requiring multiple signals from the chart before responding, a practice sometimes followed with Shewhart charts. The results show that waiting to receive multiple signals severely reduces the probability of quickly detecting shifts in certain cases, and therefore may be considered a risky practice. Operational guidelines for practitioners implementing the chart are discussed. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

用Excel演示Floyd算法

Floyd算法是计算最短路径长度的基本算法之一,若用Excel实现,算法的核心部分只需填写一个公式,比通常的四重循环结构算法简单、直观。     

基于A~*算法的虚拟士兵城市作战路径规划

针对虚拟士兵在城市作战仿真领域的需求,重点研究了虚拟士兵在城市环境中路径规划问题。通过对三维城市虚拟环境空间进行分层信息处理,生成虚拟士兵能够感知的虚拟信息层。用A*算法求出虚拟士兵从初始位置到达目标位置的最佳路径,并给出算法的具体设计与实现。     

基于二层遗传算法的导弹航路选优问题研究

在多批次多数量的反舰导弹从多个方向对敌舰艇进行饱和攻击的决策过程中,如何选择出最优的航路组合是提高反舰导弹作战效能的关键问题。在综合分析反舰导弹航路选优问题的基础上,建立了导弹航路选择的优化模型,并针对导弹航路选优问题,对基本遗传算法进行了改进,提出了二层遗传算法。仿真分析了多火力单元多目标导弹攻击的航路组合优化问题,得出了有效的导弹攻击航路。通过验证,说明了二层遗传算法在导弹航路规划中的有效性。     

航空随队支援干扰掩护区仿真建模研究

干扰暴露区及干扰扇面等传统评估指标对静态干扰部署可以进行有效评估分析,对机动干扰掩护难以进行准确描述分析。为有效评估电子对抗航空兵随队支援干扰能力,以及准确进行航空兵突防编队配置及干扰力量需求分析,引入了干扰掩护区的概念,并建立相关模型进行仿真计算,得出3条电子对抗随队支援航空兵突防的运用启示。     

基于Dubins路径的智能车辆路径规划算法

路径规划是车辆智能化的核心问题之一,而所有路径均可分解为简单的Dubins路径。在Dubins路径的思想下对智能车辆的行驶路径进行分段研究,并利用经典PID控制对该算法的执行性能进行检验。研究表明:算法能计算出车辆行驶的最短路径,减少了车辆行驶的路径长度,缩短了行驶时间,减少了控制系统的计算量,提高了车辆执行系统的执行力度,降低了执行误差,对最优路径具有较好的选择性。     

机载反辐射导弹和常规反舰导弹协同规划算法

机载反辐射导弹在攻击移动目标时容易受雷达关机影响而丢失目标,和常规主动雷达制导的反舰导弹协同攻击可以有效对抗目标雷达关机。为了达到协同作战目的,载机起飞前已知目标信息情况下,通过计划协同算法确定协同作战方案,方案包括载机和导弹各个航路点位置和到达该位置的时间点,然后按照在机场起飞前就制定好的方案实施具体作战行动。对计划协同算法进行了实例仿真,结果表明算法切实有效。     

The solution to an open problem for a caching game

In a caching game introduced by Alpern et al. (Alpern et al., Lecture notes in computer science (2010) 220–233) a Hider who can dig to a total fixed depth normalized to 1 buries a fixed number of objects among n discrete locations. A Searcher who can dig to a total depth of h searches the locations with the aim of finding all of the hidden objects. If he does so, he wins, otherwise the Hider wins. This zero‐sum game is complicated to analyze even for small values of its parameters, and for the case of 2 hidden objects has been completely solved only when the game is played in up to 3 locations. For some values of h the solution of the game with 2 objects hidden in 4 locations is known, but the solution in the remaining cases was an open question recently highlighted by Fokkink et al. (Fokkink et al., Search theory: A game theoretic perspective (2014) 85–104). Here we solve the remaining cases of the game with 2 objects hidden in 4 locations. We also give some more general results for the game, in particular using a geometrical argument to show that when there are 2 objects hidden in n locations and n→∞, the value of the game is asymptotically equal to h/n for h≥n/2. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 23–31, 2016     

A characterization of optimal base‐stock levels for a multistage serial supply chain

In this article, we present a multistage model to optimize inventory control decisions under stochastic demand and continuous review. We first formulate the general problem for continuous stages and use a decomposition solution approach: since it is never optimal to let orders cross, the general problem can be broken into a set of single‐unit subproblems that can be solved in a sequential fashion. These subproblems are optimal control problems for which a differential equation must be solved. This can be done easily by recursively identifying coefficients and performing a line search. The methodology is then extended to a discrete number of stages and allows us to compute the optimal solution in an efficient manner, with a competitive complexity. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 32–46, 2016     

Expansion planning for waste‐to‐energy systems using waste forecast prediction sets

We consider an expansion planning problem for Waste‐to‐Energy (WtE) systems facing uncertainty in future waste supplies. The WtE expansion plans are regarded as strategic, long term decisions, while the waste distribution and treatment are medium to short term operational decisions which can adapt to the actual waste collected. We propose a prediction set uncertainty model which integrates a set of waste generation forecasts and is constructed based on user‐specified levels of forecasting errors. Next, we use the prediction sets for WtE expansion scenario analysis. More specifically, for a given WtE expansion plan, the guaranteed net present value (NPV) is evaluated by computing an extreme value forecast trajectory of future waste generation from the prediction set that minimizes the maximum NPV of the WtE project. This problem is essentially a multiple stage min‐max dynamic optimization problem. By exploiting the structure of the WtE problem, we show this is equivalent to a simpler min‐max optimization problem, which can be further transformed into a single mixed‐integer linear program. Furthermore, we extend the model to optimize the guaranteed NPV by searching over the set of all feasible expansion scenarios, and show that this can be solved by an exact cutting plane approach. We also propose a heuristic based on a constant proportion distribution rule for the WtE expansion optimization model, which reduces the problem into a moderate size mixed‐integer program. Finally, our computational studies demonstrate that our proposed expansion model solutions are very stable and competitive in performance compared to scenario tree approaches. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 47–70, 2016