Petri网在防空C~3I系统建模与分析中的应用

针对野战防空系统中的火力分配问题,首先为旅营两级防空系统建立了Ｐｅｔｒｉ网模型,并运用时间Ｐｅｔｒｉ网理论对其进行了时延分析,论述了为野战防空火力分配建立辅助决策系统的重要性。最后利用谓词Ｐｅｔｒｉ网描述了火力分配的推理过程,为有效分析战术决策的正确性提供了依据和思路     

炮兵群自动化指挥系统决策组织结构的 Petri 网建模与性能分析

对炮兵自动化指挥系统中决策组织的结构和能力进行了研究,建立了较为完善的各级指挥员指挥决策体系的Ｐｅｔｒｉ网模型。通过有色Ｐｅｔｒｉ网对群一级的炮兵自动化指挥系统在不同任务环境下的不同工作方式进行了建模表示和分析,引入了决策时延这一反应指挥决策体系能力的重要性能指标,并进一步运用马尔科夫链的分析方法对建立的指挥决策体系的Ｐｅｔｒｉ网模型进行定量分析,得出了量化结果,为自动化指挥系统中决策组织结构的设计和分析提供了理论根据。     

基于混合建模方法的三维彩色树木快速模拟算法

在对多种模型进行研究的基础上，提出了一种快速模拟三维彩色树木的高效算法。该算法不仅合理简化了树木的几何拓扑结构和生长规律特性，而且引入了特性良好、计算简单、参数易于控制的随机函数。因此生成树木的种类较多、图形逼真、速度很快，在普通微机上达到了实时的模拟效果。     

A decomposition algorithm applied to planning the interdiction of stochastic networks

We describe the application of a decomposition based solution method to a class of network interdiction problems. The problem of maximizing the probability of sufficient disruption of the flow of information or goods in a network whose characteristics are not certain is shown to be solved effectively by applying a scenario decomposition method developed by Riis and Schultz [Comput Optim Appl 24 (2003), 267–287]. Computational results demonstrate the effectiveness of the algorithm and design decisions that result in speed improvements. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

多媒体网络辅助英语教学模式中教师的作用

随着信息技术的迅猛发展,英语教学改革出现了新的契机。多媒体和网络以其形象化的表达方式,真实的语言环境,建构了开放的教学空间,优化了外语教学环境。这必然会引起外语教学从教材、教学方法、教学手段到整个教学过程的重大变革,大学英语教学模式也将随之发生深刻变化。如何适应这一变化,是教师应该重点考虑的问题。     

基于随机虚拟样机的某型自行火炮扭力轴动力仿真

依据随机动力学、多体系统动力学和数理统计理论,借助MSC\Adams仿真软件和MATLAB工具,提出随机虚拟样机的概念。并以某型自行火炮的扭力轴为例,在建立的虚拟样机上,实现不确定性因素下从底盘整体到悬挂系统、再到扭力轴的动力仿真。     

Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

If the number of customers in a queueing system as a function of time has a proper limiting steady‐state distribution, then that steady‐state distribution can be estimated from system data by fitting a general stationary birth‐and‐death (BD) process model to the data and solving for its steady‐state distribution using the familiar local‐balance steady‐state equation for BD processes, even if the actual process is not a BD process. We show that this indirect way to estimate the steady‐state distribution can be effective for periodic queues, because the fitted birth and death rates often have special structure allowing them to be estimated efficiently by fitting parametric functions with only a few parameters, for example, 2. We focus on the multiserver M_t/GI/s queue with a nonhomogeneous Poisson arrival process having a periodic time‐varying rate function. We establish properties of its steady‐state distribution and fitted BD rates. We also show that the fitted BD rates can be a useful diagnostic tool to see if an M_t/GI/s model is appropriate for a complex queueing system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 664–685, 2015     

Inventory models with nonlinear shortage costs and stochastic lead times; applications of shape properties of randomly stopped counting processes

In this article, we study generalizations of some of the inventory models with nonlinear costs considered by Rosling in (Oper. Res. 50 (2002) 797–809). In particular, we extend the study of both the periodic review and the compound renewal demand processes from a constant lead time to a random lead time. We find that the quasiconvexity properties of the cost function (and therefore the existence of optimal (s, S) policies), holds true when the lead time has suitable log‐concavity properties. The results are derived by structural properties of renewal delayed processes stopped at an independent random time and by the study of log‐concavity properties of compound distributions. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 345–356, 2015     

Optimal FCFS allocation rules for periodic‐review assemble‐to‐order systems

In Assemble‐To‐Order (ATO) systems, situations may arise in which customer demand must be backlogged due to a shortage of some components, leaving available stock of other components unused. Such unused component stock is called remnant stock. Remnant stock is a consequence of both component ordering decisions and decisions regarding allocation of components to end‐product demand. In this article, we examine periodic‐review ATO systems under linear holding and backlogging costs with a component installation stock policy and a First‐Come‐First‐Served (FCFS) allocation policy. We show that the FCFS allocation policy decouples the problem of optimal component allocation over time into deterministic period‐by‐period optimal component allocation problems. We denote the optimal allocation of components to end‐product demand as multimatching. We solve the multi‐matching problem by an iterative algorithm. In addition, an approximation scheme for the joint replenishment and allocation optimization problem with both upper and lower bounds is proposed. Numerical experiments for base‐stock component replenishment policies show that under optimal base‐stock policies and optimal allocation, remnant stock holding costs must be taken into account. Finally, joint optimization incorporating optimal FCFS component allocation is valuable because it provides a benchmark against which heuristic methods can be compared. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 158–169, 2015     

The dynamic and stochastic knapsack Problem with homogeneous‐sized items and postponement options

This article generalizes the dynamic and stochastic knapsack problem by allowing the decision‐maker to postpone the accept/reject decision for an item and maintain a queue of waiting items to be considered later. Postponed decisions are penalized with delay costs, while idle capacity incurs a holding cost. This generalization addresses applications where requests of scarce resources can be delayed, for example, dispatching in logistics and allocation of funding to investments. We model the problem as a Markov decision process and analyze it through dynamic programming. We show that the optimal policy with homogeneous‐sized items possesses a bithreshold structure, despite the high dimensionality of the decision space. Finally, the value (or price) of postponement is illustrated through numerical examples. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 267–292, 2015