一种判别离散型随机变量相互独立的新方法

对两个离散型随机变量相互独立的问题,通过引入分布律矩阵的概念,借助矩阵理论中行向量的相关结论,提出一种新的判别独立的方法。与以往的方法相比,这种方法更为简单和实用,更重要的是具体操作过程中计算量大为减少。     

Optimal pricing and inventory control policy in periodic‐review systems with fixed ordering cost and lost sales

This paper studies a periodic‐review pricing and inventory control problem for a retailer, which faces stochastic price‐sensitive demand, under quite general modeling assumptions. Any unsatisfied demand is lost, and any leftover inventory at the end of the finite selling horizon has a salvage value. The cost component for the retailer includes holding, shortage, and both variable and fixed ordering costs. The retailer's objective is to maximize its discounted expected profit over the selling horizon by dynamically deciding on the optimal pricing and replenishment policy for each period. We show that, under a mild assumption on the additive demand function, at the beginning of each period an (s,S) policy is optimal for replenishment, and the value of the optimal price depends on the inventory level after the replenishment decision has been done. Our numerical study also suggests that for a sufficiently long selling horizon, the optimal policy is almost stationary. Furthermore, the fixed ordering cost (K) plays a significant role in our modeling framework. Specifically, any increase in K results in lower s and higher S. On the other hand, the profit impact of dynamically changing the retail price, contrasted with a single fixed price throughout the selling horizon, also increases with K. We demonstrate that using the optimal policy values from a model with backordering of unmet demands as approximations in our model might result in significant profit penalty. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

兵力需求系统动力学模型研究

针对兵力需求的动态不确定问题,定性分析兵力需求的影响因素及其相互关系,运用Vensim软件构建兵力需求系统动力学模型,定量研究兵力需求相关变量间因果关系及需求变化的动态规律,并进行数值仿真.结果表明,系统动力学用于兵力需求的研究,有效地解决了系统某些参数关系难以量化、数据不足等问题.     

可靠性强化试验通用夹具研究

针对可靠性强化试验中全轴随机振动试验的通用夹具问题展开研究,首先提出了基于全轴随机振动环境多轴非比例加载、非高斯幅值分布、宽频带等特性的全新夹具设计要求,然后通过理论分析得出了夹具设计的一般原则,最后设计实现了一种可靠性强化试验通用夹具,并对该夹具进行了测试验证.全轴随机振动试验的夹具设计是可靠性强化试验在工程应用中的关键技术,该文的研究可以为可靠性强化试验的推广应用提供广泛借鉴.     

记录可寻址随机访问文件的设计与实现

记录可寻址随机访问文件是一种新型ＦＯＲＴＲＡＮ文件,它集中了顺序与直接文件两者的优点,为用户随机访问文件中不等长记录提供了更为有效的手段。本文不仅介绍了其使用方法,而且还讨论了实现中的有关问题。     

再入飞行器落点准确度的统计分析

本文研究再入飞行器的落点准确度(系统性偏差)的检验和估计方法。首先,文中引入了准确度的容许限的概念,在此基础上给出了Bayes验后加权概率比检验方法。关于落点系统偏差的估计,讨论了Bayes估计方法及带有约束的Bayes估计方法。文中注意了充分运用试验前的信息,以便使落点系统偏差的评估能在小子样场合下进行。     

Quantity discount pricing policies for heterogeneous retailers with price sensitive demand

Although quantity discount policies have been extensively analyzed, they are not well understood when there are many different buyers. This is especially the case when buyers face price‐sensitive demand. In this paper we study a supplier's optimal quantity discount policy for a group of independent and heterogeneous retailers, when each retailer faces a demand that is a decreasing function of its retail price. The problem is analyzed as a Stackelberg game whereby the supplier acts as the leader and buyers act as followers. We show that a common quantity discount policy that is designed according to buyers' individual cost and demand structures and their rational economic behavior is able to significantly stimulate demand, improve channel efficiency, and substantially increase profits for both the supplier and buyers. Furthermore, we show that the selection of all‐units or incremental quantity discount policies has no effect on the benefits that can be obtained from quantity discounts. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

Discrete stochastic optimization using variants of the stochastic ruler method

We present two random search methods for solving discrete stochastic optimization problems. Both of these methods are variants of the stochastic ruler algorithm. They differ from our earlier modification of the stochastic ruler algorithm in that they use different approaches for estimating the optimal solution. Our new methods are guaranteed to converge almost surely to the set of global optimal solutions under mild conditions. We discuss under what conditions these new methods are expected to converge faster than the modified stochastic ruler algorithm. We also discuss how these methods can be used for solving discrete optimization problems when the values of the objective function are estimated using either transient or steady‐state simulation. Finally, we present numerical results that compare the performance of our new methods with that of the modified stochastic ruler algorithm when applied to solve buffer allocation problems. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

宽频带随机振动环境的疲劳强度强化机理

全轴随机振动环境的疲劳强化机理问题是可靠性强化试验研究的关键技术之一。针对该振动环境的宽带特性对疲劳失效的强化作用进行了讨论,首先研究影响随机应力疲劳强化效能的相关统计参数,然后分析随机应力的频谱带宽如何影响这些统计参数,最后得到频谱带宽对疲劳强化效能的影响,由此揭示全轴随机振动环境宽频带特性的疲劳强化机理。     

舰艇编队海上运输补给物资需求预测方法

按照是否与任务、事件相关,将物资需求分为两类,对于任务、事件相关物资需求的预测,将任务进行合理的分解,并根据物资消耗与任务、事件之间的关系,给出了预测的一般模型;对于与任务、事件联系不紧密的物资需求的预测,则根据历史经验及该物资固有的消耗规律,提出了经验预测模型。为了解决舰艇编队海上运输补给物资需求预测所存在的问题,利用案例推理的方法生成了预测所需的样本数据,以最小二乘向量机(LSSVM)模型为预测模型,并以岛屿进攻作战的防空弹药需求预测为例进行了实例分析。结果表明:案例推理生成的样本数据可用,选用LSSVM模型的预测结果与其他预测模型表现出了一致性,但LSSVM相对误差较小;该方法在某种程度上解决了样本数据有限的问题,适用于作战物资需求的预测问题。