Puzzle‐based storage systems

We introduce and develop models for a physical goods storage system based on the 15‐puzzle, a classic children's game in which 15 numbered tiles slide within a 4 × 4 grid. The objective of the game is to arrange the tiles in numerical sequence, starting from a random arrangement. For our purposes, the tiles represent totes, pallets, or even containers that must be stored very densely, and the objective is to maneuver items to an input–output point for retrieval or processing. We develop analytical results for storage configurations having a single empty location (as in the game) and experimental results for configurations with multiple empty locations. Designs with many empty locations can be made to form aisles, allowing us to compare puzzle‐based designs with traditional aisle‐based designs found in warehousing systems. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Probabilistic solution and bounds for serial inventory systems with discounted and average costs

We consider the infinite horizon serial inventory system with both average cost and discounted cost criteria. The optimal echelon base‐stock levels are obtained in terms of only probability distributions of leadtime demands. This analysis yields a novel approach for developing bounds and heuristics for optimal inventory control polices. In addition to deriving the known bounds in literature, we develop several new upper bounds for both average cost and discounted cost models. Numerical studies show that the bounds and heuristic are very close to optimal.© 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Untruthful probabilistic demand forecasts in vendor‐managed revenue‐sharing contracts: Coordinating the chain

Vendor‐managed revenue‐sharing arrangements are common in the newspaper and other industries. Under such arrangements, the supplier decides on the level of inventory while the retailer effectively operates under consignment, sharing the sales revenue with his supplier. We consider the case where the supplier is unable to predict demand, and must base her decisions on the retailer‐supplied probabilistic forecast for demand. We show that the retailer's best choice of a distribution to report to his supplier will not be the true demand distribution, but instead will be a degenerate distribution that surprisingly induces the supplier to provide the system‐optimal inventory quantity. (To maintain credibility, the retailer's reports of daily sales must then be consistent with his supplied forecast.) This result is robust under nonlinear production costs and nonlinear revenue‐sharing. However, if the retailer does not know the supplier's production cost, the forecast “improves” and could even be truthful. That, however, causes the supplier's order quantity to be suboptimal for the overall system. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Production to order and off‐line inspection when the production process is partially observable

This study combines inspection and lot‐sizing decisions. The issue is whether to INSPECT another unit or PRODUCE a new lot. A unit produced is either conforming or defective. Demand need to be satisfied in full, by conforming units only. The production process may switch from a “good” state to a “bad” state, at constant rate. The proportion of conforming units in the good state is higher than in the bad state. The true state is unobservable and can only be inferred from the quality of units inspected. We thus update, after each inspection, the probability that the unit, next candidate for inspection, was produced while the production process was in the good state. That “good‐state‐probability” is the basis for our decision to INSPECT or PRODUCE. We prove that the optimal policy has a simple form: INSPECT only if the good‐state‐probability exceeds a control limit. We provide a methodology to calculate the optimal lot size and the expected costs associated with INSPECT and PRODUCE. Surprisingly, we find that the control limit, as a function of the demand (and other problem parameters) is not necessarily monotone. Also, counter to intuition, it is possible that the optimal action is PRODUCE, after revealing a conforming unit. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Kurtosis correction method for X̄ and R control charts for long‐tailed symmetrical distributions

This paper proposes a kurtosis correction (KC) method for constructing the X? and R control charts for symmetrical long‐tailed (leptokurtic) distributions. The control charts are similar to the Shewhart control charts and are very easy to use. The control limits are derived based on the degree of kurtosis estimated from the actual (subgroup) data. It is assumed that the underlying quality characteristic is symmetrically distributed and no other distributional and/or parameter assumptions are made. The control chart constants are tabulated and the performance of these charts is compared with that of the Shewhart control charts. For the case of the logistic distribution, the exact control limits are derived and are compared with the KC method and the Shewhart method. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

用毁伤概率指标优化二点源诱饵系统布阵

两点源诱偏系统是应用有源干扰的方式,利用反辐射导弹(ARM)本身的缺陷来对反辐射导弹的导引头进行干扰,从而达到保护主战雷达目的的一种有源干扰系统。主要从反辐射导弹的基本原理和有源诱偏的概念入手,对两点源诱偏系统进行理论推导、数学建模、布站设想,后引入毁伤概率指标对各种布站方式进行分类、仿真,对每一种仿真结果进行分析、评估,再把各种分析结果加以比较,从中找出最佳的布站方式。最后利用以上的分析结果,得出几点有用的结论。     

基于Monte Carlo法的地空导弹火力分配优化问题研究

在确定地空导弹对目标的可射击系数、火力重叠修正系数和转火矛盾修正系数的基础上,结合Monte Carlo法的基本原理,介绍了解决地空导弹火力分配优化问题的一般步骤。运用计算机模拟技术,通过算例,证明了该方法的可行性,为有效解决地空导弹火力分配优化问题提供了一种较为科学的方法。     

弹道导弹防御中多目标拦截的策略

多目标拦截是弹道导弹防御的重大难题,也是目前美国导弹防御系统所遇到的最大的技术难点。在将多目标问题分为单弹头攻击和多弹头攻击2类问题的基础上,结合美国的相关研究计划,分别针对核爆炸防御、助推段防御、先进的目标识别器和多拦截器防御等多目标拦截策略进行了分析研究。     

基于冗余的复杂体系动态适应性结构设计研究

针对复杂体系动态适应性研究所存在的问题,提出了复杂体系冗余概念和基于冗余的复杂体系动态适应性结构设计思想,讨论了基于冗余的复杂体系动态博弈设计过程及体系结构;在此基础上,根据复杂体系使命目标的执行特点及体系本身的结构特性,详细地阐述了复杂体系中的任务冗余、系统冗余和结构冗余三种冗余类型,并从冗余切换方式、冗余具体内容和冗余表现性质三个方面论述了复杂体系中各种冗余所组成的冗余体系,指出冗余体系是复杂体系适应环境的一种策略,也是复杂体系不断演化的需要和结果,并且能够为复杂体系动态适应性结构的构建及其效能评估和复杂体系的优化及改进等研究提供一定的理论指导。     

钛酸铅晶体反铁电相至电场感应铁电相相变的研究

仔细研究了PbTiO3电场感应铁电相的晶体结构。在初始反铁电相中,各离子位移方向与极轴垂直,但在外电场感应下,Pb离子沿极轴方向有相同方向0.17的位移,从而使晶体呈现铁电相特征,发生反铁电-铁电相变。此铁电相称之为电场感应铁(EFI)电相。通过结构对称性分析,确定EFI铁电相的对称性是C2mm(C2v),用极矢量Ps作为序参量来描述相变时对称性的变化是合适的。