指派问题的降阶优化算法

指派问题是运筹学中特殊线性规划中的一类问题。在现实生活中,指派问题非常普遍,常常可以见到各种各样的指派问题。通过对指派问题的数学模型进行分析,提出了与以往方法不同的求解指派问题的一种新的思路,通过对几个定理的研究,给出了一种新的求解方法——降阶优化算法。对求解指派问题提供了一种新的途径,在运筹学等领域有着较好的应用前景。     

SEA的侦察与监测系统效能分析

侦察与监测系统已成为现代C3I系统的重要组成部分,其效能评估既有C3I系统的一般性又有自身的特殊性。首先在一般系统效能含义上定义了侦察与监测系统的系统效能,比较了几种典型的C3I系统评估方法。在此基础上,将SEA方法应用于分析侦察与监测系统效能,并将情报信息量作为效能度量的指标。最后给出了分析计算过程和仿真结果。     

防空导弹制导雷达综合抗干扰能力评估

分析了地空导弹武器系统制导雷达面临的主要干扰及其所采取的主要抗干扰措施,一般层次分析法(AHP)在评估某些模糊概念时存在缺陷。基于模糊层次分析法(FAHP),构造了模糊一致判断矩阵,建立了防空导弹制导雷达综合抗干扰能力评估模型,该模型具有快速、易于操作等优点,解决了在评价制导雷达综合抗干扰能力时难以定量分析的问题。     

Repairable consecutive‐k‐out‐of‐n: F system with Markov dependence

In this article, a model for a repairable consecutive‐k‐out‐of‐n: F system with Markov dependence is studied. A binary vector is used to represent the system state. The failure rate of a component in the system depends on the state of the preceding component. The failure risk of a system state is then introduced. On the basis of the failure risk, a priority repair rule is adopted. Then the transition density matrix can be determined, and the analysis of the system reliability can be conducted accordingly. One example each of a linear and a circular system is then studied in detail to explain the model and methodology developed in this paper. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 18–39, 2000     

坦克炮塔方向机不自锁情况分析

59式坦克和62式坦克炮塔方向机,在使用中多次出现过不自锁现象,针对这种情况,从设计上找出了原因,提出了防止不自锁的措施,并对改进的第二代、第三代炮塔方向机自锁情况进行了剖析.     

软硬交替多层膜法向压入过程的有限元分析

采用大变形弹塑性有限单元法,对高速钢基体上的软硬交替多层膜在法向压痕作用下的力学行为,进行了模拟和分析.为了研究膜层数和膜厚的影响,对从单层到16层的不同膜层体系进行了计算.通过对诸如膜层的变形、最大应力随膜层数的变化、界面剪应力分布、表面张应力分布等的分析,得出了这些参数的分布及其对膜层体系的摩擦学性能的影响.这些结果可为多层膜的结构优化设计提供定量的依据.     

不同截面形状复合长杆弹对陶瓷复合靶板侵彻研究

采用数值模拟技术研究了由3种不同截面形状的钨芯外包覆一层钢,形成的钢包覆层复合长杆弹在入射速度为1200m/s～1700m/s时对陶瓷/金属复合靶板的侵彻过程。结果表明:对于同一入射速度、相同弹体长度、同种材料的弹芯和包覆层以及靶板材料而言,等面积的六边形截面钨芯复合长杆弹的侵彻深度明显大于圆形及方形截面,方形及六边形截面与和它们等外接圆形成的圆形截面复合长杆弹侵彻深度没有明显差别,本研究认为这是与不同截面钨芯的外接圆直径直接相关。六边形截面长杆弹侵彻过程中的自锐化现象是其侵彻深度明显大于其它两种弹体的主要原因。     

Effect of tool rotational speed on the particle distribution in friction stir welding of AA6092/17.5 SiCp-T6 composite plates and its consequences on the mechanical property of the joint

This study investigates the effect of tool rotational speed (TRS) on particle distribution in nugget zone (NZ) through quantitative approach and its consequences on the mechanical property of friction stir welded joints of AA6092/17.5 SiC_p-T6 composite. 6 mm thick plates are welded at a constant tool tilt angle of 2° and tool traverse speed of 1 mm/s by varying the TRS at 1000 rpm, 1500 rpm and 2000 rpm with a taper pin profiled tool. Microstructure analysis shows large quantity of uniformly shaped smaller size SiC particle with lower average particle area which are homogeneously distributed in the NZ. The fragmentation of bigger size particles has been observed because of abrading action of the hard tool and resulting shearing effect and severe stress generation due to the rotation of tool. The particles occupy maximum area in the matrix compared to that of the base material (BM) due to the redistribution of broken particles as an effect of TRS. The migration of particles towards the TMAZ-NZ transition zone has been also encountered at higher TRS (2000 rpm). The microhardness analysis depicts variation in average hardness from top to bottom of the NZ, minimum for 1500 rpm and maximum for 2000 rpm. The impact strength at 1000 rpm and 1500 rpm remains close to that of BM (21.6 J) while 2000 rpm shows the accountable reduction. The maximum joint efficiency has been achieved at 1500 rpm (84%) and minimum at 1000 rpm (68%) under tensile loading. Fractographic analysis shows mixed mode of failure for BM, 1000 rpm and 1500 rpm, whereas 2000 rpm shows the brittle mode of failure.     

Effects of jute fibre content on the mechanical and dynamic mechanical properties of the composites in structural applications

Due to notable characteristics, sustainability concept and environmental issues, hybridisation natural with synthetic fibres to fabricate composites have been rapidly gaining market share in different applications (structural, military, aerospace and automotive vehicles). Compression, tension and fatigue tests of various stacking sequences of plain jute/carbon reinforced (PVB) polyvinyl butyral by hot hydraulic press technique were experimentally conducted. Six types of fabricated composites with various constituents (jute, carbon and their hybrids) were fabricated and tested. Notably, fatigue lifetime of hybrids increases with increasing the carbon content relative to the jute fibre content. On the other hand, Jute composites possess high strain compared to pure carbon composite, which gives an overall improvement in mechanical behaviours. Interestingly, H1 hybrid with Carbon/Jute/Carbon sequences offers similar fatigue stiffness behaviour of H3 hybrid with Carbon/Jute/Carbon/Jute sequences when subjected to cyclic loading. Carbon composite (C) exhibited the highest fatigue resistance, whiles jute composite (J) possessed the highest strain and semi brittle trends in both mechanical and fatigue performance. Results concluded that plain jute fibres could partially replace high-cost synthetic carbon fibres to produce more eco-friendly hybrids to be utilised in different composites industries.     

Spatial pricing and product allocation in online retailing

Spatial pricing means a retailer price discriminates its customers based on their geographic locations. In this article, we study how an online retailer should jointly allocate multiple products and facilitate spatial price discrimination to maximize profits. When deciding between a centralized product allocation ((i.e., different products are allocated to the same fulfillment center) and decentralized product allocation (ie, different products are allocated to different fulfillment centers), the retailer faces the tradeoff between shipment pooling (ie, shipping multiple products in one package), and demand localization (ie, stocking products to satisfy local demand) based on its understanding of customers' product valuations. In our basic model, we consider two widely used spatial pricing policies: free on board (FOB) pricing that charges each customer the exact amount of shipping cost, and uniform delivered (UD) pricing that provides free shipping. We propose a stylized model and find that centralized product allocation is preferred when demand localization effect is relatively low or shipment pooling benefit is relatively high under both spatial pricing policies. Moreover, centralized product allocation is more preferred under the FOB pricing which encourages the purchase of virtual bundles of multiple products. Furthermore, we respectively extend the UD and FOB pricing policies to flat rate shipping (ie, the firm charges a constant shipping fee for each purchase), and linear rate shipping (ie, the firm sets the shipping fee as a fixed proportion of firm's actual fulfillment costs). While similar observations from the basic model still hold, we find the firm can improve its profit by sharing the fulfillment cost with its customers via the flat rate or linear rate shipping fee structure.