Performance analysis of the cultural and creative industry: a network‐based approach

The cultural and creative industries (CCIs) in Taiwan have gradually contributed to the national economy under the impetus of government policies. We employ a two‐stage data envelopment analysis model with an additive efficiency decomposition approach to measure the profitability and marketability of 22 Taiwanese cultural and creative companies. Furthermore, we employ the network‐based ranking approach to identify benchmark inputs/outputs, and the strengths and weakness of each company. Our empirical results show that the profitability of the cultural and creative companies is better than their marketability. Companies in the industries of publishing, creative life, popular music, and cultural content averagely perform better than those in the other three types of CCIs in terms of profitability. Companies in the creative life industry are on average more efficient than those in the other five types of CCIs in terms of marketability. The profitability/marketability matrix of cultural and creative companies is also presented.     

三维静磁场Lipschitz区域上Robin问题广义解的存在与唯一性

近年来,电磁场边值问题的数值解法取得了飞速的发展．由于电磁场边值问题是一类非线性偏微分方程,研究解的存在性、唯一性具有较大的困难．前人已讨论了B-H间的几个基本不等式,并由之证明了三雏静磁场带零边值问题广义解的存在与唯一性,作者也曾利用给出的B-H间的不等式证明了三维静磁场Neumann问题和二维时变场第一边值初值问题广义解的存在与唯一性．由于在一般区域讨论存在困难,作者利用Sobolev空间理论及单调算子理论证明了三雏静磁场Lipschitz区域上Robin问题广义解的存在与唯一性．     

三架固定翼无人机协同编队飞行避障策略

针对无人机编队执行空战任务过程中存在无人机之间以及无人机与障碍物发生碰撞的问题,提出单向网络连接结构的多无人机避障算法和基于人工势场的控制方法,同时应用于无人机编队避障控制。以三架无人机构成的正三角形编队作为控制体,同时以长机的运动轨迹作为期望路径,长机提供僚机飞行信息,僚机接受信息保持编队飞行。多无人机编队发现障碍物到避障完成的过程包括编队集结、松散队形、最终恢复集结正三角形编队。仿真实验结果表明,所提避障控制策略能够确保编队收敛于期望的队形和稳定飞行状态。     

Purchase and retrieval competition for seasonal produce

We study the competition problem of purchase and multiretrieval of perishable seasonal produce, where wholesalers purchase and stock their products in the first period, and then retrieve and sell them in subsequent periods. We first consider the duopoly case and assume that the prices are exogenous and fluctuate. In each period, after the price realization, the wholesalers retrieve some stock from their warehouses to satisfy their demands. One wholesaler's unsatisfied customers can switch to another and be satisfied by its left retrieved products. Any unsold retrieved stock has no salvage value and any unsatisfied demand is lost. The unretrieved stock is carried to the next period at a perishable rate. The wholesalers compete for the substitute demand by determining their own purchase and retrieval quantities. We show the existence and uniqueness of a pure-strategy Nash equilibrium, and that the Nash equilibrium strategy has the simple “sell-down-to” structure. We also consider the general N-person game and show the existence of the Nash equilibrium, and characterize the structure of the equilibrium strategy for the symmetric case. In addition, we consider the case with endogenous prices, and show that the problem reduces to a repeated newsvendor game with price and inventory competition. We derive the conditions under which a unique Nash equilibrium exists and characterize the equilibrium strategy. Finally, we conduct numerical studies to examine the impacts of the model parameters on the equilibrium outcomes and to generate managerial insights.     

Optimal policies for stochastic clearing systems with time-dependent delay penalties

We study stochastic clearing systems with a discrete-time Markovian input process, and an output mechanism that intermittently and instantaneously clears the system partially or completely. The decision to clear the system depends on both quantities and delays of outstanding inputs. Clearing the system incurs a fixed cost, and outstanding inputs are charged a delay penalty, which is a general increasing function of the quantities and delays of individual inputs. By recording the quantities and delays of outstanding inputs in a sequence, we model the clearing system as a tree-structured Markov decision process over both a finite and infinite horizon. We show that the optimal clearing policies, under realistic conditions, are of the on-off type or the threshold type. Based on the characterization of the optimal policies, we develop efficient algorithms to compute parameters of the optimal policies for such complex clearing systems for the first time. We conduct a numerical analysis on the impact of the nonlinear delay penalty cost function, the comparison of the optimal policy and the classical hybrid policy (ie, quantity and age thresholds), and the impact of the state of the input process. Our experiments demonstrate that (a) the classical linear approximation of the cost function can lead to significant performance differences; (b) the classical hybrid policy may perform poorly (as compared to the optimal policies); and (c) the consideration of the state of the input process makes significant improvement in system performance.     

时域电场积分方程中的奇异提取技术

介绍了一种基于奇异提取技术的时域积分方程中奇异积分的处理方法,在奇异提取过程中,电磁波传播的延迟效应对积分的贡献包含在内。数值实验表明该方法能够大幅提高自作用和近作用阻抗矩阵元素的计算精度。     

一种时域标量场平面波算法的改进方法

基于现有时域平面波(PWTD)算法,提出了一种对时域标量场平面波算法的改进方法。此方法将现有算法中的插值计算改为制表查询,并给出了其最大误差。另外,还将现有算法中转移算子中对时间求导提到算法最外层,将原先所需的(K 1)(2K 1)次FFT和IFFT计算减少为一次FFT和IFFT计算。最后算例证明当算法选取适当参数值时,可获得需要的计算精度,并验证了改进算法所需计算时间远少于现有算法。     

基于磁流变阻尼器的车辆悬挂二自由度模型控制算法

将磁流变(MRF)新型阻尼减振器用于车辆悬挂减振系统中,用以实现变阻尼式履带车辆悬挂系统半主动控制。在基于线性二次型最优控制理论(LQR法)的基础上,对车辆悬挂系统的半主动控制算法进行了深入研究,建立了二自由度1/4车体的动力学模型,并对其控制效果进行了仿真,结果表明这种半主动控制算法对车辆悬挂系统的半主动有着很好的效果。     

基于Solidworks二次开发的两栖车辆浮态设计及静稳性分析

建立了描述车辆姿态向量和重力向量的两个坐标系,研究了姿态向量与坐标变换之间的关系,根据Solid-Works提供的函数,利用二分法求解了给定姿态下的浮心位置;以浮心计算为基础,通过对车辆的受力分析和运动分析,确定了车辆浮态的计算方法;利用SolidWorks的API函数进行二次开发,形成了计算静稳性的程序,并进行了实例计算。结果表明：与传统的作图法相比较,该方法计算结果更精确,计算速度更快。     

动态逆和变结构控制理论的BTT无人机控制系统设计

基于动态逆和变结构控制理论设计了BTT无人机控制系统,首先应用时间尺度理论将控制系统分为快变量和慢变量两个子系统.在快变量子系统中以[p,q,r]为子系统输出、以计算力矩[l,m,n]为控制输入,再根据子系统输入解算出舵面偏转角,在控制律的设计中,应用动态逆理论进行输入输出线性化,再以计算力矩偏差为子系统摄动设计变结构控制律.在慢变量子系统中以[α,β,μ]为子系统输出、以[p,q,r]为控制输入,在控制律设计中,应用动态逆理论进行输入输出线性化,再以计算气动力偏差为子系统摄动设计变结构控制律.整个系统的设计中需要确定气动导数的上下界,控制律设计简单,易于工程实现.最后仿真分析得出,这种方法有较好的控制效果.