光通信系统的信道容量

该文讨论了信息论中的一个重要概念信道容量的量子化描述，并证明了量子信道容量具有与经典通信理论中类似的性质．对传递数字特征态的二元光通信系统计算了信道容量．结果表明；为提高光通信系统的信息传输效率，应适当选择信号光以获得较大的信道容量．     

生物遗传信息的传输模型及分析

本文利用信息理论，通过对生物蛋白质的合成及其氨基酸分布的分析，建立了一种遗传信息传输信道的数学模型，计算出信道容量最大时碱基的分布及所合成的氨基酸的分布情况，并且给出了一个生物进化的指标。     

熵损失函数下几何分布可靠度的Bayes估计

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下,可靠度的多层Bayes估计及其容许性,给出了可靠度的多层Bayes估计的计算公式.通过实例验证,在熵损失函数下计算出的几何分布可靠度的多层Bayes估计是稳健的,并进一步表明在熵损失函数下计算出的几何分布可靠度的多层Bayes估计值比其在平方损失函数下算出的结果精度更高.     

求解最大团问题的熵正则化方法

最大团问题是组合优化的一个经典问题.在Motzkin和Straus的二次规划模型基础上,给出一种求解该问题的熵正则化算法.引进熵函数有两个目的,一是将问题的求解纳入信息论方法的框架,二是通过它的引进改善问题的凸性.几个标准考题的计算结果表明,该算法稳定有效.     

离散信道容量的迭代算法

引入信息量偏差概念，给出平均交互信息量关于输入概率的增量公式，设计出离散信道容量线性乘法迭代和线性常系数迭代算法，它们都优于现有的指数迭代算法．并证明在所有单步迭代算法中它们几乎是最好的算法.     

连续对策的最大熵策略密度对策解

对于正方形[0,2]×[0,2]上的连续对策,将局中人的非纯策略(概率分布函数)的导数称为这个局中人的策略密度(概率密度函数).建立了这种连续对策的最大熵理论.主要证明了当每个局中人都没有最优纯策略时,具有最大熵的最优策略密度集合的非空紧凸性,研究了最优策略密度的最大熵,给出一类带有最大熵的连续对策.     

基于最大熵和最小交叉熵方法的上证50ETF期权定价

基于最大熵方法和最小交叉熵方法,给出了根据期权价格推断标的资产价格分布的模型和已知先验信息下推断标的资产价格分布的模型,利用拉格朗日乘子法给出了模型的简化解,通过粒子群算法求出标的资产价格的密度函数,进而对上证50ETF期权进行定价比较.实证结果表明:基于最大熵方法推断的分布可以作为标的资产价格分布的较好估计;基于最小交叉熵方法推断的分布是在先验信息下标的资产价格分布的较好估计,两种方法适用于我国上证50ETF期权定价.     

基于改进遗传算法的自动阈值图像分割方法

图像分割技术在图像分析和图像识别上具有重要意义.传统自适应遗传算法有可能使问题求解陷入局部最优解,而求得错误的图像分割阈值.为了得到最优的图像分割阈值,对交叉率和变异率公式进行了重构,使得交叉率和变异率在任何情况下都不为零.同时,以最大二维熵函数作为适应度函数,采用选择、交叉变异等遗传操作作搜索最优分割阈值.仿真实验表明,该方法可以有效地提高图像分割精度和计算速度.     

基于三角隶属函数和模糊熵的图像增强方法及其相关应用研究

鉴于图像增强技术在生活应用中的重要性,模糊技术在图像应用中的实用性和广泛性,提出了一种基于三角隶属函数和模糊熵的新的图像增强算法(T-FE增强算法),使用三角函数作为隶属函数,重构参数型对比增强算子,运用模糊熵最大原则选取阈值,计算快速,简单.并且将T-FE算法运用于图像分割,边缘检测.通过实验仿真表明,T-FE算法在进行图像处理时有较好效果.     

测量不确定度信息约束下的最大熵分布研究

不确定度报告广泛存在于计量工作中,在不确定度报告的有效周期内,如何利用已有的不确定度信息为后续的测量不确定度评定服务是一个重要的问题.文章以被测量已有的不确定度信息为约束条件,提出了一种结合最大信息熵原理和Heaviside阶梯函数的最大熵分布确定方法,实现被测量分布的推导.同时给出遗传算法计算拉格朗日乘子.通过实例分析发现,当被测量为对称性分布时,基于不确定度信息的最大熵分布与理论分布拟合地较好,而当被测量为非对称性分布时,拟合存在一定的偏差.但在仅有测量不确定度信息的情况下,最大熵分布是对被测量真实分布较好的近似,因而可将此分布用于后续的不确定度评定.     

On the capacity of the continuous time Gaussian channel with feedback

We discuss the capacity of the Gaussian channel with feedback. In general it is not easy to give an explicit formula for the capacity of a Gaussian channel, unless the channel is without feedback or a white Gaussian channel. We consider the case where a constraint, given in terms of the covariance functions of the input processes, is imposed on the input processes. It is shown that the capacity of the Gaussian channel can be achieved by transmitting a Gaussian message and using additive linear feedback.     

Sub‐linear capacity scaling for multi‐path channel models

The theoretic capacity of a communication system constituted of several transmitting/receiving elements is determined by the singular values of its transfer matrix. Results based on an independent identically distributed channel model, representing an idealized rich propagation environment, state that the capacity is directly proportional to the number of antennas. Nevertheless there is growing experimental evidence that the capacity gain can be at best scaled at a sub‐linear rate with the system size. In this paper, we show under appropriate assumptions on the transfer matrix of the system that the theoretic information‐capacity of multi‐antenna systems is upper bounded by a sub‐linear function of the number of transmitting/receiving links. Copyright © 2009 John Wiley & Sons, Ltd.     

产能约束对闭环供应链回收渠道选择的影响

在制造商存在产能约束下,建立了再制造闭环供应链回收渠道决策的Stackelberg博弈模型,得出了三种回收渠道下的回收率、零售价以及制造商、零售商和供应链的利润,分析了制造商的生产能力对回收渠道决策的影响。研究表明:存在产能约束时,制造商回收渠道中的回收率总是最高的,这与无产能约束时零售商回收渠道中回收率最高的情况明显不同;同时,若废旧产品回收转移支付价格较低,制造商会选择自己回收,此时的零售价最低,制造商、零售商和供应链利润最高;若回收转移支付价格较高,制造商会选择零售商回收,此时的零售价最低,制造商和供应链利润最高。     

Quantum proper entropies and additive capacities of quantum information channels

An elementary algebraic approach to unified quantum information theory is given. The operational meaning of entanglement as specifically quantum encoding is disclosed. General relative entropy as information divergence is introduced, and three most important types of relative information, namely, the Araki-Umegaki type (A-type), the Belavkin-Staszewski type (B-type), and the thermodynamical (C-type) are discussed. It is shown that true quantum entanglement-assisted entropy is greater than semiclassical (von Neumann) quantum entropy, and the proper positive quantum conditional entropy is introduced. The general quantum mutual information via entanglement is defined, and the corresponding types of quantum channel capacities as a supremum via the generalized encodings are formulated. The additivity problem for quantum logarithmic capacities for products of arbitrary quantum channels under appropriate constraints on encodings is discussed. It is proved that true quantum capacity, which is achieved on the standard entanglement as an optimal quantum encoding, retains the additivity property of the logarithmic quantum channel entanglement-assisted capacities on the products of quantum input states. This result for quantum logarithmic information of A-type, which was obtained earlier by the author, is extended to any type of quantum information.     

不同渠道偏好和运营成本下双渠道闭环供应链定价决策研究

本文以消费者对传统零售渠道和网络直销渠道的不同偏好和不同渠道运营成本为基础,研究零售商销售新产品并回收废旧产品、制造商开辟网络直销渠道的双渠道闭环供应链中成员的定价决策问题。建立三种不同市场权力结构下的定价博弈模型,用逆向归纳法得到模型的最优解,并用解析分析和数值分析得到消费者的渠道偏好程度和渠道运营成本对定价决策和利润的影响。研究表明:最优直销价格随网络直销渠道偏好程度的增加而上升,最优零售价格随网络直销渠道偏好程度的增加而下降;网络直销渠道运营成本增加对零售商有利但不利于制造商;传统渠道运营成本的增加对所有成员都不利。     

Economic application in a finite capacity multi-channel queue with second optional channel

We consider a finite capacity M/M/R queue with second optional channel. The interarrival times of arriving customers follow an exponential distribution. The service times of the first essential channel and the second optional channel are assumed to follow an exponential distribution. As soon as the first essential service of a customer is completed, a customer may leave the system with probability (1 − θ) or may opt for the second optional service with probability θ (0 ? θ ? 1). Using the matrix-geometric method, we obtain the steady-state probability distributions and various system performance measures. A cost model is established to determine the optimal solutions at the minimum cost. Finally, numerical results are provided to illustrate how the direct search method and the tabu search can be applied to obtain the optimal solutions. Sensitivity analysis is also investigated.     

Impacts of two-stage deterioration on an integrated inventory model under trade credit and variable capacity utilization

The joint economic lot sizing problem (JELP) model provides a global view to facilitate the development of a production-inventory policy for an integrated system. However, when a deteriorating item is involved, previous studies have neglected the following two important issues: (1) the deterioration quantity increases the demand for the supplier's capacity, which consequently requires the supplier to recalculate the corresponding average cost and reevaluate the capacity utilization, and (2) given the supplier's production rate, in-transit deterioration imposes restrictions on the delivery distance or in-transit time. Therefore, the existing integrated policies may lead to infeasible solutions for the distribution channel when a deterioration item is included. In view of these two issues, a generalized JELP model under delay in payments is formulated to investigate the integrated production-inventory policy for an item with two-stage deterioration (in-transit and retail deterioration) while incorporating both transportation time and capacity utilization. By developing the average cost functions of the supply chain members and employing several new definitions (e.g., variable capacity utilization), this paper provides a mechanism for measuring the influence of two-stage deterioration on the supplier's capacity utilization for the JELP. Three algorithms are proposed to obtain optimal decisions based on the theoretical results. This paper demonstrates that the supplier's variable capacity utilization is relevant to transportation time and two-stage deterioration, which can be applied to evaluate the feasibility of the integrated production-inventory policy for the deteriorating item. Furthermore, there is a maximum allowable value for the retailer's order cycle.     

邮轮供应链销售渠道选择与定价策略研究

我国邮轮产业在经历10年快速增长后,自2017年开始进入调整期,分销渠道成为制约其发展的瓶颈之一。为此,本文考虑游客不同渠道支付意愿的差异性,构建邮轮船票销售渠道及销售策略决策模型,对比单渠道邮轮直销、双渠道包船模式和双渠道代理模式等三种销售模式,分析旅行社对扩大邮轮公司市场份额、提升邮轮供应链竞争力的影响程度。结果表明,销售渠道的选择受舱位数、市场规模、旅行社销售邮轮旅游产品努力度等多因素影响。当邮轮市场处于培育期时,邮轮公司倾向于通过单渠道直销模式发展市场。随着市场逐渐成熟,市场需求增加到一定程度时,邮轮公司和旅行社合作成为必然趋势,合作模式选择受佣金率影响。     

基于粗集和熵权-TOPSIS法的高新技术企业自主创新能力评价

科学评价高新技术企业自主创新能力,可加快推进高新技术企业成为自主创新主体.运用粗糙集属性约简区分矩阵算法对高新技术企业自主创新能力评价指标进行约简,通过熵权法客观确定指标权重,采用TOPSIS法进行综合评价.以某市高新技术企业为具体实例,得出按企业登记注册类型分的各类高新技术企业自主创新能力排序,证明了该评价方法的可行性和有效性.     

不完全信息下损失风险的研究

在获得损失分布不完全信息情况下,提出用方差和熵共同度量损失风险的方法.在不完全信息条件下,通过最大熵原理在最不确定的情况下得到最大熵损失分布,并获得了损失分布的熵函数值.用熵值度量损失分布对于均匀分布的离散程度,从而度量概率波动带来的风险;用方差度量损失对于均值的离散程度,从而度量状态波动带来的风险.由于熵是与损失变量更高阶矩信息相联系的,所以新方法是从更全面的角度对损失风险的预测.通过算例,进一步看出在获得高阶矩信息下,熵参与风险度量的必要性.