竞争环境下基于退换货的网购供应链动态均衡研究

研究竞争环境下基于退换货的网购供应链动态均衡模型.此供应链包含多个生产商、电商、快递商及需求市场.将快递商的运输速度作为竞争的一个重要因素进行研究.通过正弦函数说明,网购供应链的市场需求也呈季节性变化.利用纳什均衡及变分不等式得到各层决策者的竞争均衡解.通过分析换货比重得出电商应减少消费者的退货率,以提高整条供应链的利润和竞争能力.并利用数值算例说明模型的正确性与合理性.     

网购供应链网络均衡模型研究

本文假设网络零售商和消费者之间商品流既可以通过顾客自提的方式实现,也可以通过快递服务的方式实现,建立了电子商务环境下的网购供应链网络均衡模型,网络中包含四级决策主体,分别是:制造商、网络零售商、快递服务商和消费者。在分析快递服务商的竞争行为的基础上,得到了基于变分不等式的竞争均衡条件。并指出网购消费者的决策行为与一般购物行为存在差异,即网购消费者的决策准则是基于商品价格、快递服务价格和物流配送时间等因素的综合成本函数。综合各级决策者的均衡条件,定义了网购供应链网络系统的整体均衡条件,并给出了经济解释。最后给出算例。     

线上商品与多种快递服务的组合优化研究

针对网上销售的商品所捆绑的快递服务无法满足顾客多样化需求,而快递服务商又失去了市场空间的问题,提出一种“线上商品+多种快递服务”的组合销售模式,以扩大电商的市场规模,提高快递服务商的利润和差异化竞争水平。在市场细分和顾客需求调查的基础上,综合考虑电商、快递服务商、网购顾客三方的利益,以快递服务商收益最大为目标,构建基于顾客选择行为的“线上商品+多种快递服务”组合销售模式优化模型。以SP调查为数据基础,优化线上商品与多种快递服务的组合销售模式及确定各组合销售模式的均衡价格。模型的求解结果准确地揭示了顾客在网上购物时的快递服务选择行为、快递服务商的末端利润与组合模式之间的关系。     

基于风险偏好的供应链企业社会责任投入与定价策略研究

本文研究制造商承担企业社会责任时,竞争市场下供应链的均衡价格策略。通过Stackelberg博弈模型,探讨供应链成员的风险规避程度、竞争市场的需求波动性和竞争市场的需求相关性以及制造商企业社会责任水平对供应链均衡策略的影响。研究表明,在制造商承担企业社会责任时,风险规避程度对价格策略的影响依赖于制造商企业社会责任水平的高低;竞争市场的需求波动性较大或竞争市场需求相关性较高时,制造商向下游风险规避型零售商提供较低的批发价格合约, 此时产品的市场价格降低,消费者福利增加;当制造商的生产成本较低时,承担越高的企业社会责任导致消费者福利增加;反之,当制造商的生产成本较高时,消费者福利总是减少。     

考虑双边服务水平的网购服务供应链协调契约

本文考虑了由单个网络商店和单个第三方物流企业(TPL)所构成的二级网购服务供应链,在双方服务水平同时影响市场需求的情况下,研究了网购服务供应链的服务质量协调问题。通过对比分散式和集中式供应链中各方的均衡决策,指出传统价格契约的不足,提出采用收益共享契约对供应链进行协调,并分析了该契约实现供应链协调的条件和局限。研究结果表明:收益共享契约能激励双方提高服务水平、实现供应链协调;协调契约实施前后各方的基本服务水平对各自的收益和服务决策均有正向影响,且相应的影响在协调契约下更明显。此外,研究还指出供应链系统可能会因TPL服务能力不足发生服务拥塞,使得系统运营效率降低。最后,通过算例验证了收益共享契约的有效性,并对主要参数的灵敏度进行了分析。     

基于差异化战略的跨境电商竞争策略研究

随着国际贸易和信息技术的不断推进,跨境电子商务在全球范围内呈爆发式地增长。因为跨境电商产品经常需要进行长距离的运输,适合其销售的种类是有限的,因此如何制定差异化战略从而在日益激烈的竞争中胜出,是许多跨境电商企业急需解决的问题。本文考虑一个包含海外供应商、平台型电商和自营型电商的双渠道跨境供应链,运用博弈模型分析了消费者偏好对商家制定差异化竞争策略的影响,并得到集中决策和分散决策下的最优产品定价和最优服务水平。分析得出,商家间的服务差异化程度与跨境电商总利润以及消费者的渠道偏好的关系受综合因素影响,单纯提高服务差异化程度并不一定能提高自身的竞争力和跨境供应链的效益;实施集中策略且服务差异度高的跨境供应链可以获得更多的利润。     

动态供应链网络均衡模型构建与分析

基于单一商品流,考虑了时间变量和库存问题,建立了三层动态供应链网络结构模型.对制造商、零售商和需求市场的多期独立决策行为及其相互作用进行了分析,应用变分不等式构建了各层均衡模型和整个供应链网络均衡模型.最后与相关文献的模型进行了比较.     

随机需求下的多条竞争供应链的网络均衡模型

针对供应链与供应链竞争问题,研究随机需求下多条竞争供应链网络之间的竞争行为。通过定义产品市场链说明供应链网络之间是如何竞争的,在市场需求是随机且产品的品牌有差异的情况下,利用多项式logit模型以及变分不等式的方法,构建了具有随机需求的多条竞争供应链的网络均衡模型.模型很好的刻画了包含多条供应链,且每条供应链具有多个层次的供应链网络之间的竞争行为,研究表明供应链与供应链的竞争可以看作是由核心企业所决定的供应链网络之间的竞争.最后,通过一个算例说明了模型的合理性和有效性.     

随机环境下考虑回收定价和销售定价的逆向供应链优化与协调研究

由再制造商和分销商组成的逆向供应链中,再制造商回收的废旧产品数量是与回收价格相关的随机变量,分销商面临的再制造产品需求是与销售价格相关的随机变量.再制造商决策回收价格并向分销商提供合同,分销商基于合同作出反应来决策订购数量和销售价格,目标是在随机回收和随机需求下最大化各自的期望利润.利用博弈论和优化理论,分别得到了分散式和集中式供应链系统下的最优决策,证明了分散式系统中的回收价格和再制造数量偏低而销售价格偏高,并提出了综合三种基本合同的供应链协调机制.最后通过数值仿真得到了系统参数对供应链决策和利润的影响.     

基于网络顾客行为意向的物流服务供应链定价策略

就一个运营网络购物的供应链,分析物流服务需求方和服务提供方的定价和服务水平决策等问题。在成本共担优化模型中考虑基于顾客购买行为意向的产品需求函数,进而分别给出非合作、准合作和完全合作模式下供应链企业决策间的关系,以及网购顾客重购概率对最优定价策略的影响。结论有:证明三种合作模式下双方最优策略的存在性及存在条件;给出最优产品定价策略和服务定价策略间的数量关系,并证明其与网购顾客行为意向有关。数值分析表明,最优定价策略随服务水平和网购顾客重购概率的变化趋势受成本共担系数的影响;较小的成本分摊系数使最优产品定价随着服务水平和网购顾客重购概率的变化幅度增大。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.