指数需求下供应链效率和公平度动态演进分析

根据零售商公平关切信息非对称性和动态演进特征,将零供博弈信息结构分为4个演进过程.然后,采用逆向归纳法求解各个过程中供应链主观和客观效率、以"公平熵"计算供应链主观和客观公平度,从而分析零售商公平关切信息非对称对供应链效率和公平度动态演进变化的影响.研究得出:供应链客观效率总是不高于主观效率,零售商公平关切行为和信息非对称使得供应链不能兼顾效率和公平,并使供应链进一步偏离最优.     

指数函数需求下供应链公平偏好信息动态演进研究

在指数函数需求下对零售商公平偏好信息动态演进进行了研究,并与线性需求条件下的研究结论进行了对比分析。研究发现:两种需求条件下可得到相同的结论,如批发价格和零售价格对公平偏好的敏感性分析,批发价格契约不能协调供应链,但却能缓减"双重边际效应"等.同时还发现:两种需求条件下可得到不同的结论,如当零售商为公平偏好类型且信息非对称时,零售商效用、供应链效用在指数函数下随自身公平偏好强度递增而在线性需求函数下随自身公平偏好强度递减等.需求函数的形式会影响供应链中的利润分配,在指数函数需求条件下,零售商利润肯定不比供应商少且只要零售商向供应商传递公平偏好信号,那么零售商就一定能够超过供应商利润,且超过部分随公平偏好度递增.     

双公平关切下第三方回收再制造闭环供应链的动态演进

第三方回收再制造闭环供应链中的零售商通常认为制造商销售利润的实现依赖于其产品销售努力,第三方回收商则认为制造商再制造利润的实现与其废旧产品回收直接相关,因而两者都会十分关注收益分配的公平性.利用博弈理论对双公平关切下再制造闭环供应链定价决策、效率及公平度的动态演进问题进行了研究,揭示了公平关切强度对定价决策、效率及公平度的影响规律,并基于影响规律给出了相应的管理建议.     

公平偏好下基于批发价契约的供应链 协调研究

文中基于Nash讨价还价博弈思想建立公平偏好框架,构建公平偏好效用体系,以此为基础对采用批发价契约的报童模型展开行为研究,采用数理模型和数值分析方法分析了零售商和供应商的公平偏好行为对零售商和供应链系统最优订货量的影响,即零售商和供应商同时关注公平时,零售商和供应链系统的最优订货量趋于保守;并发现零售商和供应链系统的最优订货量随零售商的公平偏好程度增加而递减,但随着供应商公平偏好程度增加而递增,且供应链系统最优订货量变化趋势比零售商明显．然后,在此基础上分析比较得到,无论供应商和零售商是否偏好公平,批发价契约都不能实现供应链协调．最后,对批发价、零售价、供应商生产成本、零售商缺货成本和供应商缺货成本进行敏感度分析．     

Nash讨价还价公平关切框架下闭环供应链定价机制研究

基于纳什讨价还价公平关切理论,通过建模分析,探讨了零售商具有相对公平关切以及制造商和零售商同时具有相对公平关切行为倾向的闭环供应链的定价机制,并用数值分析加以验证.研究表明公平关切行为倾向是零售商和制造商获取其对供应链系统利润分配的一种手段,这种相对公平偏好对闭环供应链系统成员的最优定价决策、效用函数以及闭环供应链系统的效用产生了一定的影响.     

互惠利他偏好下的闭环供应链定价策略

基于具有回报性质的互惠利他偏好建立闭环供应链定价模型,运用博弈理论进行求解分析,探讨了利他偏好与互惠偏好下闭环供应链成员的最优定价策略及其主观效用,并用数值仿真加以验证.研究表明双方互惠偏好会促进零售商降低废旧品回收价,扩充废旧品回收量;决策者的主观效用分别与对方的利他偏好呈正相关关系,且远大于无互惠利他偏好情形,这说明决策者的互惠互利行为倾向可以实现共赢.     

考虑零售商公平偏好的绿色供应链决策与协调研究

当制造商在绿色供应链中处于领先地位时,此时的零售商处于跟随地位,会关注供应链内的利润分配情况.为探究零售商公平偏好行为对绿色供应链的影响,分别构建了三种不同情形下的供应链博弈模型,比较产品的绿色度水平、市场需求以及各成员获得的利润和效用.研究表明,零售商的公平偏好能增加自身渠道利润的比重,但对制造商和整个系统是不利的;...     

随机需求下考虑公平偏好的合作广告协调模型

在随机需求下,运用Fehr和Schmidt提出的公平偏好理论模型探讨了供应链合作广告协调问题,其中零售商具有利己和利他公平偏好.在批发价格契约下分析了零售商的公平偏好对订购和广告策略及渠道协调的影响,结果表明:除了一个测度为零的空间之外,批发价格契约不能协调供应链.设计了能协调供应链的收益共享和广告成本分担契约,并刻画了要完成渠道协调,契约参数须满足的充要条件.研究表明:1)在零售商具有利己公平偏好下,收益共享契约虽能协调供应链,但不能实现渠道收益的任意分配;2)若零售商的利他公平偏好较强,则能协调供应链(实现供应链期望利润最大化)的契约未必是帕累托最优契约,能实现公平分配的协调契约才是最优契约;3)在渠道协调下,零售商的利己和利他公平偏好对其效用均有负面影响.最后利用数值分析验证了相关结论.     

利他偏好下基于批发价格契约的供应链协调

在指数函数需求下,建立两级供应链Stackelberg主从博弈模型,引入供应链成员的利他偏好,分别探讨了仅制造商具有利他偏好、仅零售商具有利他偏好及双方都具有利他偏好三种情形下利他偏好对供应链成员定价决策和利润的影响以及批发价格契约的协调性.相关结论如下:供应链成员的利他偏好能够促进对方利润的增加,但不一定总能够提升供应链整体绩效.当仅有零售商具有利他偏好时,供应链整体绩效水平不变;在仅有制造商具有利他偏好和双方都具有利他偏好下,供应链整体绩效水平介于无利他偏好情形下分散决策与集中决策之间,且在一定条件下能够达到集中决策时的最优绩效水平.这些结论不仅能够为供应链成员选择合作伙伴提供理论支持,也进一步拓展了批发价格契约协调供应链的理论与应用.     

两种公平偏好模型下的供应链定价决策与利润分析

将公平偏好理论引入一对一两级供应链运作之中,以零售商和制造商均为公平中性时的决策结果为参照,分别基于FS模型和BO模型研究零售商公平偏好对供应链定价决策和利润的影响.结果表明:两种模型下零售商的定价决策保持不变;但BO模型与FS模型零售商存在有利不公平厌恶偏好下,制造商的最优批发价格均大于零售商公平中性时的情形,导致零售商的最优利润小于其公平中性时的情形;FS模型零售商存在不利不公平厌恶偏好时,制造商采取批发让价行为,零售商获得比其公平中性时更多的供应链利润.     

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.