考虑越库作业的连锁超市配送路径优化研究

针对大型连锁超市物流配送成本较高的问题,通过分析连锁超市的实际情况和越库作业的实施要求,提出越库配送运作模式.以车辆运输成本、操作成本和库存持有成本最小化为目标,建立带有多越库配送中心的车辆路径模型,将配送过程分为集货、送货两阶段,同时,考虑到产品种类需求的多样化,采取集货过程车辆协同进行和送货过程车辆需求拆分的方式.针对问题的特点设计了一个求解的遗传算法,通过扫描算法优化初始种群,最后结合算例对模型和算法进行验证分析.结果表明,越库作业能有效地提高连锁超市的运作效率,降低超市物流成本.     

基于零售商主导型供应链优化的营销产品设计

零售商的供应链管理及运作改善是企业管理领域的一个热点问题.针对中国连锁零售企业的实际情况和存在的问题,建立了一种零售商主导型供应链管理优化模型,设计了一种可以有效提升零售商品销售的营销产品—“销售助手”.模型分析与产品实践表明:商品营销是当前连锁零售商的发展瓶颈,设计一种高性价比的营销产品及策略是改善零供关系等问题的关键,最后讨论了“销售助手”成功应用的一些管理启示.     

零售连锁超市经营绩效影响因素的模糊聚类分析——以山西省太原地区为例

运营绩效既反映零售连锁超市现实竞争力,更影响企业长远发展,因此识别影响零售连锁超市经营绩效的关键因素具有重要意义.在调研访谈基础上从企业运营角度构建了零售连锁超市绩效影响因素集,使用模糊聚类分析工具,实现了对这些影响因素的主从排序,找到了影响零售连锁超市日常运营绩效的核心因素,并对这些因素进行了针对性分析.最后以山西太原地区为例进行了实例研究.     

基于低碳排放的车辆路径优化问题研究

研究了基于低碳排放的锦州JS配送公司的车辆路径优化问题.首先通过分析目前锦州JS配送公司的车辆路径规划方案发现该公司在规划路径时只关注路径最短,而忽视了碳排放成本.然后通过具体分析配送过程中能源消耗的来源,考虑车辆自重和载重、车辆出行距离等对配送能源消耗的影响,建立了以极小化碳排放成本为目标的车辆路径优化问题的混合整数规划模型,通过求解模型得到新的配送路径优化方案.优化后的配送方案比原先的配送方案减少了14.16万元的碳排放成本.研究结果对物流企业降低碳排放具有指导意义.     

一类多对多物流系统的运送频率选择优化问题研究

多供应商多客户物流系统的周期运送库存决策问题是一个非常复杂的问题,但它在供应链管理中又极其重要.本文主要考虑一个由多个供应商、一个联运中心和多个客户组成的三级物流系统的运送频率选择优化问题.假定两级库存均采用周期补货策略,且补货周期满足二次幂(POT)策略,每个客户处的产品需求为确定性需求.假设给定一套可行频率的情况下,选择使整个系统总的长期平均成本最小化的联运中心的补货策略和联运中心到各客户的配送策略.分为单频率配送和多频率配送两种情况分别建立了数学模型,并设计了相应的近似算法——基于支配性的邻域搜索启发式算法和基于饱和性的邻域搜索启发式算法.计算试验显示,本文所设计的近似算法对于求解多对多配送这样的大型组合优化问题是有效的.     

多商品分批次取送货的模糊需求车辆路径问题

为解决连锁企业库存不平衡问题,本文研究了考虑多商品多批次取送货的模糊需求车辆路径问题。该问题综合考虑了多货混装、多次访问、供需未匹配、客户需求不唯一以及需求不确定等因素。本文以运营成本最小为目标,构建MCVRPSPDFD数学模型,模型利用可信测度理论应对决策环境中的不确定因素,通过改进的禁忌搜索算法进行求解。为适应模型需求和提升运算效率,算法设计了合理的初始种群形成过程及编码解码方式,并通过参数测试选取合适的参数。算例结果显示,本文成果能有效解决连锁企业库存不平衡问题,决策者偏好值的变动会对运营成本产生影响。     

求解硬时间窗约束下随机需求库存-路径问题的优化算法

随机需求库存-路径问题(Stochastic Demand Inventory Routing Problem, SDIRP)即考虑随机需求环境下供应链中库存与配送的协调优化问题,是实施供应商管理库存策略过程中的关键所在,也是典型的NP难题之一。文章以具有硬时间窗约束的随机需求库存-路径问题(Stochastic Demand Inventory Routing Problem with Hard Time Windows, SDIRPHTW)为研究对象,将SDIRPHTW分解为直接配送的随机库存-路径问题和具有硬时间窗约束的路径优化问题两个子问题,并以最小化系统运行成本和用车数量为目标,设计了一个基于(s,S)库存策略和修正C-W节约法的启发式算法。最后,通过相应的数值算例验证了算法的有效性。     

基于物料超市的混流装配线准时化物料配送调度

针对混流装配线物料配送优化问题，结合新型的物料超市配送模式，提出了区别于传统周期性配送的准时化配送方法。首先，根据问题描述和相关假设构建了以线边库存最小化为目标的混合整数规划模型。然后，考虑到实际生产的连续性和复杂性，为求解大规模问题，设计出适用于问题的启发式算法，并与遗传算法进行比较，启发式算法能在更短时间内获得满意解。最后，在不同牵引拖车容量下，通过实例分析，与广泛应用的周期性配送进行比较，算例求解结果表明，准时化配送模型能够获得更低的库存水平，减少工作站的空间占用。     

考虑疫情风险与双重时效性的生鲜品供应中断库存控制策略研究

为解决重大疫情引发的供应中断导致生鲜品库存水平振荡,在市场需求随机变化的情形下,建立一个由供应商、配送中心和零售商组成的三级生鲜供应链库存系统,考虑由疫情引起的三种风险情景,引入系统动力学模型对零售商动态库存系统运营进行仿真分析。研究发现：受疫情风险传导系数和变质率两个序参量影响,供应链库存呈现振荡趋势;通过确定不同供应中断时长下的疫情风险情景提出优化保鲜投入策略、安全库存策略、以及共享库存联合提前转运策略有效降低零售端库存水平振荡并使其呈现渐稳趋势,实现产品在交付过程中的双重时效性,达到供需匹配,缓解疫情风险带来的影响,为相关零售企业提供决策支持。     

供应链多级系列系统库存控制策略

供应链管理的目标是通过成员间的密切合作和信息共享,以最小的成本提供最大的客户价值(包括产品的服务),这就要求供应链上各节点企业的活动同步进行,对库存管理职能进行必要的整合,集中管理整个供应链系统的库存,从而降低整个供应链的库存成本.基于供应链多级系列系统为研究对象,给出了在需求率为恒定情况下的级库存的表达方式,提出了递归搜索的概念,并采用该办法求出了多级系列系统的最佳订货周期及批量,计算出了多级系统最小总费用.     

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.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

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.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

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].