考虑退货情形下的闭环供应链双源库存控制策略

假设再制造闭环供应链由单个制造商和单个零售商组成,考虑制造商产品回收率、退货率和废旧产品再制造率的不确定性,建立再制造环节废旧产品的最优检测时间、购买时间和闭环供应链最低成本的数学模型.利用回收率、退货率和再制造率计算废旧产品的最优检测和购买的时间间隔,分析再制造环节中双源库存的成本最小化问题.研究表明:再制造环节可降低闭环供应链的双源库存成本,但随着回收率的增加,总成本先下降后增加;在回收率、退货率和再制造率三者共同作用下,最优检测和购买时间间隔的设置可降低双源库存成本,优化资源配置.     

时变需求等量进货情形下集成供应链生产订货策略研究

构建了一个包含原料采购、生产和销售过程的集成供应链模型,研究了由原料、生产商和销售商产品构成的三层库存系统的生产订货问题。在有限的规划期内,销售商每次进货量相同,生产商按照EOQ模型采购原材料。以最小化供应链系统的总运营成本为目标,构建一个混合整数非线性规划模型,寻找销售商最优订货方案和生产商最佳生产策略。首先利用网络优化方法求解生产商的最优生产计划,其次利用定界穷举法寻求销售商最优的订货周期,给出了具体的计算方法和Matlab程序。通过算例分析验证了算法的有效性,并研究了各参数对最小费用及最优解的影响。     

提前期需求为模糊随机条件下的连续库存补货策略

考虑提前期内需求为模糊随机变量且提前期为可缩短情形下,建立由购买商和供应商所组成的简单供应链连续库存补货策略优化模型,其中订单量、再订货点和提前期为决策变量.首先推导出模糊随机需求条件下购买商和供应链的成本函数,然后,进一步考虑总需求为三角模糊数,推导出供应商、购买商和供应链的模糊成本函数.在此基础上分别从购买商成本最小和供应链成本最小角度对模型进行求解,结合具体算例对模型进行应用分析和比较分析,结果表明模型具有有效性和实用性,并得出如下结论:从购买商本身角度考虑订购策略所产生的供应链成本总是大于从供应链整体角度考虑订货策略所产生的供应链成本,同时从购买商本身角度考虑订货策略所产生的最优订购量、购买商成本低于从供应链整体角度考虑订货策略所产生的最优订购量、购买商成本.     

考虑合同保质期的快速失效药品的二级供应链库存策略研究

医院药品对保质期和服务水平有非常高的要求,同时,药品的库存空间在医药库存中也有重要影响。首先针对快速失效的医药药品考虑了医药库存的合同保质期以及库存空间约束,同时考虑医院库存以及制造商库存,基于经济订货批量模型和经济生产批量模型建立了二级供应链的医药库存模型,然后用MATLAB软件求解了模型最优解,并对一些重要参数进行了敏感性分析。研究发现,合同保质期对医院订购批量、制造商生产批量和总库存成本有一定的影响,其中对于制造商的生产批量以及医院的库存成本影响较大。如果不考虑合同保质期的约束,将会对总库存成本带来更大损失。     

Supply Hub下基于时间窗的供应链协同研究

以装配系统为研究对象,建立了随机零部件补货提前期下两个供应商对单制造商的准时供货模型.在制造商采取货齐付款的结算方式及交货时间窗模式下,研究了两个供应商的最优交货提前期决策.研究结果表明:一是交货时间窗策略能有效降低供应商的成本,而且时间窗越长,供应商的成本越低,但仅仅依靠单一的交货时间窗策略不能完全协调整个供应链;二是通过调整供应商延迟交货的惩罚成本,如增大对供应商的延迟交货惩罚,可实现供应链的协调.     

考虑销售时机的季节性商品批发价定价和质量披露管理

零售商在销售季节性商品时采取预售策略能有效降低需求不确定性,然而预售期的延长会使零售商延迟订货时间,最终压缩制造商的生产时间。本文研究制造商如何制定最优批发价定价和质量披露策略,影响零售商的预售行为,并对两种策略下供应链的收益进行分析对比,计算得到制造商策略选择的临界质量披露成本。通过算例验证了随着需求对价格敏感度降低,供应链在两种策略下的收益差呈现逐渐减小的趋势。     

资金成本下延迟支付期限的收益分享契约

针对由单一制造商和单一零售商组成的供应链系统,建立了随机需求下考虑有资金成本延迟支付期限的收益分享契约模型,研究两种决策(分散化和集中化)下,延迟支付期限是如何影响资金约束零售商的最优订货数量以及供应链系统的利润.分析表明,不管是分散化还是集中化决策,考虑有资金成本延迟支付期限的收益分享契约使供应链系统的最优订货量和利润都增大.最后,运用数值分析验证了结论.     

碳限额与碳交易约束下制造商生产-库存控制策略

针对制造商订货、储存、生产过程中的碳排放问题,探讨了碳限额与碳交易约束下制造商生产-库存控制策略,在对碳限额与碳交易进行数学度量的基础上构建了碳限额与碳交易约束下制造商生产-库存成本模型,并通过模型分析得出有碳约束且成本最优生产量及原材料最大订货倍数以及碳限额与碳交易约束下制造商最优生产-库存策略。计算实验与算例分析表明:相比于无碳约束情形,碳限额与碳交易约束下制造商订货数量更高,而订货频率及生产批量更低,并得出三种交易价格之下,决策变量的变化趋势。     

退货成本不同承担方式下供应链最优服务水平的确定

讨论了销售剩余成本分担情况下,供应链最优周期服务水平和订货策略的优化问题;对多周期补货策略提出了"变周期向前改进"的动态优化法.分析表明:销售剩余的处理方式和剩余成本的分配因子,对于最优服务水平有重要的影响;基于成本分担的多周期补货策略在销售季节的大部分时期维持了较高而稳定的服务水平和订货量.     

基于三方回购契约的供应链库存调度协调研究

针对由单一供应商、单一制造商和单一零售商构成的三级供应链,研究了如何协调非集成化模式下的供应链库存调度问题.在回购运输成本由相应下游企业承担的假定下,分别探讨了四种供应链运输模式回购契约协调,在此基础上提出了供应链三方回购契约,其参数为:运输选择因子,最优订货量因子,利润分享因子.最后对供应链三方回购契约进行了相关的数值分析,并得到了一些管理上的启示,对降低三级供应链的库存与运输成本提供了参考.     

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 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.     

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].