设Hm是维数为m的复希尔伯特空间,S(Hm?Hn)是作用在复双体希尔伯特空间Hm?Hn上的所有量子态的全体,Ssep(Hm?Hn)是所有可分量子态做成的S(Hm?Hn)的凸子集,φ:S(Hm?Hn)→S(Hm?Hn)是量子信道且φ(Ssep(Hm?Hn))=Ssep(Hm?Hn),那么φ保持von Neumann熵S(tρ+(1-t)σ)=S(tφ(ρ)+(1-t)φ(σ)),?t∈[0,1],?ρ,σ∈Ssep(Hm?Hn)当且仅当在Hm,Hn上分别存在酉算子或共轭酉算子(U-m),(V-n),使得φ(ρ)=((U-m?V-n))ρ((U-m?V-n))*,?ρ∈Ssep(Hm?Hn).

随着物流业的迅猛发展,物流供应链企业间更加注重信息沟通交流,这直接关系到交易成本减少与客户价值提升,但交易成本减少极易增加物流企业在沟通方面的成本,是物流供应链管理方面不可忽视的关键点.经济批量模型优势较多,可将其应用到物流供应链管理各环节,促使物流供应链中上下游企业有效沟通,在动态控制物流成本的基础上,提升客户价值以及运营效益.因此,从不同角度入手,客观分析物流供应链管理中经济批量模型的应用.

本文基于金融供应链的经济订购问题,探讨建立零售商的订货和融资联合决策模型,以允许缺货的情况为例对构建模型进行了具体探讨.基于允许缺货的情况下,由于暂时缺货不会给顾客造成损失,或者损失很小,企业没有损失或者只需要支付少量的缺货费用,那么这种情况下发生缺货在总体上是对企业有利的,不仅可以减少总的订货次数,从而减少订货的固定费用,而且还少支付一些存贮费用.根据具体情况建立联合决策模型,对解决具体实践中的实际问题具有一定的参考价值.

现有研究使用定性的方法,分析了优化铁路物流配送服务的影响因素及相关的解决措施,但是很少运用定量的分析方法进行量化说明其在优化铁路物流配送服务中的重要性.本文将运用AHP模型对优化铁路物流配送服务的措施进行定量分析,并通过MATLAB求出各措施对目标层的影响值,从而将定性分析与定量分析相结合,深入验证各措施的重要性,同时根据各措施权重值的大小排序,为管理者加快优化铁路货运配送服务提供科学决策依据.

A multi-item inventory problem under the two-level credit trade condition is studied by assuming that the retailer's credit payment period is positively related to the order quantity,and a multi-items inventory model is established.The optimal ordering strategy of the retailer is given through the analysis of the model.Finally,the validity of the model is verified by numerical examples.

This paper empirically explores relationships of the government subsidy, R&D investment and innovation performance in new energy vehicle industries. Surrounding a series of problems took place at present, such as cheating of subsidy, and influence of subsidy between R&D and innovation performance. This paper takes the listed companies of new energy automobile stocks as the research object, and analyzes the impact of government subsidies and R&D investment on enterprise innovation performance. The results show that the phenomenon of cheating is obvious in private enterprises, the impact of government subsidy on innovation performance is inverted "U", and different subsidies have different impacts on innovation performance.

建立了一类预订销售和信用支付策略相结合的变质物品的库存模型,其中,产品需求与价格相关,变质率和取消预订率都为常数.证明了最优订购策略的存在性和唯一性,并给出了数值算例和参数的灵敏度分析.

The EPQ model based on two levels of trade credit policy,the vast majority of the model is considered the single item.Because of the diversity of demand,the inventory model for multi-item is being more and more inventory management attention.We assume that the retailer is only provided to the customer part of his/her payment deferred payment under the condition of two levels of trade credit.An EPQ model for multi-item under retailer partial deferred payment is established.It proves that the model has a unique optimal solution.Finally,numerical examples are given to illustrate the validity of this model.

In this paper, on the assumption that the demand rate was an exponential increasing function of time, we built the deteriorating article inventory model whose two-echelon credit payment was dependent on the ordering volume, then analyzed the existence and uniqueness of the optimal solution of the model, and at the end, gave a numerical example to test the validity of the model.

In this paper, an EPQ model for muti-items is developed under two levels trade credit policy and limited storage capacity, which assumed that the retailer provides a trade credit of partial payment for purchase to its customers. The objective is to find the optimal replenishment cycle and the optimal ordering quantity by minimizing the retailer's annual total relevant cost per unit time. The condition for the unique optimal solution and algorithm to determine the optimal replenishment decisions for the retailer are presented. Finally, numerical examples are given to demonstrate the validity of the model proposed.

An inventory model with advanced booking discount and two stage ordering is established under conditions of the finite planning period and single ramp-type demand function. The existence and uniqueness of the model's optimal solution is discussed. The algorithm of the solution and numerical experiments for the model are given. With the practical problems in different parameters, the optimal solution is obtained in comparison to must be through the optimal solutions of these two models from the result of the numerical example.

针对新升本科院校数学本科专业学生学习实变函数课程存在困难的现状,从教学方法与教学内容上提出了一些探索性的改革。

An EPQ model is developed to minimize relevant cost of retailer for multi-item under the condition of two levels credit trade.The existence and uniqueness of the optimal solution to the present model are discussed,and numerical examples are given to illustrate the developed model.

Based on the updated formula with two paramerters,a new class of conjugate gradient methods which possess the sufficient descent property were proposed in this paper.The authors prove that the algorithm with nonmonotone line search and weak Wolfe line search for nonconvex function possess global convergence property.Preliminary numerical results show that those methods are effective.

Few papers about inventory control consider allowable shortage and permissible delay in payment together. This paper discusses an inventory control problem for deteriorating items with partial backlogging under deferrable delivery conditions. Existence and uniqueness of optimal ordering policy for the inventory system is showed and numerical examples are given to illustrate the theorem.

顾客忠诚对企业经营绩效的巨大贡献使越来越多人倡导企业要实施基于顾客忠诚的管理.在阐述顾客忠诚内涵和经济意义的基础上,对影响运动品牌企业顾客忠诚度的主要因素进行了深入探析,并有针对性地提出如何提高国内运动品牌企业顾客忠诚度的对策.

Based on the structure of the memoryless BFGS quasi-Newton method,a new three-term LS-type conjugate gradient method is presented,which possesses the sufficient descent property without any line search.Under the Armijo-type line search,the method possess global convergence for nonconvex function,and linear convergence rate for the function with twice continuously differentiable and uniformly convex.Preliminary numerical result shows that the method is efficient.

在延期支付条件下,建立了缺货量部分拖后的变质物品库存模型,证明了最优解的存在性与唯一性,并给出确定最优订购策略的算法步骤,最后用数值例子验证了模型与算法的有效性.

An EOQ model for deteriorating items to determine the retailer's optimal ordering policy under two level-trade credits is developed in the article. The demand is dependent on the current stock. The purpose of the paper is to minimize the average total cost. An algorithm is provided to determine the optimal replenishment cycle and order quantity. Then, numerical examples are given to illustrate the presented model.

one of the point of the inventory problem based on time-varying demand has been focused by inventory managers.Constant demand rate is considered in most of inventory model under two levels of trade credit policy.The paper develops an inventory model under two levels of trade credit policy,in which suppose demand rate is exponential function of time.The article proves existence and unique of optimal solution for the inventory model and presents the algorithm of determining optimal replenishment policy.Finally the sensitivity analyses of the main parameters are presented by numerical examples.