直觉模糊有限自动机的乘积

给出了直觉模糊有限自动机的广义直积、级联积和圈积及覆盖的定义,讨论了直觉模糊有限自动机在同构意义下级联积和圈积满足结合性以及各种乘积之间的覆盖关系。     

乘子Hopf代数的广义交叉积与L-R smash积(英文)

In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.     

竞争市场下考虑再制造产品售后服务的供应链运营策略

在同时生产新产品和再制造产品的原始制造企业(企业1)与生产具有替代性产品的企业(企业2)构成竞争关系下的供应链系统中,探讨供应链在不同售后服务策略下供应链的运营策略,分析在竞争市场下供应链定价策略和再制造产品的售后服务对定价策略及供应链中各企业利润的影响。揭示再制造产品售后服务对定价策略和供应链各企业最优利润的影响。得到如下主要研究结论:(1)当制造企业为再制造产品提供售后服务时,再制造产品销售量增加,新产品和竞争替代产品销售量降低;有趣的是新产品和再制造产品的市场零售价格同时增加,竞争替代产品的市场零售价格降低。(2)制造企业为再制造产品提供售后服务时的利润总是大于没有售后服务时的利润,且不受单位产品生产成本影响。同时当单位产品生产成本较高时,制造企业为再制造产品提供售后服务策略会带来竞争对手企业利润增加。这些结论对具有再制造产品供应链如何提供再制造产品售后服务具有一定指导作用和管理启示。     

模糊有限自动机的乘积覆盖性

推广模糊有限自动机的有限积,包括direct infinite乘积、cascade infinite乘积和wreath infinite 来积.进而讨论它们之间的关系,得到乘积覆盖性等代数性质.     

面对多个企业竞争情形下的低碳产品选择策略

在考虑消费者低碳偏好的情形下,建立了一个大企业作为领导者与多个小企业之间的博弈模型。在小企业生产普通产品情形下,研究了大企业低碳产品选择策略。研究发现:当小企业对称时,较大的碳减排量会促使大企业生产低碳产品以获得较高的零售价格,且小企业在大企业选择普通产品时有较高的销量;大企业制造商是否生产低碳产品取决于小企业的个数、消费者对小企业产品的认可度以及低碳产品低碳减排量的综合影响。当小企业不对称时,较少的小企业数量会促使大企业选择生产普通产品,而小企业数量较多时,大企业会生产低碳产品。     

Agent based e-commerce systems that react to buyers’ feedbacks - A fuzzy approach

In this paper, we have introduced an agent based e-commerce system which recommends products to buyers as per their preferences. Initially, the agent collects the buyers’ preferences in fuzzy or linguistically defined terms and based on this, presents them an ordered set of products. After obtaining the buyers’ feedbacks when they actually come across the products, the seller’s agent interacts with the buyer (buyer’s agent), revises the products preferential order and recommends either the same set of products or a new set of similar products with the revised preferential order. The buyer’s revised preferences are taken here as his/her feedback after he/she comes across with the actual products (presented products). Concepts of fuzzy logic and Fuzzy Linear Programming are used here to identify the buyer’s feedbacks on the initial presentation of the products. Our methodology also measures the degree of customers’ focus on the products which are finally recommended by the e-commerce agent. The product ranking obtained through buyers’ initial preferences is considered here as his/her subjective information and the available information from the agents’ presented products are taken as the objective information.     

基于不同政府补贴方式的绿色产品闭环供应链决策研究

以制造商和零售商组成的绿色产品闭环供应链构建了政府对绿色产品仅生产补贴、仅回收补贴以及生产和回收同时补贴的3类绿色供应链模型.运用博弈论方法进行求解,研究发现：3类绿色供应链模型中的产品绿色度、市场需求量、制造商利润、零售商利润均与绿色度敏感系数成正相关关系.仅生产补贴和仅回收补贴两类绿色供应链模型中绿色度敏感系数满足一定条件时产品零售价与之成负相关关系.政府对绿色产品仅生产补贴时的市场需求量、绿色度、制造商利润、零售商利润均优于仅回收补贴和生产和回收同时补贴情形.政府对绿色产品生产和回收同时补贴时企业利润反而并不是最大的.因此,政府应加大对绿色产品的生产补贴力度,获得补贴的制造商应加大绿色产品研发力度.这样产品的绿色度得以进一步提升,环境得以进一步改善.     

New graph products of specified domains for configuration processing

In this paper new graph products are defined with specified domains. In these products the logical operations of the graph products are only applicable in specified domains, and therefore these products can produce configurations which do not need to be regular. Compound models can be generated and cut-outs and other irregularities can be incorporated using these products. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

The Ontology of Products

We speak of products in two senses: in one, we speak of types of products, in the other we speak of the particular objects that are instances of those types. I argue that types of products have the same ontological status as that of material stuffs, like water and gold, which have a non-particular level of existence. I also argue that the relationship between types of products and their instances is logically similar to the relation of constitution, which holds between, say, gold and a ring made of gold. In my approach, types of products are concrete entities, having spatiotemporal properties. This picture fits our commonplace conception of types of products better than alternative approaches according to which types of products are universal, abstract, or mereological entities.     

Optimization of sample size and order size in an inventory model with quality inspection and return of defective items

To ensure all products as perfect, inspection is essential, even though it is not possible to inspect all products after producing them like some special type products as plastic joint for the water pipe. In this direction, this paper develops an inventory model with lot inspection policy. With the help of lot inspection, all products need not to be verified still the retailer can decide the quality of products during inspection. If retailer founds products as imperfect quality, the products are sent back to supplier. As it is lot inspection, mis-clarification errors (Type-I error and Type-II error) are introduced to model the problem. Two possible cases are discussed for sending back products as defective lots are immediately withdrawn from the system and send back to supplier with retailer’s payment and for second case, retailer sends defective products during receiving next lot from supplier with supplier’s investment, like in food industry or in hygiene product industry. The model is solved analytically and results indicate that optimal order size and sample size are intrinsically linked and maximize the total profit. Numerical examples, graphical representations, and sensitivity analysis are given to illustrate the model. The results suggest that sending defective products maintaining the first case is the more profitable than the second case.     

Single firm product diffusion model for single-function and fusion products

The prosperity of multifunction products (also referred to as fusion products) has changed the landscape of the marketplace for several electronics products. To illustrate, as fusion products gain popularity in cellular phones and office machines, we observe that single-function products (e.g., stand-alone PDAs and stand-alone scanners) gradually disappear from the market as they are supplanted by fusion products. This paper presents a product diffusion model that captures the diffusion transition from two distinct single-function products into one fusion product. We investigate the optimal launch time of the fusion product under various conditions and conduct a numerical analysis to demonstrate the dynamics among the three products. Similar to previous multi-generation single product diffusion models, we find that the planning horizon, the products’ relative profit margin, and substitution effects are important to the launch time decision. However, there are several unique factors that warrant special consideration when a firm introduces a fusion product to the market: the firm’s competitive role, buyer consolidation of purchases to a multi-function product, the fusion technology and the age of current single-function products.     

Maximal Blaschke products

We consider the classical problem of maximizing the derivative at a fixed point over the set of all bounded analytic functions in the unit disk with prescribed critical points. We show that the extremal function is essentially unique and always an indestructible Blaschke product. This result extends the Nehari–Schwarz Lemma and leads to a new class of Blaschke products called maximal Blaschke products. We establish a number of properties of maximal Blaschke products, which indicate that maximal Blaschke products constitute an appropriate infinite generalization of the class of finite Blaschke products.     

基于经销商再制造的闭环供应链政府补贴策略及效果分析

针对制造商负责再制造设计,经销商负责再制造的闭环供应链系统,建立政府无补贴、补贴经销商再制造和补贴制造商再制造设计3种策略下的Stackelberg博弈模型,分析不同补贴策略对供应链成员企业决策的影响。同时,应用数值仿真方法研究相同补贴支出下两种补贴策略的优劣。结果表明:相对于无补贴策略,两种补贴策略均会降低再制品和新产品的销售价格,提高再制品销售量,提升再制造设计水平,并且在再制品需求量小于新产品需求量时均会降低新产品销售量,在再制品和新产品的需求量相等时均会提高新产品销售量;另外,在相同的补贴支出下,当新产品需求量大于再制品需求量时,补贴经销商更能降低两种产品的销售价格和新产品的销售量,提高再制品销售量和制造商与经销商的利润,补贴制造商则更能提升再制造设计水平。     

On Multiplicity-Free Products of Schur P-Functions

Recently Stembridge obtained the classification of multiplicity-free products of Schur functions, and thus of multiplicity-free outer products of irreducible characters of the symmetric groups. In this paper, the multiplicity-free products of Schur P-functions are classified, and then this is applied to the case of projective outer products of spin characters of the double covers of the symmetric groups.     

A Survey on Hypergraph Products

A surprising diversity of different products of hypergraphs have been discussed in the literature. Most of the hypergraph products can be viewed as generalizations of one of the four standard graph products. The most widely studied variant, the so-called square product, does not have this property, however. Here we survey the literature on hypergraph products with an emphasis on comparing the alternative generalizations of graph products and the relationships among them. In this context the so-called 2-sections and L2-sections are considered. These constructions are closely linked to related colored graph structures that seem to be a useful tool for the prime factor decompositions w.r.t. specific hypergraph products. We summarize the current knowledge on the propagation of hypergraph invariants under the different hypergraph multiplications. While the overwhelming majority of the material concerns finite (undirected) hypergraphs, the survey also covers a summary of the few results on products of infinite and directed hypergraphs.     

Homology of products and joins of reflexive relations

The homology of products and joins of reflexive relations is computed. Rota's homology of the products of two lattices is computed. The homology of finite polyspherical posets is determined by Euler characteristic and length. The category of polyspherical posets is closed under joins and special products but not products. A special product of nonvoid reflexive relations is simply connected.     

基于回收风险的闭环供应链差异定价决策研究

随着资源的匮乏和环境污染的加剧,越来越多的企业和消费者开始关注废旧产品的回收再制造。针对制造商唯一寡头垄断市场竞争结构,引入回收风险,分别对制造商(OEM)自行回收废旧产品的闭环供应链、第三方回收商回收废旧产品的闭环供应链建立数学模型,分析给出各企业的最优差异定价规则,并从经济学意义上得到相关管理启示;数值实验的结果则进一步验证回购价格、回收风险、价格竞争强度对最优解的影响。研究结果表明:(1)闭环供应链结构会影响再制品价格及废旧产品的回收价格,但对OEM新品定价无影响。(2)回收风险的变化对价格决策的影响取决于闭环供应链的结构特征。当回收风险较低时,在激发消费者对再制品需求、促使消费者返回废旧产品、提升闭环供应链整体效率等方面,OEM自行回收模式优于第三方回收商回收模式;而当回收风险较高时,则第三方回收商回收模式优于OEM自行回收模式。(3)回收风险的降低使得闭环供应链总利润呈现出增长的趋势,进而进一步体现到再制造的经济价值。(4)OEM自行回收废旧产品需考虑到新品与再制品间的价格竞争强度,当价格竞争强度较弱时,OEM自行回收废旧产品可为OEM带来更多的利润;新品与再制品间的价格竞争也有利于再制品需求的提升。     

原材料经济订购及产品定价策略

生产企业产品的需求量受销售价格的影响 ,而产品需求量的大小必将影响原材料的经济批量 .本文研究生产企业为获取最大利润如何确定原材料的经济批量及产品销售价格 .文中主要就单产品生产问题进行讨论 ,并指出多产品生产时可分解为多个单产品生产问题 .作为一个特例 ,本文结论也适用于商业企业     

知识产权产品与经济发展水平关系研究——基于突变级数法和ARDL模型

知识产权产品是一个全新的概念,SNA2008将用于国民经济核算的"无形固定资产"重新定义为"知识产权产品",这种修改凸显了知识产权产品在评价国民经济发展中的重要作用。本文收集了1995-2013年多个与我国知识产权产品与经济发展水平相关的数据,使用突变级数法建立知识产权产品和经济发展水平两个指标体系,以此计算两者的综合评价得分,然后运用ARDL模型对两者进行协整检验。检验结果表明,知识产权产品和经济发展水平之间在长期内存在显著的相互影响。     

Locally elusive classical groups

We apply a new notion of angle between projections to deduce criteria for uniform convergence results of the alternating projections method under several different settings: averaged projections, cyclic products, quasiperiodic products and random products.