基于模糊层次分析的虚拟企业风险评价

在分析虚拟企业风险评价应该考虑的主要因素的基础上,建立了一套适用于虚拟企业风险评价的指标体系,提出了一种基于模糊集合理论与层次分析法相结合的虚拟企业风险评价方法。在多专家指标权重评价的基础上,运用模糊D elph i法对上层准则形成一系列的权重集合,得到三角模糊数表示的准则“重要性”评价。结合以模糊语言变量表示的备选方案偏好等级的“满意度”和下层指标的模糊权重,通过分层结合,得到虚拟企业风险的模糊评分,最后采用重心法和Chang Jing-rong的双系数法对所有方案的三角模糊数进行排序,得到虚拟企业方案综合选择的优先顺序。实例说明了虚拟企业风险评价的具体过程。     

新产品市场风险评价的原理与方法研究

本文不仅给出了新产品市场风险的因素和指标体系，而且提出了用模糊数学与ＡＨＰ相结合来进行新产品市场风险评价的原理和方法，同时，给出了一种新的群体ＡＨＰ赋权方法，使量化更具合理性     

旅游纪念品开发要素评价体系探讨

旅游纪念品开发过程中面临开发要素的取舍困境.通过对淘宝中的100件旅游纪念品进行抽象归纳,概括了15项旅游纪念品要素,通过6名同学的评分评价,筛选出6项核心要素,并根据属性划分为外观系统及功能系统2个系统,经过AHP分析法对评价体系指标进行权重赋予,以SD语义分析法制定参考评价标准,通过对蒙古包插线板旅游纪念品的评价,得出蒙古包插线板处于旅游纪念品开发要素综合评价Ⅱ级.经进一步计算,以方差分析法确定了评价体系中的6要素具有显著差异,以此证明在要素归纳过程中要素间的区分度具有明显差异,强化了评价体系的科学性.     

评价筛选模型组合与最佳教练评选

针对2014年国际数学建模竞赛B题关于最佳教练评选的问题,利用聚类分析进行初步筛选,并综合运用熵权法、灰色关联法来确定关联度,进而构建出一种组合评价筛选模型,完成对教练的进一步评价和筛选。通过逐步细化模型和评价指标,缩小教练筛选范围,最终完成最佳教练的确定。     

封堵物水中运动过程的数学模型研究

投放块石封堵物是溃口抢险的一项重要技术,研究的问题就是对封堵物水中运动过程进行运动系统辨识.利用牛顿运动定律和流体力学知识确定封堵物水中运动过程的模型结构,利用最小二乘原理进行模型参数估计,最终确定大实心方砖在水中的运动模型.通过MATLAB仿真求得不同试验条件下雷诺数与阻力系数间的关系,得到阻力系数试验曲线.最后,验证了所建模型和阻力系数试验曲线的合理性,并利用重力相似准则将所得结论应用于实际溃口封堵问题.     

基于前景理论的智能输电系统改进灰靶风险决策模型研究

针对我国特高压建设与大规模可再生能源的接入带给智能输电系统的风险,文章提出一种在市场环境下输电系统的风险型多准则决策新方法。该方法基于已构建的智能输电系统风险评价指标体系,考虑指标属性与权重信息的不确定、模糊性以及决策者所持风险态度,结合改进的区间灰数与前景理论,构建了基于前景理论的改进灰靶风险决策模型,最后运用到智能输电系统风险决策案例验证了该方法的合理性和有效性。     

纳税信誉等级评定模型

首先构建了用于评价分析的递阶层次系统 ,然后介绍模糊决策理论及灰色系统理论在数据处理方面的应用 ,最后用两种不同的方法对模拟数据进行了分析 ,得到了企业的综合评分 .     

多准则随机DEA模型及其在投资评价中的应用研究

通过对随机输入、产出指标的分析,在经典ＤＥＡ模型的基础上,增加了多个评价准则,从而提出了多准则随机ＤＥＡ评价模型,最后,通过在项目投资评价中的运用说明了该模型的实用性。     

新产品设计中筛选技术组合方案的方法

描述了新产品设计阶段中如何筛选满足技术兼容性的可行技术组合方案问题.通过分析新产品的部件及相应的备选技术方案之间的兼容关系,建立了一个备选技术方案兼容关系表,在此基础上采用BF算法进行计算,可筛选出可行的技术组合方案.实例分析表明,本文给出的方法具有可行性和实用性,对于进一步优选最终期望的新产品技术组合方案打下了坚实的基础.     

基于概率语言BWM与PROMETHEEII的多准则决策方法

提出了一种改进的偏好顺序结构评估法(Preference Ranking Organization Method For Enrichment Evaluations, PROMETHEE),即基于概率语言BWM与PROMETHEE II的多准则决策方法。针对多准则决策过程中,评价信息的模糊性和不确定性,采用概率语言(Probabilistic Linguistic Term Set, PLTS)处理评价信息,并纳入PROMETHEE II中对备选方案进行排序。针对传统的PROMETHEE II 中准则权重需要从外部获得的问题,采用最优最劣法(Best-worst Method, BWM)确定准则的权重。最后,以某企业无人机改造方案为例进行分析,验证所提方法的有效性和可行性。     

New models for the robust shortest path problem: complexity, resolution and generalization

In optimization, it is common to deal with uncertain and inaccurate factors which make it difficult to assign a single value to each parameter in the model. It may be more suitable to assign a set of values to each uncertain parameter. A scenario is defined as a realization of the uncertain parameters. In this context, a robust solution has to be as good as possible on a majority of scenarios and never be too bad. Such characterization admits numerous possible interpretations and therefore gives rise to various approaches of robustness. These approaches differ from each other depending on models used to represent uncertain factors, on methodology used to measure robustness, and finally on analysis and design of solution methods. In this paper, we focus on the application of a recent criterion for the shortest path problem with uncertain arc lengths. We first present two usual uncertainty models: the interval model and the discrete scenario set model. For each model, we then apply a criterion, called bw-robustness (originally proposed by B. Roy) which defines a new measure of robustness. According to each uncertainty model, we propose a formulation in terms of large scale integer linear program. Furthermore, we analyze the theoretical complexity of the resulting problems. Our computational experiments perform on a set of large scale graphs. By observing the results, we can conclude that the approved solvers, e.g. Cplex, are able to solve the mathematical models proposed which are promising for robustness analysis. In the end, we show that our formulations can be applied to the general linear program in which the objective function includes uncertain coefficients.     

基于Gini准则的客观组合评价方法研究——以高技术产业技术创新能力评价为例

为了解决多方法评价结论的非一致性问题,提出了一种基于Gini准则的客观组合评价方法。该方法按照每种评价方法的评价值所提供的信息纯度对每种评价方法赋予相应的权重,信息纯度越大,则相应地赋予越大的权重,然后按照赋予的权重进行客观组合评价。并以高技术产业技术创新能力评价为例,验证了Gini准则客观组合评价方法的可操作和相对有效性。基于Gini准则的客观组合评价方法为解决多方法评价结论的非一致性问题提供了新的思路,是组合评价方法研究的有益补充。     

数字环境下产品定价与一种产品差异化机制模型分析

本文首先分析了在新的市空下市场结构特征和厂商定价策略,以及价格机制的演变和不同市场环境下具体价格机制的使用;依据逆向选择原理,设计了一种有中间商参与的基于顾客需求和品牌偏好的产品差别定价机制模型,利用logit模型得到厂商利润方程;然后对模型性质以及厂商间产品价格、产品特性的影响进行了分析,得出厂商定价策略必存在Nash均衡,并对两种情形下如何求均衡解进行了说明;最后对参数估计进行了分析。     

CONSTRAINT-PRESERVING ENERGY-STABLE SCHEME FOR THE 2D SIMPLIFIED ERICKSEN-LESLIE SYSTEM

Here we consider the numerical approximations of the 2D simplified Ericksen-Leslie system.We first rewrite the system and get a new system.For the new system,we propose an easy-to-implement time discretization scheme which preserves the sphere constraint at each node,enjoys a discrete energy law,and leads to linear and decoupled elliptic equations to be solved at each time step.A discrete maximum principle of the schemc in the finite element form is also proved.Some numerical simulations are performed to validate the scheme and simulate the dynamic motion of liquid crystals.     

A multiresolution analysis for tensor-product splines using weighted spline wavelets

We construct biorthogonal spline wavelets for periodic splines which extend the notion of “lazy” wavelets for linear functions (where the wavelets are simply a subset of the scaling functions) to splines of higher degree. We then use the lifting scheme in order to improve the approximation properties with respect to a norm induced by a weighted inner product with a piecewise constant weight function. Using the lifted wavelets we define a multiresolution analysis of tensor-product spline functions and apply it to image compression of black-and-white images. By performing-as a model problem-image compression with black-and-white images, we demonstrate that the use of a weight function allows to adapt the norm to the specific problem.     

A scheme of adaptive control

A new scheme of adaptive control is proposed. This scheme does not require a priori knowledge of the structure of the plant to be controlled. The principal part of the scheme is a procedure which decides the order of the model of the plant. A criterion for the order determination is developed. Using this criterion, we can decide whether to keep the current controller or to adopt a new controller based on the information gathered during the operation of the system. The effectiveness of the scheme is illustrated by a numerical example. The Institute of Statistical Mathematics     

A staggered approach to structural shape and topology optimization

This contribution is concerned with the design and evaluation of a staggered approach to computational shape and topology optimization. The main idea is to interrelate a classical boundary variation scheme based on the results from shape sensitivity analysis and an evolutionary-type element removal procedure that relies on the topological sensitivity as a rejection criterion. The key ingredient in this perspective is to consider an advancing front algorithm that is gradually removing, from the evolving boundary of the domain, a number of finite elements based on the evaluation of the topological sensitivity. This process is repeated until the minimum topological sensitivity is no longer encountered at the boundary but in the interior of the domain, such that a topological change is to be considered for the current design layout. However, we first aim to establish a more accurate approximation of the true optimal shape of the newly established (zig-zag representation) of the design boundary. This is achieved by the evaluation of the shape sensitivity and the accompanying boundary variations obtained by a basic descent algorithm. Only then, we create a hole in the interior of the domain by removing all cells that are adjacent to the nodal point that exhibits the minimum topological sensitivity and resume the advancing front algorithm to alter the newly established design boundary. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Optimal testing strategies in overlapped design process

Testing is an important activity in product development. Past studies, which are developed to determine the optimal scheduling of tests, often focused on single-stage testing of sequential design process. This paper presents an analytical model for the scheduling of tests in overlapped design process, where a downstream stage starts before the completion of upstream testing. We derive optimal stopping rules for upstream and downstream stages’ testing, together with the optimal time elapsed between beginning the upstream tests and beginning the downstream development. We find that the cost function is first convex then concave increasing with respect to upstream testing duration. A one-dimensional search algorithm is then proposed for finding the unique optimum that minimizes the overall cost. Moreover, the impact of different model parameters, such as the problem-solving capacity and opportunity cost, on the optimal solution is discussed. Finally, we compare the testing strategies in overlapped process with those in sequential process, and get some additional results. The methodology is illustrated with a case study at a handset design company.     

基于人工神经网络的客户价值评价体系

企业对客户价值的评价是进行客户分类及实施客户策略的依据,也是实现客户关系管理的核心所在.客户为企业带来的价值本身是具有层次性和动态性,然基于客户全生命周期的客户终生价值计算方法显然无法将其动态发展过程准确的考虑在内,也就无法规避其计算结果所带来的误差风险.因此,在现有客户价值评价理论的基础上,结合客户生命周期理论,以企业与客户的双赢为最终目标,提出分阶段细化的评价思想,构建完善的评价体系,并根据该指标体系的指标特性选择人工神经网络作为评价方法,给出模型求解,最后依据此评价结果对客户分类及营销策略进行相关的分析.     

A construction of non-isomorphic amorphous association schemes from pseudo-cyclic association schemes

As a continuation of my paper [T. Fujisaki, A construction of amorphous association scheme from a pseudo-cyclic association scheme, Discrete Math. 285(1–3) (2004) 307–311], we show a construction of amorphous association scheme which is a fusion scheme of a direct product of two pseudo-cyclic association schemes with same first eigenmatrix. By using this construction, we can get at most three amorphous association scheme. We prove that if two pseudo-cyclic association scheme are non-isomorphic, then these three amorphous association schemes are mutually non-isomorphic.