基于军事价值的武器装备体系结构优化模型

首先研究了武器装备评价指标体系的层次结构,在每个评价指标下,给出了标准指标值的计算模型和指标效用值的计算模型,在此基础上构建了武器装备体系的结构价值模型,利用该模型计算武器装备体系的结构价值,依据此价值对武器装备体系结构方案进行排序.     

基于熵权的混凝土大坝浇筑方案多目标决策研究

系统分析大坝施工的机械配置、混凝土坝面分仓等控制性因素,通过计算机施工仿真,分析施工方案的施工强度、工期等决策因素,结合机械设备投资费用,运用基于熵权的多目标决策理论,得到决策熵权,结合决策者的主观权重,建立浇筑施工方案多目标决策模型.工程应用说明,应用熵权进行多目标决策,能够较好地反映各决策指标的差异程度,具有概念清晰、实用的特点.     

水资源配置方案综合评价中的信息损失测度研究

水资源配置的多属性特征使得在方案综合评价中依据不同的聚合方法,能够获得不完全一致的方案排序结果。本文从水资源配置方案评价的决策矩阵及方案排序结果中的信息量大小入手,利用信息熵理论和斯皮尔曼等级相关系数提出衡量水资源配置方案综合评价中信息损失的香农斯皮尔曼测度。并构造由2种权重(熵权法权重、证据理论权重)与3种评价模型(简单加权法、模糊优选法、TOPSIS)组合而成的6种综合评价模型。最后,将香农斯皮尔曼测度运用到天津市水资源配置方案综合评价过程中的信息损失的衡量,并与文献中的综合评价模型所得结果进行比较。结果表明,采用证据理论权重-模糊优选评价模型所得评价结果的绝对信息损失和相对信息损失最小。通过水资源配置方案综合评价中的信息损失测度研究,能够使得水资源配置方案综合评价过程更加透明,并为决策部门选取理想的水资源配置方案综合评价方法提供决策支持。     

基于偏好关系的制造工艺资源评价与选择的模糊决策方法

制造工艺资源的评价和选择是实现资源优化配置的关键技术.本文分析了协同工艺设计中制造工艺资源选择决策研究状况,应用模糊数和模糊决策理论,建立基于偏好关系的制造工艺资源模糊评价模型,研究一种基于偏好关系的隶属度函数求解算法和基于偏序关系的多方案制造工艺资源排序决策方法,最后给出一个算例验证本文提出的资源评价方法的合理性和有效性.     

另一种新的多指标综合评判方法

指出由决策方案在理想方案上的投影及其到理想方案的距离还不能完全确定决策方案的优劣,应该综合考虑决策方案与理想方案的相似系数及其到理想方案的距离.构造了一种基于相似系数和距离的贴近度,给出了一种新的多指标综合评价方法.方法的有效性和合理性通过实例得到了验证.     

多指标综合评价方法的改进

由决策方案在理想方案上的投影及其到理想方案的距离还不能完全确定决策方案的优劣,应该综合考虑决策方案与理想方案的相似系数及其到理想方案的距离.     

政策扶持对创业投资配置决策的影响

建立了创业投资者和创业投资家的配置决策模型,分析了政策扶持对创业投资者和创业投资家资产配置决策的影响.研究表明,政策扶持会导致创业投资家提高其努力程度,也会使创业投资家投资于创业投资项目的权重增加,从而有利于减轻投资阶段后移的问题.政策扶持对创业投资者配置决策的影响与两类投资项目的相关性有关.但不论相关性如何,投向创业...     

灰色系统理论在多目标施工方案决策中的应用研究

文章分析了影响建设项目施工方案的主要因素,通过对灰局势决策理论的研究建立了建设项目施工方案的决策模型.并进行了实证研究,提供了灰色理论在建设项目施工决策中的应用方法.     

基于灰色关联度下的报童问题

基于灰色系统的决策思想,提出了具有灰色特性的报童问题,即在传统报童问题的影响因素—成本价、零售量、零售价和处理价等因素中引入灰色信息.应用灰色决策方法,计算和比较理想方案和临界方案构成的综合关联度,综合关联度大者对应为优良方案.给出的算法使得决策更具有柔性,决策结果更贴近实际.     

基于云推理模型的武器装备研制风险评估研究

武器装备研制过程充满了不确定性和风险,因此对武器装备研制风险进行研究对于实现武器装备研制目标具有重要的意义.界定了武器装备研制风险相关概念,介绍了云推理理论,构建了武器装备研制风险的云推理评估模型,实现了定性变量与定量变量相互映射,最后,通过实例对模型进行了验证.     

眼科病床配置的优化模型及其计算机模拟

为了实现资源的高效利用,采用排队论思想,建立了眼科病床合理配置的优化模型,并用计算机模拟的方法对模型进行了检验,根据历史数据,求得五类病人被分配到的病床比例为19%、24%、21%、10%、26%,所得结果与实际吻合较好,优化模型对病床的合理配置具有一定的借鉴意义.     

评测试卷命题质量的数学模型

运用模糊数学和数理统计理论,以各级评测指标及主要观测点的观测值,是否偏离正常的取值区间为评判要点,着重考察试卷对正常区间的偏离程度,严格控制试卷的异常为重点.由此构建了评测试卷命题质量的科学而适用的数学模型.经过多次实践,该模型具有结构简洁、观测面宽、计算简捷、操作方便、结论可靠等特点,具有适用与推广价值.     

多因素指派模型全局优化问题研究

基于多因素资源优化分配问题的不确定性,建立基于区间数型下的不确定多因素指派模型,给出模型建立的理论依据与全局优化算法,拓展区间数型多因素指派模型,解决了不确定条件下多因素资源优化分配问题.考虑多因素影响,基于任务完成效率,以5类任务多因素分配问题为例,获得了指派模型全局优化的解.为不确定条件下资源优化分配问题的研究拓宽了决策途径.     

公务员招聘的优化模型

对“公务员招聘”问题进行了深入探讨,运用模糊数学和运筹学理论,先建立了招聘人员的模糊多属性综合评价模型,解决了用人单位择优录取公务员的问题;然后建立了0-1整数规划模型解决了人力资源的优化配置问题,从而给出了一种科学有效的公务员招聘的方法.     

The homotopy theory of bialgebras over pairs of operads

We endow the category of bialgebras over a pair of operads in distribution with a cofibrantly generated model category structure. We work in the category of chain complexes over a field of characteristic zero. We split our construction in two steps. In the first step, we equip coalgebras over an operad with a cofibrantly generated model category structure. In the second step we use the adjunction between bialgebras and coalgebras via the free algebra functor. This result allows us to do classical homotopical algebra in various categories such as associative bialgebras, Lie bialgebras or Poisson bialgebras in chain complexes.     

Tree-valued resampling dynamics Martingale problems and applications

The measure-valued Fleming–Viot process is a diffusion which models the evolution of allele frequencies in a multi-type population. In the neutral setting the Kingman coalescent is known to generate the genealogies of the “individuals” in the population at a fixed time. The goal of the present paper is to replace this static point of view on the genealogies by an analysis of the evolution of genealogies. We encode the genealogy of the population as an (isometry class of an) ultra-metric space which is equipped with a probability measure. The space of ultra-metric measure spaces together with the Gromov-weak topology serves as state space for tree-valued processes. We use well-posed martingale problems to construct the tree-valued resampling dynamics of the evolving genealogies for both the finite population Moran model and the infinite population Fleming–Viot diffusion. We show that sufficient information about any ultra-metric measure space is contained in the distribution of the vector of subtree lengths obtained by sequentially sampled “individuals”. We give explicit formulas for the evolution of the Laplace transform of the distribution of finite subtrees under the tree-valued Fleming–Viot dynamics.     

Enhancing student engagement to positively impact mathematics anxiety,confidence and achievement for interdisciplinary science subjects

Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.     

A model for the value of a business, some optimization problems in its operating procedures and the valuation of its debt

Corresponding author, email pw{at}oxfordfinancial.co.uk; also at: Imperial College, London In this paper we present a model for the value of a firm basedon observable variables and parameters: the annual turnover,the expenses, interest rates. This value is the solution ofa parabolic partial differential equation. We show how the valueof the company depends on its legal status such as its liability(that is, whether it is a Limited Company or a sole trader/partnership).We give examples of how the operating procedures can be optimized(for example, whether the firm should close down, relocate etc.).Finally, we show how the model can be used to value the debtissued by the firm.     

Olga Taussky,a torchbearer for mathematics and teacher of mathematicians

Olga Taussky-Todd's mathematical and personal life (1906-1995), her achievements and obstacles, her scientific reasoning and teaching all have served as inspiration to many mathematicians. We describe her role in the mathematics world of the previous century as a torchbearer for mathematics and mathematicians, bearing the “torch of scientific truth” that burns inside of mathematics and its applications. Besides her many deep math contributions – too many to elaborate – she excelled at distilling and presenting mathematical concepts and ideas in her work and gave us many visionary papers and math talks. By sharing her mathematical vision freely she has inspired many of us. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

On convergence rates in approximation theory for operator semigroups

We create a new, functional calculus, approach to approximation formulas for _C0$C_0$-semigroups on Banach spaces restricted to the domains of fractional powers of their generators. This approach allows us to equip the approximation formulas with rates which appear to be optimal in a natural sense. In the case of analytic semigroups, we improve our general results obtaining better convergence rates which are optimal in that case too. The setting of analytic semigroups includes also the case of convergence on the whole space. As an illustration of our approach, we deduce optimal convergence rates in classical approximation formulas for _C0$C_0$-semigroups restricted to the domains of fractional powers of their generators.