An effective Markov based approach for calculating the Limit Matrix in the analytic network process

Analytic network process is a multiple criteria decision analysis (MCDA) method that aids decision makers to choose among a number of possible alternatives or prioritize the criteria for making a decision in terms of importance. It handles both qualitative and quantitative criteria, that are compared in pairs, in order to forge a best compromise answer according to the different criteria and influences involved. The method has been widely applied and the literature review reveals a rising trend of ANP-related articles. The ‘power’ matrix method, a procedure necessary for the stability of the decision system, is one of the critical calculations in the mathematical part of the method. The present study proposes an alternative mathematical approach that is based on Markov chain processes and the well-known Gauss-Jordan elimination. The new approach obtains practically the same results as the power matrix method, requires slightly less time and number of calculations and handles effectively cyclic supermatrices, optimizing thus the whole procedure.     

一类非平稳高斯序列超过数点过程与和的渐近性

设{X_i}_(i=1)~∞是标准化非平稳高斯序列,N_n为X_1,X_2,…,X_n依次对水平μ_(n1),μ_(n2),…,μ_(nn)的超过数形成的点过程.记Υ_(ij)=X_iX_j,S_n=■X_i.当Υ_(ij)满足一定条件时,证明了N_n依分布收敛到Poisson过程,且N_n与S_n渐近独立.     

层次分析法在步枪作战效能评估中的应用

应用层次分析法对两代(共10种)突击步枪和自动步枪作战效能的评估和排序进行了讨论,并对其作战效能和技术水平进行了判断.所得结论对了解我军装备的先进程度,适应新时期军事科学和战备具有特别重要的意义.     

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与经典Cramer-Lundberg风险模型中保费收取过程 是时间的线性函数不同, 我们考虑聚合的保费收取过程是复合Poisson过程, 研究了在此模型下的常数分红策略问题. Dickson和Waters,(2004)指出在破产发生时, 股东还应有责任偿付破产时的赤字. 因此, 在本文中考虑的最优准则是最大化破产发生前的分红折现值与破产发生时赤字的差的期望. 做为例子, 当个体保费收取额和索赔额均为指数分布时, 给出了计算分红障碍的条件     

独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为

本文研究了独立同分布随机环境中的两性Galton-Watson分支过程,在上临界情形下,当k充分大时,qk≤ck<'-α>.     

Fischer–Tropsch Chemistry at Room Temperature?

The unique catalytic activity of vanadium nitrogenase suggests a new direction for the direct production of biofuels from CO with either synthetic catalysts or nitrogenase-containing bacteria. The reduction of CO by V?nitrogenase to light hydrocarbons shows striking similarities to the established Fischer-Tropsch process; however, the enzyme does not use H(2) directly for this reaction. ADP=adenosine diphosphate, ATP= adenosine triphosphate.     

Modeling the Dynamics of the Xylene Soluble Fraction (XS) in a Bulk Propylene Polymerization Process

A model is built to describe the dynamic trajectories of the xylene soluble fraction (XS) in an industrial bulk propylene polymerization process. Emphasis is given to the coupling between the XS dynamics and the reactor liquid bleed policy. It is shown that cocatalyst recirculation can affect the dynamics of the cocatalyst/donor ratio and consequently the dynamics of XS during polymerization. Simulation results indicate that the effect of the reactor liquid bleed operation and of the cocatalyst/donor ratio upon the XS trajectories can be minimized if PI controllers are designed to control the propane concentration and to increase the speed of the cocatalyst/donor transitions. Finally, it is shown that the model is able to reproduce the dynamic XS profile obtained during a large XS transition at plant site.

     

基于层次分析法的隧道综合地质预报优化

隧道综合地质预报是解决隧道施工期地质问题、降低施工风险的一项重要技术手段。鉴于目前综合预报多为简单的数量上的综合,为更加有效地利用综合预报技术,首先归纳地质分析辨识常见不良地质体的方法,通过地质分析法初步判定隧道掌子面前方可能存在的地质异常,并结合层次分析法的基本思路,将影响预报手段的指标量化,即赋予预报方法权重,建立二级综合评价指标体系,研究不同预报方法对特定工程地质条件的适用性,以选择几种最优预报方法。主要研究结论如下:利用地质分析法定性、层次分析法定量的方法优选预报手段,减少了综合超前地质预报中物探手段选择的随意性,并据此建立综合预报体系。最后将该体系应用于紫荆山隧道F2断层的预报中,成功预报了ZK221+960处地下暗河,避免了施工事故的发生,取得了一定的经济效益,证明了通过层次分析法来优化综合预报方法的可行性。     

Analysis of energy consumption in microwave and convective drying process of multi-layered porous material inside a rectangular wave guide

This work applies the first law of thermodynamics to estimate the ratio of energy utilization in microwave drying process using a rectangular waveguide. Two porous packed bed systems are considered such as attaching fine bed on coarse bed (F-C) and attaching coarse bed on fine bed (C-F). The effects of layered configuration and layered thickness on drying rate, power absorbed efficiency, specific energy consumption (SEC), and energy efficiency are studied in detail. The results show that the variations of all parameters have strongly affected on microwave penetration depth and power absorbed within the packed bed. Furthermore, F-C bed with equal layer thickness corresponds to great energy efficiency.