Improving the rate of convergence of interior point methods for linear programming

This paper proposes a procedure for improving the rate of convergence of interior point methods for linear programming. If (x ^k ) is the sequence generated by an interior point method, the procedure derives an auxiliary sequence ( ). Under the suitable assumptions it is shown that the sequence ( ) converges superlinearly faster to the solution than (x ^k ). Application of the procedure to the projective and afflne scaling algorithms is discussed and some computational illustration is provided.     

A review ofL=λW and extensions

A fundamental principle of queueing theory isL=W (Little's law), which states that the time-average or expected time-stationary number of customers in a system is equal to the product of the arrival rate and the customer-average or expected customer-stationary time each customer spends in the system. This principle is now well known and frequently applied. However, in recent years there have been extensions, such as H=G and the continuous, distributional, ordinal and central-limit-theorem versions, which show that theL=W relation, when viewed properly, has much more power than was previously realized. Moreover, connections have been established between H=G and other fundamental relations, such as the rate conservation law and PASTA (Poisson arrivals see time averages), which show that there is a much greater unity in the overall theory than was previously realized. This paper provides a review.This paper is dedicated to the memory of our colleague Professor Peter Franken (1937–1989), who contributed greatly to the subject of this paper and to queueing theory more generally.     

Comparison of particle size and flow rate optimization for chromatography using one-monomer molecularly imprinted polymers versus traditional non-covalent molecularly imprinted polymers

The dependence of enantio-selective chromatographic performance on particle size, as measured by separation factor, was investigated for one-monomer molecularly imprinted polymers (OMNiMIPs) compared to traditionally formed EGDMA/MAA molecularly imprinted polymers (MIPs). Five particle size ranges were compared (<20 μm, 20-25 μm, 25-38 μm, 38-45 μm, and 45-63 μm), revealing that the particle sizes above 25 μm provided the highest separation factor, and thus the best enantiomer separation, for both imprinted polymers. Other chromatographic parameters such as the number of theoretical plates and resolution exhibited only minor changes for the OMNiMIPs as the particle size changed, except for particles 20 μm and below. However, the number of theoretical plates and resolution for EGDMA/MAA are higher for particles in the 20-25 μm range. Thus, chromatographic factors for the EGDMA/MAA polymers are better in this range, despite better enantioselectivity for particle sizes above 25 μm. In contrast, OMNiMIPs generally show the most favorable performance for particle sizes in the 38-45 μm range. It was also found that decreasing flow rate resulted in improved enantioselectivity for both MIPs for all particle sizes.     

KINETICS OF SUSPENDED EMULSION POLYMERIZATION OF METHYL METHACRYLATE

The kinetics of suspended emulsion polymerization of methyl methacrylate (MMA), in which water acted as the dispersed phase and the mixture of MMA and cyclohexane as the continuous phase, was investigated. It showed that the initial polymerization rate (Rp0) and steady-state polymerization rate (Rp) were proportional to the mass ratio between water and oil phase, and increased as the polymerization temperature, the potassium persulphate concentration ([I]) and the Tween20 emulsifier concentration ([S]) increased. The relationships between the polymerization rate and [I] and [S] were obtained as follows: Rp0 ∝ [I]0.73[S]0.32 and Rp ∝ [I]0.71[S]0.23. The above exponents were close to those obtained from normal MMA emulsion polymerization. It also showed that the average molecular weight of the resulting poly(methyl methacrylate) decreased as the polymerization temperature, [I] and [S] increased. Thus, MMA suspended emulsion polymerization could be considered as a combination of many miniature emulsion polymerizations proceeding in water drops and obeyed the classical kinetics of MMA emulsion polymerization.     

过硫酸胺与N－［（3－二甲氨基）丙基］丙烯酰胺氧化还原引发体系的研究

过硫酸胺与Ｎ－［（３－二甲氨基）丙基］丙烯酰胺氧化还原引发体系的研究司堃，郭新秋，丘坤元（北京大学化学与分子工程学院北京１００８７１）关键词Ｎ－取代丙烯酰胺，氧化还原体系，反应动力学，端基分析，反应机理Ｎ－［（３一二甲氨基）两基］丙烯酸胺（ＤＭＡＰＡ...     

Rate Coefficient for Self-Association Reaction of CF2 Radicals Determined in the Afterglowof Low-Pressure C4F8 Plasmas

We have analyzed decay kinetics of CF₂ radicals in the afterglow of low-pressure, high-density C₄F₈ plasmas. The decay curve of CF₂ density has been approximated by the combination of first- and second-order kinetics. The surface loss probability evaluated from the frequency of the first-order decay process has been on the order of 10^–4. This small surface loss probability has enabled us to observe the second-order decay process. The mechanism of the second-order decay is self-association reaction between CF₂ radicals (CF₂+CF₂C₂F₄). The rate coefficient for this reaction has been evaluated as (2.6–5.3)×10^–14 cm³/s under gas pressures of 2 to 100 mTorr. The rate coefficient was found to be almost independent of the gas pressure and has been in close agreement with known values, which are determined in high gas pressures above 1 Torr.     

一种新的求解变分不等式问题的外梯度投影算法

给出了一种新的求解变分不等式问题的外梯度投影算法．在较弱的条件下证明了算法的全局收敛性，并分析了算法的线性收敛速度。     

南方红豆杉扦插繁殖技术研究Ⅱ.穗条对扦插生根率的影响

本文系统研究了南方红豆杉(Taxus chinensisvar.mairei)扦插育苗中穗条来源对生根率的效应。结果显示,采条母树龄、穗条年龄和穗条采自的树冠部位均对扦插生根率影响较大。本研究3年龄实生苗优于胸径10-20 cm的母树,后者又优于胸径30-40 cm的母树,胸径50 cm以上的最差,且差异显著。在母树龄和树冠部位一样的条件下,1年龄穗条的生根率显著高于2年龄穗条,树冠中部穗条优于上部,下部穗条生根率最低。采用3年龄实生苗为采条母树,并采集树冠中部的1年龄穗条,其最高生根率可达98.7%。研究结果为扦插繁殖中穗条的选择提供科学依据。     

电凝聚法脱除高浓度印染废水CODcr研究

在不同pH值、板间距、电流强度、通电时间、电流密度、投加食盐量的条件下，研究电凝聚法对高浓度染料废水CODcr去除效果，得到了亲水性的高浓度染料活性艳红X-3B染料液CODc，去除的最佳反应条件，为电凝聚法处理染料水的工业化实施提供了有益的参考。     

投资决策中的利润质量分析

利润质量分析是投资者进行投资决策的重要环节。影响利润质量的因素有很多，确立应评价利润质量的主要指标，及各项定量评价指标的基本概念、计算公式、内容解释和指标的应用说明，结合定性分析为投资者正确评价利润质量，进行投资决策提供依据。